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For questions involving mathematical problems that aim to minimize or maximize some objective function, possibly subject to one or more constraints.

1 vote

Understanding DEA better

If you are willing to know about DEA, there are lots of useful materials which can be found by googling. Some of the best ones are: DEA Tranining and Courses DATA ENVELOPMENT ANALYSIS WITH GAMS Implm …
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1 vote

GUI Optimization tool for business users

It actually tried to show the concept of an optimization model like the objective, constraints, etc. by a drag-and-drop scheme. …
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1 vote

How to decide between a inaccurate system and a accurate system with capacity constraints to...

To use simulation- optimization procedure, One way would be as follows: Suppose, you have some jobs in which need to process in stream or chase customer demand. …
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3 votes

Aggregate production planning

The last reference you mentioned is one of the nice books (specifically, in an algebraic modelling language). I would like to add other good references like: Scheduling in Supply Chains Using Mixed …
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1 vote

Constraint Optimization and Feasible Regions

Please, be aware that the constraints more than reduce the feasibility space, shaping what you have tried to model that. This is usually referred the art of modeling. This is where there exists more t …
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4 votes

Have we understood the limitations of the Simplex method on nonlinear programs?

Besides the useful answer of Richard, solving the non-linear equation/constraint by Simplex came back which non-linear terms you have faced in your problem. For example, multiplication of the variable …
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4 votes

Why is Discrete Optimization "Difficult'?

If you are willing to know how long does it take to solve an optimization problem the complexity theory would be a very good starting point. …
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5 votes

Fleet Management: How to allocate vehicles between departments

Based on what you described in the question, the problem you are facing is a variant of the vehicle routing problem. If you have faced some uncertainty, as Prof. Rubin mentioned too, the simulation te …
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7 votes
0 answers
96 views

Calculating robustness of layout plans

We have tried to design a manufacturing cell which will produce specific families of products. We figure out three layout plans for implementation. For practical reasons, we need to calculate the robu …
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5 votes
Accepted

union of constraints

The problem seems can be formulated as a Generalized Disjunctive Programming as follows where each function you mentioned can be assumed as a disjunct of the whole set. \begin{split} \min\ Z = &\ f(x) …
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4 votes
Accepted

Count this to the family of Job Shop Problem?

As per you have a specific route for each job, it sounds like a flexible job shop problem. In a practical situation, many times, a specific job maybe does not need to process in all stages. For exam …
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3 votes
1 answer
107 views

Can simulation be known as a practical AI?

AI algorithms, specifically in industries, can be used to work and manipulate the data to estimate or learn this data to achive a solution or prepare trained data to feed that into an optimization model … almost the same data, e.g. number of failures in a specific station in the production line, to either estimate a function to robust some parameters as a final solution or feed these parameters into an optimization
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2 votes

What kind of scheduling/packing problem is this?

Besides the useful answers mentioned by community folks, some notations would be considered: As there are many scheduling environments in the real situation or academic literature you should first de …
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5 votes

OR-backed serious games

As another interesting source, Recently Burrito optimization game was developed by Larry Snyder and implemented by Gurobi optimization software that is a web-based app that is intended to act as an entry … optimization algorithms are essential in finding an optimal solution. …
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1 vote

How do I model a precedence constraint?

Noted that separate from whether we can solve such a problem, some things should be considered. First, for an assembly line balancing two important factors are the line bottleneck and the required dem …
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