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For questions related to the design or implementation of algorithms (exact or heuristic) for solving optimization problems.

0 votes

How to correct this scheduling algorithm?

Infeasibility, in many cases, back to the structure of the problem under study and as @AirSquid mentioned too, it really has not related to the solving algorithm if, it was implemented correctly. One …
A.Omidi's user avatar
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3 votes
Accepted

How to convert 3D bin packing problem to 2D bin packing approximation?

According to the attached file: In the $m$-dimensional bin packing problem ($m$-BPP) there are many large boxes of equal sizes, which are called bins, and the objective is to pack all $n$ items into …
A.Omidi's user avatar
  • 9,446
2 votes

How to solve assignment problem with additional constraints?

I am not aware of how this problem can still be solved by the Hungarian algorithm in an efficient way, but there are some algorithms to tackle such a problem, like $\text{LRPT}$, Longest Remaining Processing …
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12 votes
3 answers
6k views

Performance of a branch and bound algorithm VS branch-cut-heuristics

I was trying to solve a moderate scheduling model using an open-source solver. I did two different ways. A) using pure branch and bound algorithm (disable all options). B) using the default setting …
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2 votes

Constrained optimization with heuristic algorithm in actual production

Besides the mentioned answer, there are many cases in which either a simple rule or an algorithm, or a heuristic can solve a practical problem in an efficient manner and still without defining any con …
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0 votes

Assign jobs to least people with multiple job constraints

There are two things that should be taken into account in your problem. First, the number of staff/resources, and the second the compilation time of all tasks. (The second one already can be changed t …
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10 votes

How to implement a "generic" solver for scheduling problems?

As you mentioned about "scheduling/production planning problems", I refer it to manufacturing planning and detailed schedule. Also, I know that there are specific methods to solve other planning and s …
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2 votes
0 answers
124 views

The linearization of the logical constraints

I know the logical constraints can be linearized by either the logical representation of whose relation, (for pure binary variables e.g. CNF/DNF) or for general form by using Big-M formulation. As I h …
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