Vehicle Routing Problem (VRP) - Example Hard Mixed-Integer Linear Programming MILP Problem

[Maximus.]

My greatest admiration and respect professor for such amasing contribution. Thank you so much.

[pabloriffo]

THANK YOU VERY MUCH I PASSED THE ASIGNATURE BECAUSE OF YOU

[raunaksinha]

Are the constraints shown at the minute 4:48 the only ones which needs to be considered? How does the model ensure that the outflow from Node 1 should be at least equal to the sum of demand of the all other nodes?

[lprndmr]

You are a life saver sir. Thank you, and keep up with the good work!

[prof.davidfranco]

How can I insert multiple vehicles with different capacities?

[asiermartin]

Hi, may I ask how would he model be if we wanted to make pickups and deliveries instead of fulfilling every delivery from a main warehouse? Thank you so much in advance!

[haoxie-zrgg]

what is $AL$43:$AL$72 = $AM$43:$AM$72 in 4:50 stands for?

[Sherlock_Ohms]

I have become obsessed with operations research, mainly using Excel and Solver to model and solve LP problems. Do you have any books you would recommend?

[minOddo]

how does your model ensure it sill start at node 1 and end with node 1?...OpenSolver is written by my supervisor. thanks for using

[GeoffreyDeSmet]

These days, there are other modern open source solvers for the Vehicle Routing Problem (such as Timefold Solver) that accept Java/Python code instead of math formula, if you prefer that.

[IskandarMuda-wk]

Thank you, sir, the video was very enlightening. Allow me to ask further. Have you ever discussed or solved problems related to airline network planning or airline base selection using Excel Solver like this? And then, how do you create an area plot from the decision variable matrix that you have made? Best Regards

[omerkoc]

Hello teacher, can you send me the excel file of the content in the VRP video you shared on YouTube? I can't download from the link

[karaelifyildiz]

It was very useful and helpful so thank you. Is there any chance you can share the name of the article or paper which includes this mathematical model, pls

[rizalarifando]

Do you have any idea how to formulate the model when we have more than 1 type of vehicle with different capacity? I think this might help. Thank you

[sorahime]

How if it has 2 depots and there is demand that excess the truck capacity?

[Lirim_K]

What heuristic did you use to solve for 30 customers?

[shijin]

Sir, can you share the excel model to get more insights

[yasserbenazzouz]

First of all, thanks for the very intersting video and explanations. I've checked the model and do not understand how can we avoid sub-routes and ensure that each routes goes through the 1 site?

[emilycestari]

Sir, thank you for sharing this model and the excel file. I have a question, if a maximum of 20 trucks may be used and split deliveries are allowed for certain customers, how may those constraints be formulated in OpenSolver in Excel? Thank you very much for your time.

[sathishs]

Is it Possible to add the link for the Open source solver? That would be helpful Thanks