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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 Model be it Integer Programming or Linear Programming which are being used in especially in Transportation domain or Resource Planning. The idea is to look at large number of Math Models so that I could be able to formulate the optimization model on my own. Currently I am not very good at writing the problem into a math model be it the objective function or the constraints.

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Not solely dedicated to transportation, but Model Building in Mathematical Programming by Williams is a very good start for every beginner in modeling as it contains the theories on mathemtical programming modeling as well as numerous examples. AFAIK, this is one of the best books on modeling as it does not concern itself with solution methodologies and the (rigorous) maths behind them.

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    $\begingroup$ Williams is good, but especially his (limited) part on implementation is fairly dated IMO. $\endgroup$ – Richard Jun 5 at 14:17
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Surprised that no one has yet mentioned "Applications of optimization with Xpress-mp".

Of course it is focused on their Mosel language, but it contains many good applications.

Also, a free PDF is available.

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Joe Geunes's book Operations Planning does a nice job of teaching MIP modeling in an operations context (production, distribution, facility location, etc.).

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Since the OP asked for Transportation domain, I recommend the following:

  • Vehicle Routing: Problems, Methods, and Applications by Toth & Vigo: here
  • In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation by William Cook here
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Just to add a different flavor, there's a very good case study section in "The Theory and Practice of Revenue Management" by Talluri and Van Ryzin. Among other things, you will find some interesting optimization models.

The other obvious choice, is not a book, but rather a journal. INFORMS Journal on Applied Analytics (formerly known as Interfaces) is a cornucopia of applied optimization models that have been successfully deployed across industries. Highly recommended, if you're not aware of it already. Basically every article is a successful case study.

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The AIMMS Optimization Modeling book is freely available and very accessible. There are lots of worked examples going from problem description to example data and model formulation.

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We wrote a book on Supply Chain Network Design. It is meant to be a practical guide to that problem. It starts with a simple network design formulation and then adds more to it throughout the book. It both presents the mathematical formulation as well as a description of the problem, assumptions baked in, and reasons for those assumptions.

We also recently released the models from the book in Python. Here is a short blog explaining that. You might find that useful for working through the problems.

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Also in the Transportation domain, a good case-by-case analysis book is Operational Research in Industry by Tito Ciriani. It covers problems from airline-fleet scheduling to designs for flexible transit.

In the Resource Planning domain, Equitable Resource Allocation: Models, Algorithms and Applications by Hanan Luss provides many examples of resource allocation using mathematical modelling.

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This may be out of print but shouldn't be too hard to find. One of the best in my opinion on the Practical Aspects... Patrick Rivett's 'The Craft of Decision Modelling'

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  • $\begingroup$ Judging from this review this book seems to be a lot of fun. $\endgroup$ – Marcus Ritt Jun 11 at 10:30
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This is not really to learn how to model, but could be inspirational: I recently discovered this podcast from INFORMS, that I found very interesting as it is showcasing examples of OR in practice and the people behind them. You can find it on Spotify as well (https://pubsonline.informs.org/magazine/orms-today/podcasts). They also have videos from the Edelman competition that show applications of OR in practice.

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Production Planning by Mixed Integer Programming by Yves Pochet and Laurence A. Wolsey might fit the bill. Panos Padalos says on MathSciNet: "... Practitioners who are interested in using MIP solvers to solve different production planning problems, can use the book to identify the most efficient way to formulate the problems and to choose the most efficient solution method.... Since the book summarizes the state of the art in the area of formulations and solution methods of production planning problems, it also can serve as a good reference for students and researchers."

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Introduction to Operations Research is also a great book for concrete and complete examples of applications https://www.mheducation.com/highered/product/online-access-introduction-operations-research-hillier-lieberman/9781259545962.html

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