Questions tagged [reference-request]

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

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11
votes
0answers
84 views

Protein folding and protein design relation

I understand from active COVID-19 question Are there any COVID-19 (coronavirus) related optimization problems with input datasets that we can "crowd solve"? that protein folding problem is ...
8
votes
1answer
249 views

if-else condition for the objective variable using big M notation

Let $0\leq \beta\leq 1$ be an objective variable. The size of $\beta$ is $N\!\times\!N$. Now, how can I impose the following? if $\beta_{i,j}>0$ then $\beta_{j,i}=0$ Big M notation can be ...
3
votes
0answers
42 views

Discrete optimization in transport economics

I was working on a problem in transport economics where the optimal number of trips in a given duration of time is to be found out. The profit is a function of the price vector $p$ and time cost $c$ ...
6
votes
4answers
123 views

Sequential quadratic programming source

What are the good text books to learn SQP? Are there any online courses that you can suggest?
11
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2answers
3k views

Is it necessary to study rigorous math courses in OR?

I am a business student with engineering background and I am studying papers published in some journals like Management Science, Operations Research, Math of OR and they use some notations and ...
5
votes
3answers
805 views

Solving continuous Minimax Optimization problem

I want to solve a linear programming minimax problem here mathematically without using software: $$\begin{align*} \text{min}\ \text{max} \quad & \{x_1,x_2,x_3\} \\ \text{s.t.} \...
8
votes
1answer
273 views

Safety stock when there is uncertainty in order completion

Safety stocks account for uncertainty both on demand and provider lead times, but never mention how to include the effect of incomplete orders. For example, what would happen if a provider always ...
7
votes
1answer
64 views

Aggregate production planning

I'm looking for an optimization model about production planning that takes the following into consideration: Single site Multi products One machine/resource Sequence-dependent Fixed batch ...
14
votes
2answers
180 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 ...
7
votes
1answer
80 views

Variant of job shop scheduling problem

I'm looking to identify a problem in the literature that I'm currently solving. I have a set of jobs each having a set of operations. Each operation has a duration. An operation may be done by a ...
14
votes
1answer
157 views

Sources to learn about Sample Average Approximation for practitioners

I want to start learning Stochastic Programming, beginning with SAA (Sample Average Approximation) and keeping a practitioner's perspective in mind, i.e. I would like my sources to collectively cover ...
11
votes
1answer
261 views

Metaheuristic to solve general MIPs

Many papers formulate their (NP-hard) problem as ILP or MILP and then show Cplex/Gurobi are unable to solve instances of a certain size. Then they introduce a meta-heuristic solution approach to solve ...
27
votes
3answers
360 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, ...
5
votes
0answers
52 views

Understanding HardRouteConstraint

I am trying to understand the route constraints in jsprit. While I got the concept of HardActivityConstraint, I am unable to have clarity on HardRouteConstraint. Can someone, preferably with a simple ...
13
votes
4answers
973 views

Implementation gap in logistics

Typically OR-projects steps are: observing a situation, modeling it, solving the model, implementing the solution, and evaluating the situation. In the area of production and logistics, the models ...
14
votes
2answers
615 views

Obtaining optimality gaps when using hybrid exact-heuristic approaches to vehicle routing problems

I'm starting to read about column generation-based approaches to vehicle routing problems (VRP). Let's say that I want to solve very large instances of an intricate VRP, I'm not looking to always ...
11
votes
1answer
336 views

Suggested Resources for Non-Linear Optimization

I recently completed an undergraduate course in Linear Programming and Operations Research. I am willing to look into advanced concepts and Non-Linear Optimization algorithms and also, their method of ...
12
votes
0answers
220 views

Categorization of optimization models

For many families of optimization problems there is some sort of classification scheme. I am thinking about the triple notation for machine scheduling introduced in "Optimization and approximation in ...
5
votes
4answers
521 views

Reference request for Evacuation Planning

I have been assigned to make a literature review on evacuation planning. Could you please suggest some papers that I can use for the review? Thank you for your help!
16
votes
4answers
3k views

What are the most-used technical skills in OR?

Apart from: modeling, "coding" the model and using an open source/commercial solver Implementing an approximation method (metaheuristics, greedy, etc.) Implementing exact methods (dynamic ...
12
votes
1answer
162 views

Looking for books in the same style as Hans Kellerer 2004, Knapsack Problems

I really enjoyed reading Hans Kellerer, David Pisinger, Ulrich Pferschy 2004 book Knapsack Problems. Can anybody recommend books in a similar style, about some other classes of problems / optimisation?...
7
votes
1answer
86 views

Count this to the family of Job Shop Problem?

I will explain the problem in a simplified version. Three Tasks: $T_1, T_2, T_3$ Four Machines: $M_1, M_2, M_3, M_4$ The machines $M_2$ and $M_3$ make the same processing, so they are parallel. ...
9
votes
3answers
442 views

Examples of problems with non-convex constraint functions but convex feasible region

I'm looking for examples of (classes of) problems with a non-convex, non-linear formulation, but convex feasible region. That is, a problem of the sort: $$ \begin{array}{lll} \text{minimize} & ...
18
votes
4answers
671 views

PhD-level textbooks on linear programming

My graduate Linear Programming class uses Bertsimas & Tsitsiklis's Introduction to Linear Optimization. Are there any alternative texts that I could use to supplement this textbook (mainly the ...
10
votes
3answers
132 views

Theoretical results on performance of branch-and-bound

Are there any theoretical results on the performance of branch-and-bound, even for a subset of instances of a particular discrete optimization problem? As an example, does there exist a result of ...
10
votes
1answer
154 views

Finding the linear functions defining a polyhedron through integer data?

Let's say I have a bunch of linear functions $f_1,\cdots,f_n$ in $k$ variables; then $f_1,\cdots, f_n\le0$ defines a polyhedron $P$ in the $k$-dimensional space. What I'm looking for is going the ...
11
votes
4answers
681 views

Citing CPLEX 12.9

Simple question, but very hard to find an answer. How can I cite version 12.9 of CPLEX? Shall I cite the very first CPLEX and indicate that I am using the version 12.9 of this, or shall I cite the ...
6
votes
3answers
97 views

Trouble with scheduling problem assumptions

Reading the famous book by Pinedo, I came across : Usually, the subscript $j$ refers to a job while the subscript $i$ refers to a machine. If a job requires a number of processing steps or ...
11
votes
2answers
150 views

Difficulties with finding equivalent problem on literature

I'm working with a sort of pickup delivery problem right now. We need to assign vehicles to routes and requests to those vehicles. Each request has its due date, client and may be delivered in one of ...
9
votes
3answers
204 views

Vehicle routing benchmark instances

I recently started working on the classical split delivery vehicle routing problem (SDVRP). I appreciate if someone could let me know where to download benchmark instances for this problem? I am also ...
10
votes
1answer
103 views

Approaches for choosing a “risk” factor in an Inventory Optimization problem?

I'm working on an Inventory Optimization (Allocation) problem. The decision variable is the amount of inventory budget to allocate for each product, from a set of products. My objective is to ...
12
votes
3answers
1k views

Number of aircraft to operate in an airline company

Suppose that an airline company has X planes, in general the companies keep a number of these aircraft (say 80% of X) in reserve in case of hazards. My question is how the airline companies compute ...
15
votes
4answers
622 views

How to progress with CPLEX/Gurobi

I've been learning and playing with CPLEX/Gurobi for a year using C++/Python API. I know some basic stuff like writing a model, callbacks, basic playing with solvers' parameters. I am wondering what ...
-4
votes
2answers
324 views

Are there NP hard problems solved in P time?

Does anyone know of a problem previously believed to be NP hard, to be solved nowadays in polynomial time optimally?
11
votes
5answers
698 views

What is the following VRP?

I am researching a Vehicle Routing Problem for a safety insurance company that provides roadside assistance. The company does not have a depot, as in classical VRP, and has a set of heterogeneous ...
5
votes
2answers
315 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 ...
5
votes
2answers
252 views

Bridge the gap between theory and practice in Integer Programming

I've finished Wolsey's book on Integer programming. It's a theoretic book. I aim to learn how the ideas presented in the book can be applied to solve real-world non-academic problems. I am looking ...
21
votes
5answers
919 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 ...
14
votes
5answers
693 views

Good textbook for queueing theory and performance modeling

Can someone recommend a good self-study textbook for queueing theory and performance modeling? My interest is in applying this to understanding the behavior of some real-world server networks, ...
12
votes
1answer
269 views

Mixed-Integer Linear Programming (Capacity Planning)

I'm currently developing a small capacity planning problem and right now I am struggling with the "activation" of a subset. Needless to say I am not an expert in this kind of things. I have a set of $...
17
votes
6answers
551 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 ...
21
votes
7answers
2k views

Applications of pure mathematics in operations research

This is a question that I've been thinking about for a while, as my background is mainly on pure mathematics. From a few OR papers that I've looked at, I could identify some areas of pure mathematics ...
14
votes
3answers
2k views

A variant of the Multiple Traveling Salesman Problem

I am trying to find a reference (or a reformulation) of a variant of the multiple Traveling Salesman Problem, where multiple agents need to visit each vertex in a graph with minimal cost. Most of the ...
23
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}\\ ...
15
votes
2answers
312 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 ...
7
votes
1answer
81 views

References for “metric” network flow problems

Network flow problems are very well studied in the literature (e.g., see the Network Flows book), and the first DIMACS challenge was dedicated to these problems. Very efficient implementation of ...
9
votes
0answers
76 views

Examples for a kind of “set family hitting” problem

Given a ground set, say $[n]=\{1,2,\dots,n\}$, and a collection of subset families $\mathcal F_i\subseteq 2^{[n]}$, $i=1,2,\dots,m$, I want to select $m$ sets $B_i\in\mathcal F_i$ such that the ...
6
votes
2answers
188 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 ...
10
votes
3answers
209 views

Does the “prize-collecting shortest path problem” exist?

The prize collecting shortest path problem (PCSPP) is a special case of the prize collecting Steiner tree problem (PCSTP) (PCSPP is the PCSTP with only two terminal vertices, namely the source and ...
13
votes
2answers
138 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 ...