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Incorrect MIP Optimality

Answered
Anian Ruoss
Gurobi-versary
First Comment
First Question

I have two MIP models original.lp and modified.lp which differ only in the two additional constraints of modified.lp. Thus, the objective value of modified.lp should be larger or equal to that of original.lp. However, this is not the case. Moreover, by solving a symmetric MIP, I can verify that the value of modified.lp is correct. Why is OPT(modified.lp) = -0.0609 < -0.05505 = OPT(original.lp) even though Gurobi claims having found the optimal solution in both cases?

 

original.lp

\ LP format - for model browsing. Use MPS format to capture full model detail.
Minimize
  pixel_13_22 + 0 abs_v_x_13_22 + 0 abs_v_y_13_22 + 0 pixel_12_22
   + 0 abs_v_x_12_22 + 0 abs_v_y_12_22 + 0 pixel_14_22 + 0 abs_v_x_14_22
   + 0 abs_v_y_14_22 - pixel_13_21 + 0 abs_v_x_13_21 + 0 abs_v_y_13_21
   + 0 pixel_13_23 + 0 abs_v_x_13_23 + 0 abs_v_y_13_23
Subject To
 interpolation_13_22: top_left_13_22 + top_right_13_22 + bottom_left_13_22
   + bottom_right_13_22 = 1
 interpolation_12_22: top_left_12_22 + top_right_12_22 + bottom_left_12_22
   + bottom_right_12_22 = 1
 interpolation_14_22: top_left_14_22 + top_right_14_22 + bottom_left_14_22
   + bottom_right_14_22 = 1
 interpolation_13_21: top_left_13_21 + top_right_13_21 + bottom_left_13_21
   + bottom_right_13_21 = 1
 interpolation_13_23: top_left_13_23 + top_right_13_23 + bottom_left_13_23
   + bottom_right_13_23 = 1
 flow_p_x_12_22: v_x_13_22 - v_x_12_22 <= 0.01
 flow_n_x_12_22: - v_x_13_22 + v_x_12_22 <= 0.01
 flow_p_y_12_22: v_y_13_22 - v_y_12_22 <= 0.01
 flow_n_y_12_22: - v_y_13_22 + v_y_12_22 <= 0.01
 flow_p_x_14_22: v_x_13_22 - v_x_14_22 <= 0.01
 flow_n_x_14_22: - v_x_13_22 + v_x_14_22 <= 0.01
 flow_p_y_14_22: v_y_13_22 - v_y_14_22 <= 0.01
 flow_n_y_14_22: - v_y_13_22 + v_y_14_22 <= 0.01
 flow_p_x_13_21: v_x_13_22 - v_x_13_21 <= 0.01
 flow_n_x_13_21: - v_x_13_22 + v_x_13_21 <= 0.01
 flow_p_y_13_21: v_y_13_22 - v_y_13_21 <= 0.01
 flow_n_y_13_21: - v_y_13_22 + v_y_13_21 <= 0.01
 flow_p_x_13_23: v_x_13_22 - v_x_13_23 <= 0.01
 flow_n_x_13_23: - v_x_13_22 + v_x_13_23 <= 0.01
 flow_p_y_13_23: v_y_13_22 - v_y_13_23 <= 0.01
 flow_n_y_13_23: - v_y_13_22 + v_y_13_23 <= 0.01
 v_x_top_left_min_13_22: top_left_13_22 = 1 -> - v_x_13_22 <= 0.1
 v_x_top_left_max_13_22: top_left_13_22 = 1 -> v_x_13_22 <= 0
 v_y_top_left_min_13_22: top_left_13_22 = 1 -> - v_y_13_22 <= 0.1
 v_y_top_left_max_13_22: top_left_13_22 = 1 -> v_y_13_22 <= 0
 v_x_top_right_min_13_22: top_right_13_22 = 1 -> - v_x_13_22 <= 0
 v_x_top_right_max_13_22: top_right_13_22 = 1 -> v_x_13_22 <= 0.1
 v_y_top_right_min_13_22: top_right_13_22 = 1 -> - v_y_13_22 <= 0.1
 v_y_top_right_max_13_22: top_right_13_22 = 1 -> v_y_13_22 <= 0
 v_x_bottom_left_min_13_22: bottom_left_13_22 = 1 -> - v_x_13_22 <= 0.1
 v_x_bottom_left_max_13_22: bottom_left_13_22 = 1 -> v_x_13_22 <= 0
 v_y_bottom_left_min_13_22: bottom_left_13_22 = 1 -> - v_y_13_22 <= 0
 v_y_bottom_left_max_13_22: bottom_left_13_22 = 1 -> v_y_13_22 <= 0.1
 v_x_bottom_right_min_13_22: bottom_right_13_22 = 1 -> - v_x_13_22 <= 0
 v_x_bottom_right_max_13_22: bottom_right_13_22 = 1 -> v_x_13_22 <= 0.1
 v_y_bottom_right_min_13_22: bottom_right_13_22 = 1 -> - v_y_13_22 <= 0
 v_y_bottom_right_max_13_22: bottom_right_13_22 = 1 -> v_y_13_22 <= 0.1
 v_x_top_left_min_12_22: top_left_12_22 = 1 -> - v_x_12_22 <= 0.1
 v_x_top_left_max_12_22: top_left_12_22 = 1 -> v_x_12_22 <= 0
 v_y_top_left_min_12_22: top_left_12_22 = 1 -> - v_y_12_22 <= 0.1
 v_y_top_left_max_12_22: top_left_12_22 = 1 -> v_y_12_22 <= 0
 v_x_top_right_min_12_22: top_right_12_22 = 1 -> - v_x_12_22 <= 0
 v_x_top_right_max_12_22: top_right_12_22 = 1 -> v_x_12_22 <= 0.1
 v_y_top_right_min_12_22: top_right_12_22 = 1 -> - v_y_12_22 <= 0.1
 v_y_top_right_max_12_22: top_right_12_22 = 1 -> v_y_12_22 <= 0
 v_x_bottom_left_min_12_22: bottom_left_12_22 = 1 -> - v_x_12_22 <= 0.1
 v_x_bottom_left_max_12_22: bottom_left_12_22 = 1 -> v_x_12_22 <= 0
 v_y_bottom_left_min_12_22: bottom_left_12_22 = 1 -> - v_y_12_22 <= 0
 v_y_bottom_left_max_12_22: bottom_left_12_22 = 1 -> v_y_12_22 <= 0.1
 v_x_bottom_right_min_12_22: bottom_right_12_22 = 1 -> - v_x_12_22 <= 0
 v_x_bottom_right_max_12_22: bottom_right_12_22 = 1 -> v_x_12_22 <= 0.1
 v_y_bottom_right_min_12_22: bottom_right_12_22 = 1 -> - v_y_12_22 <= 0
 v_y_bottom_right_max_12_22: bottom_right_12_22 = 1 -> v_y_12_22 <= 0.1
 v_x_top_left_min_14_22: top_left_14_22 = 1 -> - v_x_14_22 <= 0.1
 v_x_top_left_max_14_22: top_left_14_22 = 1 -> v_x_14_22 <= 0
 v_y_top_left_min_14_22: top_left_14_22 = 1 -> - v_y_14_22 <= 0.1
 v_y_top_left_max_14_22: top_left_14_22 = 1 -> v_y_14_22 <= 0
 v_x_top_right_min_14_22: top_right_14_22 = 1 -> - v_x_14_22 <= 0
 v_x_top_right_max_14_22: top_right_14_22 = 1 -> v_x_14_22 <= 0.1
 v_y_top_right_min_14_22: top_right_14_22 = 1 -> - v_y_14_22 <= 0.1
 v_y_top_right_max_14_22: top_right_14_22 = 1 -> v_y_14_22 <= 0
 v_x_bottom_left_min_14_22: bottom_left_14_22 = 1 -> - v_x_14_22 <= 0.1
 v_x_bottom_left_max_14_22: bottom_left_14_22 = 1 -> v_x_14_22 <= 0
 v_y_bottom_left_min_14_22: bottom_left_14_22 = 1 -> - v_y_14_22 <= 0
 v_y_bottom_left_max_14_22: bottom_left_14_22 = 1 -> v_y_14_22 <= 0.1
 v_x_bottom_right_min_14_22: bottom_right_14_22 = 1 -> - v_x_14_22 <= 0
 v_x_bottom_right_max_14_22: bottom_right_14_22 = 1 -> v_x_14_22 <= 0.1
 v_y_bottom_right_min_14_22: bottom_right_14_22 = 1 -> - v_y_14_22 <= 0
 v_y_bottom_right_max_14_22: bottom_right_14_22 = 1 -> v_y_14_22 <= 0.1
 v_x_top_left_min_13_21: top_left_13_21 = 1 -> - v_x_13_21 <= 0.1
 v_x_top_left_max_13_21: top_left_13_21 = 1 -> v_x_13_21 <= 0
 v_y_top_left_min_13_21: top_left_13_21 = 1 -> - v_y_13_21 <= 0.1
 v_y_top_left_max_13_21: top_left_13_21 = 1 -> v_y_13_21 <= 0
 v_x_top_right_min_13_21: top_right_13_21 = 1 -> - v_x_13_21 <= 0
 v_x_top_right_max_13_21: top_right_13_21 = 1 -> v_x_13_21 <= 0.1
 v_y_top_right_min_13_21: top_right_13_21 = 1 -> - v_y_13_21 <= 0.1
 v_y_top_right_max_13_21: top_right_13_21 = 1 -> v_y_13_21 <= 0
 v_x_bottom_left_min_13_21: bottom_left_13_21 = 1 -> - v_x_13_21 <= 0.1
 v_x_bottom_left_max_13_21: bottom_left_13_21 = 1 -> v_x_13_21 <= 0
 v_y_bottom_left_min_13_21: bottom_left_13_21 = 1 -> - v_y_13_21 <= 0
 v_y_bottom_left_max_13_21: bottom_left_13_21 = 1 -> v_y_13_21 <= 0.1
 v_x_bottom_right_min_13_21: bottom_right_13_21 = 1 -> - v_x_13_21 <= 0
 v_x_bottom_right_max_13_21: bottom_right_13_21 = 1 -> v_x_13_21 <= 0.1
 v_y_bottom_right_min_13_21: bottom_right_13_21 = 1 -> - v_y_13_21 <= 0
 v_y_bottom_right_max_13_21: bottom_right_13_21 = 1 -> v_y_13_21 <= 0.1
 v_x_top_left_min_13_23: top_left_13_23 = 1 -> - v_x_13_23 <= 0.1
 v_x_top_left_max_13_23: top_left_13_23 = 1 -> v_x_13_23 <= 0
 v_y_top_left_min_13_23: top_left_13_23 = 1 -> - v_y_13_23 <= 0.1
 v_y_top_left_max_13_23: top_left_13_23 = 1 -> v_y_13_23 <= 0
 v_x_top_right_min_13_23: top_right_13_23 = 1 -> - v_x_13_23 <= 0
 v_x_top_right_max_13_23: top_right_13_23 = 1 -> v_x_13_23 <= 0.1
 v_y_top_right_min_13_23: top_right_13_23 = 1 -> - v_y_13_23 <= 0.1
 v_y_top_right_max_13_23: top_right_13_23 = 1 -> v_y_13_23 <= 0
 v_x_bottom_left_min_13_23: bottom_left_13_23 = 1 -> - v_x_13_23 <= 0.1
 v_x_bottom_left_max_13_23: bottom_left_13_23 = 1 -> v_x_13_23 <= 0
 v_y_bottom_left_min_13_23: bottom_left_13_23 = 1 -> - v_y_13_23 <= 0
 v_y_bottom_left_max_13_23: bottom_left_13_23 = 1 -> v_y_13_23 <= 0.1
 v_x_bottom_right_min_13_23: bottom_right_13_23 = 1 -> - v_x_13_23 <= 0
 v_x_bottom_right_max_13_23: bottom_right_13_23 = 1 -> v_x_13_23 <= 0.1
 v_y_bottom_right_min_13_23: bottom_right_13_23 = 1 -> - v_y_13_23 <= 0
 v_y_bottom_right_max_13_23: bottom_right_13_23 = 1 -> v_y_13_23 <= 0.1
 top_left_min_v_x_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 - 0.0729411765933037 abs_v_x_13_22 - pixel_13_22
   <= -0.9960784316062927
 top_left_max_v_x_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 + 0.0729411765933037 abs_v_x_13_22 - pixel_13_22
   >= -0.9960784316062927
 top_left_min_v_y_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 - 0.0729411765933037 abs_v_y_13_22 - pixel_13_22
   <= -0.9960784316062927
 top_left_max_v_y_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 + 0.0729411765933037 abs_v_y_13_22 - pixel_13_22
   >= -0.9960784316062927
 top_right_min_v_x_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.0545098036527634 abs_v_x_13_22 - pixel_13_22 <= -0.9960784316062927
 top_right_max_v_x_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.0545098036527634 abs_v_x_13_22 - pixel_13_22 >= -0.9960784316062927
 top_right_min_v_y_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.0545098036527634 abs_v_y_13_22 - pixel_13_22 <= -0.9960784316062927
 top_right_max_v_y_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.0545098036527634 abs_v_y_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_left_min_v_x_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   - 0.0117647051811218 abs_v_x_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_left_max_v_x_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   + 0.0117647051811218 abs_v_x_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_left_min_v_y_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   - 0.0117647051811218 abs_v_y_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_left_max_v_y_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   + 0.0117647051811218 abs_v_y_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_right_min_v_x_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.024705882370472 abs_v_x_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_right_max_v_x_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.024705882370472 abs_v_x_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_right_min_v_y_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.024705882370472 abs_v_y_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_right_max_v_y_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.024705882370472 abs_v_y_13_22 - pixel_13_22 >= -0.9960784316062927
 top_left_min_v_x_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 - 0.0607843138277531 abs_v_x_12_22
   - pixel_12_22 <= -0.8784313797950745
 top_left_max_v_x_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 + 0.0607843138277531 abs_v_x_12_22
   - pixel_12_22 >= -0.8784313797950745
 top_left_min_v_y_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 - 0.0607843138277531 abs_v_y_12_22
   - pixel_12_22 <= -0.8784313797950745
 top_left_max_v_y_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 + 0.0607843138277531 abs_v_y_12_22
   - pixel_12_22 >= -0.8784313797950745
 top_right_min_v_x_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   - 0.0729411765933037 abs_v_x_12_22 - pixel_12_22 <= -0.8784313797950745
 top_right_max_v_x_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   + 0.0729411765933037 abs_v_x_12_22 - pixel_12_22 >= -0.8784313797950745
 top_right_min_v_y_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   - 0.0729411765933037 abs_v_y_12_22 - pixel_12_22 <= -0.8784313797950745
 top_right_max_v_y_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   + 0.0729411765933037 abs_v_y_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_left_min_v_x_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0282352976500988 abs_v_x_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_left_max_v_x_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0282352976500988 abs_v_x_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_left_min_v_y_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0282352976500988 abs_v_y_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_left_max_v_y_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0282352976500988 abs_v_y_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_right_min_v_x_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0117647051811218 abs_v_x_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_right_max_v_x_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0117647051811218 abs_v_x_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_right_min_v_y_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0117647051811218 abs_v_y_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_right_max_v_y_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0117647051811218 abs_v_y_12_22 - pixel_12_22 >= -0.8784313797950745
 top_left_min_v_x_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.0545098036527634 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 top_left_max_v_x_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.0545098036527634 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 top_left_min_v_y_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.0545098036527634 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 top_left_max_v_y_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.0545098036527634 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 top_right_min_v_x_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.024705880926922 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 top_right_max_v_x_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.024705880926922 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 top_right_min_v_y_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.024705880926922 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 top_right_max_v_y_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.024705880926922 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_left_min_v_x_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.024705882370472 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_left_max_v_x_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.024705882370472 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_left_min_v_y_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.024705882370472 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_left_max_v_y_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.024705882370472 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_right_min_v_x_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.0243137254845351 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_right_max_v_x_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.0243137254845351 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_right_min_v_y_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.0243137254845351 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_right_max_v_y_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.0243137254845351 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 top_left_min_v_x_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.00627450803294778 abs_v_x_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_left_max_v_x_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.00627450803294778 abs_v_x_13_21
   - pixel_13_21 >= -0.9960784316062927
 top_left_min_v_y_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.00627450803294778 abs_v_y_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_left_max_v_y_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.00627450803294778 abs_v_y_13_21
   - pixel_13_21 >= -0.9960784316062927
 top_right_min_v_x_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.0199999988079071 abs_v_x_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_right_max_v_x_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.0199999988079071 abs_v_x_13_21
   - pixel_13_21 >= -0.9960784316062927
 top_right_min_v_y_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.0199999988079071 abs_v_y_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_right_max_v_y_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.0199999988079071 abs_v_y_13_21
   - pixel_13_21 >= -0.9960784316062927
 bottom_left_min_v_x_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   - 0.0729411765933037 abs_v_x_13_21 - pixel_13_21 <= -0.9960784316062927
 bottom_left_max_v_x_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   + 0.0729411765933037 abs_v_x_13_21 - pixel_13_21 >= -0.9960784316062927
 bottom_left_min_v_y_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   - 0.0729411765933037 abs_v_y_13_21 - pixel_13_21 <= -0.9960784316062927
 bottom_left_max_v_y_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   + 0.0729411765933037 abs_v_y_13_21 - pixel_13_21 >= -0.9960784316062927
 bottom_right_min_v_x_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 - 0.0545098036527634 abs_v_x_13_21 - pixel_13_21
   <= -0.9960784316062927
 bottom_right_max_v_x_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 + 0.0545098036527634 abs_v_x_13_21 - pixel_13_21
   >= -0.9960784316062927
 bottom_right_min_v_y_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 - 0.0545098036527634 abs_v_y_13_21 - pixel_13_21
   <= -0.9960784316062927
 bottom_right_max_v_y_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 + 0.0545098036527634 abs_v_y_13_21 - pixel_13_21
   >= -0.9960784316062927
 top_left_min_v_x_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   - 0.0117647051811218 abs_v_x_13_23 - pixel_13_23 <= -0.9960784316062927
 top_left_max_v_x_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   + 0.0117647051811218 abs_v_x_13_23 - pixel_13_23 >= -0.9960784316062927
 top_left_min_v_y_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   - 0.0117647051811218 abs_v_y_13_23 - pixel_13_23 <= -0.9960784316062927
 top_left_max_v_y_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   + 0.0117647051811218 abs_v_y_13_23 - pixel_13_23 >= -0.9960784316062927
 top_right_min_v_x_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   - 0.024705882370472 abs_v_x_13_23 - pixel_13_23 <= -0.9960784316062927
 top_right_max_v_x_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   + 0.024705882370472 abs_v_x_13_23 - pixel_13_23 >= -0.9960784316062927
 top_right_min_v_y_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   - 0.024705882370472 abs_v_y_13_23 - pixel_13_23 <= -0.9960784316062927
 top_right_max_v_y_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   + 0.024705882370472 abs_v_y_13_23 - pixel_13_23 >= -0.9960784316062927
 bottom_left_min_v_x_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_x_13_23 - pixel_13_23 <= -0.9960784316062927
 bottom_left_max_v_x_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_x_13_23 - pixel_13_23 >= -0.9960784316062927
 bottom_left_min_v_y_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_y_13_23 - pixel_13_23 <= -0.9960784316062927
 bottom_left_max_v_y_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_y_13_23 - pixel_13_23 >= -0.9960784316062927
 bottom_right_min_v_x_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_x_13_23
   - pixel_13_23 <= -0.9960784316062927
 bottom_right_max_v_x_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_x_13_23
   - pixel_13_23 >= -0.9960784316062927
 bottom_right_min_v_y_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_y_13_23
   - pixel_13_23 <= -0.9960784316062927
 bottom_right_max_v_y_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_y_13_23
   - pixel_13_23 >= -0.9960784316062927
Bounds
 pixel_13_22 <= 1
 -0.1 <= v_x_13_22 <= 0.1
 -0.1 <= v_y_13_22 <= 0.1
 pixel_12_22 <= 1
 -0.1 <= v_x_12_22 <= 0.1
 -0.1 <= v_y_12_22 <= 0.1
 pixel_14_22 <= 1
 -0.1 <= v_x_14_22 <= 0.1
 -0.1 <= v_y_14_22 <= 0.1
 pixel_13_21 <= 1
 -0.1 <= v_x_13_21 <= 0.1
 -0.1 <= v_y_13_21 <= 0.1
 pixel_13_23 <= 1
 -0.1 <= v_x_13_23 <= 0.1
 -0.1 <= v_y_13_23 <= 0.1
Binaries
 top_left_13_22 top_right_13_22 bottom_left_13_22 bottom_right_13_22
 top_left_12_22 top_right_12_22 bottom_left_12_22 bottom_right_12_22
 top_left_14_22 top_right_14_22 bottom_left_14_22 bottom_right_14_22
 top_left_13_21 top_right_13_21 bottom_left_13_21 bottom_right_13_21
 top_left_13_23 top_right_13_23 bottom_left_13_23 bottom_right_13_23
General Constraints
 abs_v_x_13_22: abs_v_x_13_22 = ABS ( v_x_13_22 )
 abs_v_y_13_22: abs_v_y_13_22 = ABS ( v_y_13_22 )
 abs_v_x_12_22: abs_v_x_12_22 = ABS ( v_x_12_22 )
 abs_v_y_12_22: abs_v_y_12_22 = ABS ( v_y_12_22 )
 abs_v_x_14_22: abs_v_x_14_22 = ABS ( v_x_14_22 )
 abs_v_y_14_22: abs_v_y_14_22 = ABS ( v_y_14_22 )
 abs_v_x_13_21: abs_v_x_13_21 = ABS ( v_x_13_21 )
 abs_v_y_13_21: abs_v_y_13_21 = ABS ( v_y_13_21 )
 abs_v_x_13_23: abs_v_x_13_23 = ABS ( v_x_13_23 )
 abs_v_y_13_23: abs_v_y_13_23 = ABS ( v_y_13_23 )
End

 

modified.lp

\ LP format - for model browsing. Use MPS format to capture full model detail.
Minimize
  pixel_13_22 + 0 abs_v_x_13_22 + 0 abs_v_y_13_22 + 0 pixel_12_22
   + 0 abs_v_x_12_22 + 0 abs_v_y_12_22 + 0 pixel_14_22 + 0 abs_v_x_14_22
   + 0 abs_v_y_14_22 - pixel_13_21 + 0 abs_v_x_13_21 + 0 abs_v_y_13_21
   + 0 pixel_13_23 + 0 abs_v_x_13_23 + 0 abs_v_y_13_23
Subject To
 manual_1: v_x_13_21 = 0.08999999999999989
 manual_2: v_y_13_21 = 0.1
 interpolation_13_22: top_left_13_22 + top_right_13_22 + bottom_left_13_22
   + bottom_right_13_22 = 1
 interpolation_12_22: top_left_12_22 + top_right_12_22 + bottom_left_12_22
   + bottom_right_12_22 = 1
 interpolation_14_22: top_left_14_22 + top_right_14_22 + bottom_left_14_22
   + bottom_right_14_22 = 1
 interpolation_13_21: top_left_13_21 + top_right_13_21 + bottom_left_13_21
   + bottom_right_13_21 = 1
 interpolation_13_23: top_left_13_23 + top_right_13_23 + bottom_left_13_23
   + bottom_right_13_23 = 1
 flow_p_x_12_22: v_x_13_22 - v_x_12_22 <= 0.01
 flow_n_x_12_22: - v_x_13_22 + v_x_12_22 <= 0.01
 flow_p_y_12_22: v_y_13_22 - v_y_12_22 <= 0.01
 flow_n_y_12_22: - v_y_13_22 + v_y_12_22 <= 0.01
 flow_p_x_14_22: v_x_13_22 - v_x_14_22 <= 0.01
 flow_n_x_14_22: - v_x_13_22 + v_x_14_22 <= 0.01
 flow_p_y_14_22: v_y_13_22 - v_y_14_22 <= 0.01
 flow_n_y_14_22: - v_y_13_22 + v_y_14_22 <= 0.01
 flow_p_x_13_21: v_x_13_22 - v_x_13_21 <= 0.01
 flow_n_x_13_21: - v_x_13_22 + v_x_13_21 <= 0.01
 flow_p_y_13_21: v_y_13_22 - v_y_13_21 <= 0.01
 flow_n_y_13_21: - v_y_13_22 + v_y_13_21 <= 0.01
 flow_p_x_13_23: v_x_13_22 - v_x_13_23 <= 0.01
 flow_n_x_13_23: - v_x_13_22 + v_x_13_23 <= 0.01
 flow_p_y_13_23: v_y_13_22 - v_y_13_23 <= 0.01
 flow_n_y_13_23: - v_y_13_22 + v_y_13_23 <= 0.01
 v_x_top_left_min_13_22: top_left_13_22 = 1 -> - v_x_13_22 <= 0.1
 v_x_top_left_max_13_22: top_left_13_22 = 1 -> v_x_13_22 <= 0
 v_y_top_left_min_13_22: top_left_13_22 = 1 -> - v_y_13_22 <= 0.1
 v_y_top_left_max_13_22: top_left_13_22 = 1 -> v_y_13_22 <= 0
 v_x_top_right_min_13_22: top_right_13_22 = 1 -> - v_x_13_22 <= 0
 v_x_top_right_max_13_22: top_right_13_22 = 1 -> v_x_13_22 <= 0.1
 v_y_top_right_min_13_22: top_right_13_22 = 1 -> - v_y_13_22 <= 0.1
 v_y_top_right_max_13_22: top_right_13_22 = 1 -> v_y_13_22 <= 0
 v_x_bottom_left_min_13_22: bottom_left_13_22 = 1 -> - v_x_13_22 <= 0.1
 v_x_bottom_left_max_13_22: bottom_left_13_22 = 1 -> v_x_13_22 <= 0
 v_y_bottom_left_min_13_22: bottom_left_13_22 = 1 -> - v_y_13_22 <= 0
 v_y_bottom_left_max_13_22: bottom_left_13_22 = 1 -> v_y_13_22 <= 0.1
 v_x_bottom_right_min_13_22: bottom_right_13_22 = 1 -> - v_x_13_22 <= 0
 v_x_bottom_right_max_13_22: bottom_right_13_22 = 1 -> v_x_13_22 <= 0.1
 v_y_bottom_right_min_13_22: bottom_right_13_22 = 1 -> - v_y_13_22 <= 0
 v_y_bottom_right_max_13_22: bottom_right_13_22 = 1 -> v_y_13_22 <= 0.1
 v_x_top_left_min_12_22: top_left_12_22 = 1 -> - v_x_12_22 <= 0.1
 v_x_top_left_max_12_22: top_left_12_22 = 1 -> v_x_12_22 <= 0
 v_y_top_left_min_12_22: top_left_12_22 = 1 -> - v_y_12_22 <= 0.1
 v_y_top_left_max_12_22: top_left_12_22 = 1 -> v_y_12_22 <= 0
 v_x_top_right_min_12_22: top_right_12_22 = 1 -> - v_x_12_22 <= 0
 v_x_top_right_max_12_22: top_right_12_22 = 1 -> v_x_12_22 <= 0.1
 v_y_top_right_min_12_22: top_right_12_22 = 1 -> - v_y_12_22 <= 0.1
 v_y_top_right_max_12_22: top_right_12_22 = 1 -> v_y_12_22 <= 0
 v_x_bottom_left_min_12_22: bottom_left_12_22 = 1 -> - v_x_12_22 <= 0.1
 v_x_bottom_left_max_12_22: bottom_left_12_22 = 1 -> v_x_12_22 <= 0
 v_y_bottom_left_min_12_22: bottom_left_12_22 = 1 -> - v_y_12_22 <= 0
 v_y_bottom_left_max_12_22: bottom_left_12_22 = 1 -> v_y_12_22 <= 0.1
 v_x_bottom_right_min_12_22: bottom_right_12_22 = 1 -> - v_x_12_22 <= 0
 v_x_bottom_right_max_12_22: bottom_right_12_22 = 1 -> v_x_12_22 <= 0.1
 v_y_bottom_right_min_12_22: bottom_right_12_22 = 1 -> - v_y_12_22 <= 0
 v_y_bottom_right_max_12_22: bottom_right_12_22 = 1 -> v_y_12_22 <= 0.1
 v_x_top_left_min_14_22: top_left_14_22 = 1 -> - v_x_14_22 <= 0.1
 v_x_top_left_max_14_22: top_left_14_22 = 1 -> v_x_14_22 <= 0
 v_y_top_left_min_14_22: top_left_14_22 = 1 -> - v_y_14_22 <= 0.1
 v_y_top_left_max_14_22: top_left_14_22 = 1 -> v_y_14_22 <= 0
 v_x_top_right_min_14_22: top_right_14_22 = 1 -> - v_x_14_22 <= 0
 v_x_top_right_max_14_22: top_right_14_22 = 1 -> v_x_14_22 <= 0.1
 v_y_top_right_min_14_22: top_right_14_22 = 1 -> - v_y_14_22 <= 0.1
 v_y_top_right_max_14_22: top_right_14_22 = 1 -> v_y_14_22 <= 0
 v_x_bottom_left_min_14_22: bottom_left_14_22 = 1 -> - v_x_14_22 <= 0.1
 v_x_bottom_left_max_14_22: bottom_left_14_22 = 1 -> v_x_14_22 <= 0
 v_y_bottom_left_min_14_22: bottom_left_14_22 = 1 -> - v_y_14_22 <= 0
 v_y_bottom_left_max_14_22: bottom_left_14_22 = 1 -> v_y_14_22 <= 0.1
 v_x_bottom_right_min_14_22: bottom_right_14_22 = 1 -> - v_x_14_22 <= 0
 v_x_bottom_right_max_14_22: bottom_right_14_22 = 1 -> v_x_14_22 <= 0.1
 v_y_bottom_right_min_14_22: bottom_right_14_22 = 1 -> - v_y_14_22 <= 0
 v_y_bottom_right_max_14_22: bottom_right_14_22 = 1 -> v_y_14_22 <= 0.1
 v_x_top_left_min_13_21: top_left_13_21 = 1 -> - v_x_13_21 <= 0.1
 v_x_top_left_max_13_21: top_left_13_21 = 1 -> v_x_13_21 <= 0
 v_y_top_left_min_13_21: top_left_13_21 = 1 -> - v_y_13_21 <= 0.1
 v_y_top_left_max_13_21: top_left_13_21 = 1 -> v_y_13_21 <= 0
 v_x_top_right_min_13_21: top_right_13_21 = 1 -> - v_x_13_21 <= 0
 v_x_top_right_max_13_21: top_right_13_21 = 1 -> v_x_13_21 <= 0.1
 v_y_top_right_min_13_21: top_right_13_21 = 1 -> - v_y_13_21 <= 0.1
 v_y_top_right_max_13_21: top_right_13_21 = 1 -> v_y_13_21 <= 0
 v_x_bottom_left_min_13_21: bottom_left_13_21 = 1 -> - v_x_13_21 <= 0.1
 v_x_bottom_left_max_13_21: bottom_left_13_21 = 1 -> v_x_13_21 <= 0
 v_y_bottom_left_min_13_21: bottom_left_13_21 = 1 -> - v_y_13_21 <= 0
 v_y_bottom_left_max_13_21: bottom_left_13_21 = 1 -> v_y_13_21 <= 0.1
 v_x_bottom_right_min_13_21: bottom_right_13_21 = 1 -> - v_x_13_21 <= 0
 v_x_bottom_right_max_13_21: bottom_right_13_21 = 1 -> v_x_13_21 <= 0.1
 v_y_bottom_right_min_13_21: bottom_right_13_21 = 1 -> - v_y_13_21 <= 0
 v_y_bottom_right_max_13_21: bottom_right_13_21 = 1 -> v_y_13_21 <= 0.1
 v_x_top_left_min_13_23: top_left_13_23 = 1 -> - v_x_13_23 <= 0.1
 v_x_top_left_max_13_23: top_left_13_23 = 1 -> v_x_13_23 <= 0
 v_y_top_left_min_13_23: top_left_13_23 = 1 -> - v_y_13_23 <= 0.1
 v_y_top_left_max_13_23: top_left_13_23 = 1 -> v_y_13_23 <= 0
 v_x_top_right_min_13_23: top_right_13_23 = 1 -> - v_x_13_23 <= 0
 v_x_top_right_max_13_23: top_right_13_23 = 1 -> v_x_13_23 <= 0.1
 v_y_top_right_min_13_23: top_right_13_23 = 1 -> - v_y_13_23 <= 0.1
 v_y_top_right_max_13_23: top_right_13_23 = 1 -> v_y_13_23 <= 0
 v_x_bottom_left_min_13_23: bottom_left_13_23 = 1 -> - v_x_13_23 <= 0.1
 v_x_bottom_left_max_13_23: bottom_left_13_23 = 1 -> v_x_13_23 <= 0
 v_y_bottom_left_min_13_23: bottom_left_13_23 = 1 -> - v_y_13_23 <= 0
 v_y_bottom_left_max_13_23: bottom_left_13_23 = 1 -> v_y_13_23 <= 0.1
 v_x_bottom_right_min_13_23: bottom_right_13_23 = 1 -> - v_x_13_23 <= 0
 v_x_bottom_right_max_13_23: bottom_right_13_23 = 1 -> v_x_13_23 <= 0.1
 v_y_bottom_right_min_13_23: bottom_right_13_23 = 1 -> - v_y_13_23 <= 0
 v_y_bottom_right_max_13_23: bottom_right_13_23 = 1 -> v_y_13_23 <= 0.1
 top_left_min_v_x_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 - 0.0729411765933037 abs_v_x_13_22 - pixel_13_22
   <= -0.9960784316062927
 top_left_max_v_x_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 + 0.0729411765933037 abs_v_x_13_22 - pixel_13_22
   >= -0.9960784316062927
 top_left_min_v_y_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 - 0.0729411765933037 abs_v_y_13_22 - pixel_13_22
   <= -0.9960784316062927
 top_left_max_v_y_13_22: top_left_13_22 = 1 -> 0.1176470518112183 v_x_13_22
   - 0 v_y_13_22 + 0.0729411765933037 abs_v_y_13_22 - pixel_13_22
   >= -0.9960784316062927
 top_right_min_v_x_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.0545098036527634 abs_v_x_13_22 - pixel_13_22 <= -0.9960784316062927
 top_right_max_v_x_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.0545098036527634 abs_v_x_13_22 - pixel_13_22 >= -0.9960784316062927
 top_right_min_v_y_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.0545098036527634 abs_v_y_13_22 - pixel_13_22 <= -0.9960784316062927
 top_right_max_v_y_13_22: top_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.0545098036527634 abs_v_y_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_left_min_v_x_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   - 0.0117647051811218 abs_v_x_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_left_max_v_x_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   + 0.0117647051811218 abs_v_x_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_left_min_v_y_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   - 0.0117647051811218 abs_v_y_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_left_max_v_y_13_22: bottom_left_13_22 = 1 ->
   0.1176470518112183 v_x_13_22 - 0 v_y_13_22
   + 0.0117647051811218 abs_v_y_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_right_min_v_x_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.024705882370472 abs_v_x_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_right_max_v_x_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.024705882370472 abs_v_x_13_22 - pixel_13_22 >= -0.9960784316062927
 bottom_right_min_v_y_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   - 0.024705882370472 abs_v_y_13_22 - pixel_13_22 <= -0.9960784316062927
 bottom_right_max_v_y_13_22: bottom_right_13_22 = 1 ->
   - 0.5450980365276337 v_x_13_22 - 0 v_y_13_22
   + 0.024705882370472 abs_v_y_13_22 - pixel_13_22 >= -0.9960784316062927
 top_left_min_v_x_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 - 0.0607843138277531 abs_v_x_12_22
   - pixel_12_22 <= -0.8784313797950745
 top_left_max_v_x_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 + 0.0607843138277531 abs_v_x_12_22
   - pixel_12_22 >= -0.8784313797950745
 top_left_min_v_y_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 - 0.0607843138277531 abs_v_y_12_22
   - pixel_12_22 <= -0.8784313797950745
 top_left_max_v_y_12_22: top_left_12_22 = 1 -> 0.7568627521395683 v_x_12_22
   + 0.7294117659330368 v_y_12_22 + 0.0607843138277531 abs_v_y_12_22
   - pixel_12_22 >= -0.8784313797950745
 top_right_min_v_x_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   - 0.0729411765933037 abs_v_x_12_22 - pixel_12_22 <= -0.8784313797950745
 top_right_max_v_x_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   + 0.0729411765933037 abs_v_x_12_22 - pixel_12_22 >= -0.8784313797950745
 top_right_min_v_y_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   - 0.0729411765933037 abs_v_y_12_22 - pixel_12_22 <= -0.8784313797950745
 top_right_max_v_y_12_22: top_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.7294117659330368 v_y_12_22
   + 0.0729411765933037 abs_v_y_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_left_min_v_x_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0282352976500988 abs_v_x_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_left_max_v_x_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0282352976500988 abs_v_x_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_left_min_v_y_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0282352976500988 abs_v_y_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_left_max_v_y_12_22: bottom_left_12_22 = 1 ->
   0.7568627521395683 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0282352976500988 abs_v_y_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_right_min_v_x_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0117647051811218 abs_v_x_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_right_max_v_x_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0117647051811218 abs_v_x_12_22 - pixel_12_22 >= -0.8784313797950745
 bottom_right_min_v_y_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   - 0.0117647051811218 abs_v_y_12_22 - pixel_12_22 <= -0.8784313797950745
 bottom_right_max_v_y_12_22: bottom_right_12_22 = 1 ->
   0.1176470518112183 v_x_12_22 + 0.1176470518112183 v_y_12_22
   + 0.0117647051811218 abs_v_y_12_22 - pixel_12_22 >= -0.8784313797950745
 top_left_min_v_x_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.0545098036527634 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 top_left_max_v_x_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.0545098036527634 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 top_left_min_v_y_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.0545098036527634 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 top_left_max_v_y_14_22: top_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.0545098036527634 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 top_right_min_v_x_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.024705880926922 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 top_right_max_v_x_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.024705880926922 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 top_right_min_v_y_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   - 0.024705880926922 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 top_right_max_v_y_14_22: top_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.5450980365276337 v_y_14_22
   + 0.024705880926922 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_left_min_v_x_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.024705882370472 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_left_max_v_x_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.024705882370472 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_left_min_v_y_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.024705882370472 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_left_max_v_y_14_22: bottom_left_14_22 = 1 ->
   - 0.5450980365276337 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.024705882370472 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_right_min_v_x_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.0243137254845351 abs_v_x_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_right_max_v_x_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.0243137254845351 abs_v_x_14_22 - pixel_14_22 >= -0.4509803950786591
 bottom_right_min_v_y_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   - 0.0243137254845351 abs_v_y_14_22 - pixel_14_22 <= -0.4509803950786591
 bottom_right_max_v_y_14_22: bottom_right_14_22 = 1 ->
   - 0.4470588262192905 v_x_14_22 - 0.2470588237047195 v_y_14_22
   + 0.0243137254845351 abs_v_y_14_22 - pixel_14_22 >= -0.4509803950786591
 top_left_min_v_x_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.00627450803294778 abs_v_x_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_left_max_v_x_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.00627450803294778 abs_v_x_13_21
   - pixel_13_21 >= -0.9960784316062927
 top_left_min_v_y_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.00627450803294778 abs_v_y_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_left_max_v_y_13_21: top_left_13_21 = 1 -> 0.8470588177442551 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.00627450803294778 abs_v_y_13_21
   - pixel_13_21 >= -0.9960784316062927
 top_right_min_v_x_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.0199999988079071 abs_v_x_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_right_max_v_x_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.0199999988079071 abs_v_x_13_21
   - pixel_13_21 >= -0.9960784316062927
 top_right_min_v_y_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 - 0.0199999988079071 abs_v_y_13_21
   - pixel_13_21 <= -0.9960784316062927
 top_right_max_v_y_13_21: top_right_13_21 = 1 -> - 0 v_x_13_21
   + 0.199999988079071 v_y_13_21 + 0.0199999988079071 abs_v_y_13_21
   - pixel_13_21 >= -0.9960784316062927
 bottom_left_min_v_x_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   - 0.0729411765933037 abs_v_x_13_21 - pixel_13_21 <= -0.9960784316062927
 bottom_left_max_v_x_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   + 0.0729411765933037 abs_v_x_13_21 - pixel_13_21 >= -0.9960784316062927
 bottom_left_min_v_y_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   - 0.0729411765933037 abs_v_y_13_21 - pixel_13_21 <= -0.9960784316062927
 bottom_left_max_v_y_13_21: bottom_left_13_21 = 1 ->
   0.8470588177442551 v_x_13_21 - 0 v_y_13_21
   + 0.0729411765933037 abs_v_y_13_21 - pixel_13_21 >= -0.9960784316062927
 bottom_right_min_v_x_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 - 0.0545098036527634 abs_v_x_13_21 - pixel_13_21
   <= -0.9960784316062927
 bottom_right_max_v_x_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 + 0.0545098036527634 abs_v_x_13_21 - pixel_13_21
   >= -0.9960784316062927
 bottom_right_min_v_y_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 - 0.0545098036527634 abs_v_y_13_21 - pixel_13_21
   <= -0.9960784316062927
 bottom_right_max_v_y_13_21: bottom_right_13_21 = 1 -> - 0 v_x_13_21
   - 0 v_y_13_21 + 0.0545098036527634 abs_v_y_13_21 - pixel_13_21
   >= -0.9960784316062927
 top_left_min_v_x_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   - 0.0117647051811218 abs_v_x_13_23 - pixel_13_23 <= -0.9960784316062927
 top_left_max_v_x_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   + 0.0117647051811218 abs_v_x_13_23 - pixel_13_23 >= -0.9960784316062927
 top_left_min_v_y_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   - 0.0117647051811218 abs_v_y_13_23 - pixel_13_23 <= -0.9960784316062927
 top_left_max_v_y_13_23: top_left_13_23 = 1 -> - 0 v_x_13_23 - 0 v_y_13_23
   + 0.0117647051811218 abs_v_y_13_23 - pixel_13_23 >= -0.9960784316062927
 top_right_min_v_x_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   - 0.024705882370472 abs_v_x_13_23 - pixel_13_23 <= -0.9960784316062927
 top_right_max_v_x_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   + 0.024705882370472 abs_v_x_13_23 - pixel_13_23 >= -0.9960784316062927
 top_right_min_v_y_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   - 0.024705882370472 abs_v_y_13_23 - pixel_13_23 <= -0.9960784316062927
 top_right_max_v_y_13_23: top_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23
   + 0.024705882370472 abs_v_y_13_23 - pixel_13_23 >= -0.9960784316062927
 bottom_left_min_v_x_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_x_13_23 - pixel_13_23 <= -0.9960784316062927
 bottom_left_max_v_x_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_x_13_23 - pixel_13_23 >= -0.9960784316062927
 bottom_left_min_v_y_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_y_13_23 - pixel_13_23 <= -0.9960784316062927
 bottom_left_max_v_y_13_23: bottom_left_13_23 = 1 -> - 0 v_x_13_23
   - 0 v_y_13_23 - 0 abs_v_y_13_23 - pixel_13_23 >= -0.9960784316062927
 bottom_right_min_v_x_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_x_13_23
   - pixel_13_23 <= -0.9960784316062927
 bottom_right_max_v_x_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_x_13_23
   - pixel_13_23 >= -0.9960784316062927
 bottom_right_min_v_y_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_y_13_23
   - pixel_13_23 <= -0.9960784316062927
 bottom_right_max_v_y_13_23: bottom_right_13_23 = 1 ->
   - 0.7921568602323532 v_x_13_23 - 0 v_y_13_23 - 0 abs_v_y_13_23
   - pixel_13_23 >= -0.9960784316062927
Bounds
 pixel_13_22 <= 1
 -0.1 <= v_x_13_22 <= 0.1
 -0.1 <= v_y_13_22 <= 0.1
 pixel_12_22 <= 1
 -0.1 <= v_x_12_22 <= 0.1
 -0.1 <= v_y_12_22 <= 0.1
 pixel_14_22 <= 1
 -0.1 <= v_x_14_22 <= 0.1
 -0.1 <= v_y_14_22 <= 0.1
 pixel_13_21 <= 1
 -0.1 <= v_x_13_21 <= 0.1
 -0.1 <= v_y_13_21 <= 0.1
 pixel_13_23 <= 1
 -0.1 <= v_x_13_23 <= 0.1
 -0.1 <= v_y_13_23 <= 0.1
Binaries
 top_left_13_22 top_right_13_22 bottom_left_13_22 bottom_right_13_22
 top_left_12_22 top_right_12_22 bottom_left_12_22 bottom_right_12_22
 top_left_14_22 top_right_14_22 bottom_left_14_22 bottom_right_14_22
 top_left_13_21 top_right_13_21 bottom_left_13_21 bottom_right_13_21
 top_left_13_23 top_right_13_23 bottom_left_13_23 bottom_right_13_23
General Constraints
 abs_v_x_13_22: abs_v_x_13_22 = ABS ( v_x_13_22 )
 abs_v_y_13_22: abs_v_y_13_22 = ABS ( v_y_13_22 )
 abs_v_x_12_22: abs_v_x_12_22 = ABS ( v_x_12_22 )
 abs_v_y_12_22: abs_v_y_12_22 = ABS ( v_y_12_22 )
 abs_v_x_14_22: abs_v_x_14_22 = ABS ( v_x_14_22 )
 abs_v_y_14_22: abs_v_y_14_22 = ABS ( v_y_14_22 )
 abs_v_x_13_21: abs_v_x_13_21 = ABS ( v_x_13_21 )
 abs_v_y_13_21: abs_v_y_13_21 = ABS ( v_y_13_21 )
 abs_v_x_13_23: abs_v_x_13_23 = ABS ( v_x_13_23 )
 abs_v_y_13_23: abs_v_y_13_23 = ABS ( v_y_13_23 )
End
1

Comments

6 comments

Date Votes
  • Official comment
    Simranjit Kaur
    Gurobi Staff Gurobi Staff
    This post is more than three years old. Some information may not be up to date. For current information, please check the Gurobi Documentation or Knowledge Base. If you need more help, please create a new post in the community forum. Or why not try our AI Gurobot?.
  • Jennifer Locke
    Gurobi Staff Gurobi Staff

    Solving these two models on gurobi 8.11 and 9.0 beta,using Gurobi's default parameters, result in the same optimal solution of -6.090196028352e-02.  The original model was found to  have three solutions -0.060902 -0.0550549 -0.00117647, while the modified model resulted in only one solution -0.060902. 

    Are you using any parameters or stopping criteria?

     

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  • Anian Ruoss
    Gurobi-versary
    First Comment
    First Question

    No, but I'm using Gurobi 8.10. Do you think this could explain the difference?

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  • Jennifer Locke
    Gurobi Staff Gurobi Staff

    I tested with 8.10, I see the same results as 8.1.1.  Can you post your log files?

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  • Anian Ruoss
    Gurobi-versary
    First Comment
    First Question

    I upgraded to 8.1.1 and the error disappeared. Do you want me to roll back and post the log files? Otherwise the issue is resolved from my side. 

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  • Jennifer Locke
    Gurobi Staff Gurobi Staff

    I am glad the issues is gone. If you see it again, please resubmit a question with your log files.

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