Questions tagged [reference-request]

For questions asking for references from the literature or textbooks on specific topics.

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25
votes
17answers
3k views

Recommended books/materials for practical applications of Operations Research in industry

I have a Masters' degree in Mathematics. I've very fair understanding of methods and techniques of Operations Research. I am looking for a good book/material where I can see a lot of examples on Math ...
13
votes
4answers
892 views

Single reference for Mixed Integer Programming formulations to linearize, handle logical constraints and disjunctive constraints, do Big M, etc?

Is there a single crisp and accessible reference which covers how to generate Mixed Integer Programming formulations to linearize products, handle logical constraints and disjunctive constraints, do ...
23
votes
9answers
533 views

Reference for column generation applications

When talking about column generation algorithms, the main example is the cutting stock problem. I'm aware that variations of vehicle routing problem (VRP) can be solved using a column generation ...
18
votes
7answers
771 views

Deploying OR solutions and shipping projects

My background is a bachelor in mathematics. I learned basics OR on my own using the following : Introduction to Operations Research by F. Hillier and G. Lieberman Integer programming by l. Wolsey How ...
5
votes
2answers
445 views

Linear and Integer programming materials

I was wondering if you could refer me to some online video/text resources to learn linear and integer programming. I am intending to work in the field of data science. I greatly appreciate your kind ...
24
votes
9answers
3k views

What are Operations Research applications for 'good causes'?

I am looking for applications of OR for good causes, possibly with some literature. I intend a good cause loosely defined in the sense that the scope is that of improving the well-being of others, e.g....
5
votes
3answers
213 views

Global Optimization when the exponential function is involved

I wonder if there are methods to determine the global optimum of MINLP problems, when the nonlinear functions involved are only of the form $Z = Y e^{- \alpha X}$, where $Y \ge 0$ and $X \ge 0$. Are ...
25
votes
5answers
4k views

Cubic programming and beyond?

It is almost inevitable in Operations Research to come across linear or quadratic programming problems. The overall structures of these problems are below: \begin{align}\begin{array}{ll} \sf{Linear}\\ ...
26
votes
3answers
502 views

What are best practices to make optimization user interfaces intuitive for the user?

For many operations research applications a user will often be in charge of making the final decision and will use the optimization algorithms software as a part of their planning flow. Therefore, ...
23
votes
5answers
1k views

Solving pricing problem heuristically in column generation algorithm for VRP

In the set covering/column generation approach for the VRP (Balinski and Quandt (1964), or e.g. this tutorial), the basic idea is: Generate some routes. Solve the set covering problem using those ...
12
votes
2answers
582 views

How to handle an IP sub-problem with an objective function in Benders Decomposition

I have a question on Benders Decomposition (BD). Suppose I have an MILP model which can be decomposed into a master problem (MP) including integer and continuous variables and a subproblem (SP) ...
12
votes
5answers
1k views

Is Hillier F. Introductory to Operations Research a good book for a data analyst interested in Operation Research field?

Is Hillier F. Introduction to Operations Research a good book for a data analyst? I was particularly interested in Operations Research especially when I was reading about the history about this area: ...
16
votes
3answers
403 views

Customer clustering to solve very large-scale VRPs

I am looking for references that used customer aggregation to solve large-scale Vehicle Routing Problems. By aggregation, I mean clustering the customers together and representing them with one node ...
15
votes
2answers
335 views

references on the empirical study on the practice of OR

I am looking for (introductory) references on the empirical studies on the practice of OR. I mean literature that looks at questions like: Which methods are used in practice? How do people ...
15
votes
1answer
214 views

Has the expressibility of 'non-integrality testing' as extension to MILP been studied before?

It turns out that extending MILP with any of the constraints $y=\lfloor x\rfloor$, $y=\lceil x\rceil$, $0 < x$, or $x\notin \mathbb{Z}$ is 'equally hard'. (see my answer here, and below) ...
21
votes
2answers
271 views

Real-world examples of supply chain contracts?

Does anyone know of any real-world examples in which supply chain contracts, of the type introduced by Pasternack (1985) and reviewed by Cachon (2003), are actually used in practice? I'm talking about ...
14
votes
2answers
207 views

Suggestion of some courses in sequential decision making

I am studying about sequential decision making and I am willing to know if there is any course which is recorded and is publically available covering topics in dynamic programming (DP), reinforcement ...
6
votes
3answers
646 views

Textbook recommendation for linear programming decomposition fundamentals

I am looking for a textbook on linear programming decomposition fundamentals. The book should be clear and easy-to-follow for self study and should include examples to illustrate the concepts.
5
votes
1answer
344 views

Polynomially solvable cases of zero-one programming

I am dealing with a problem having two types of variables: binary variables, and continuous variables. In some cases, the continuous variables are not used, and so the problem contains those binary ...
6
votes
1answer
81 views

Complexity \ Reference request for variant of max flow problem

In the standard max cost flow problem with arc capacities, the cost of using an arc is proportional to the flow through the arc. For example, if $f_{uv}$ is the flow through the arc $(u,v)$, then the ...
6
votes
2answers
233 views

Good sources on developing mathematical models [closed]

What are good sources (literature, internet, etc) on learning to model real-world problems using mathematical formulations? In particular, I would like to know sources which establish the relationship ...