Solve an optimization problem in Java

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Barış İycil

April 20, 2023 11:34

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Parameters

Cv : capacity of vehicle type v

dij : traveling distance from node i to j

tij : travel time between node i to j

qid : demand at customer i on day d

sid : service time of customer i on day d

said : arrival time at customer i on day d

ui : extra variable gets a value for each node

Decision Variables

rid : {1, if customer i require service on day d, 0 otherwise}

yivd : {1, if customer i is visited by vehicle type v on day d, 0 otherwise}

xijvd : { 1, if vehicle type v travel from i to j on day d, 0 otherwise}

Min d=1Dv=1Vi=1Nj=1Ndijxijvd

subject to

1. y0vd=1                                                                                    ∀v,d
2. s0da=0                                                                                      ∀d
3. v=1Vyivd=rid                                                                           ∀d, i∈N
4. i=1NqidyivdCv                                                                       ∀v,d
5. ui-ujCv1-xijvd-qjd                                               ∀i,j ∈N \{0} i≠j
6. qiduiCv                                                                          ∀i ∈N  \{0}
7. 0≤sida+ridsid+ti0≤Trid                                                   ∀i≥1, i∈N
8. xijvd, yivd, rid, ∈0,1, sida≥0                                                ∀i,j,v,d

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  Matthias Miltenberger

  • Gurobi Staff

  April 20, 2023 11:56

  Hi!

  What have you tried so far? Where are you stuck?

  Cheers,
  Matthias

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  Barış İycil

  April 20, 2023 12:02

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  I could not write the Gurobi code for Java to this model I will sent the picture as soon as possible

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