Qualitative Comparison of Models

S. A. MirHassani and F. Hooshmand
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S. A. MirHassani: Amirkabir University of Technology (Tehran Polytechnic), Department of Mathematics and Computer Science
F. Hooshmand: Amirkabir University of Technology (Tehran Polytechnic), Department of Mathematics and Computer Science

Chapter Chapter 5 in Methods and Models in Mathematical Programming, 2019, pp 205-268 from Springer

Abstract: Abstract For most of the programming problems, there may exist several mathematical models which vary in the number of variables and constraints, but they still show a formulation of a specific problem. For example, in Öncan et al. (2009), more than 10 different formulations are presented for the traveling salesman problem (TSP). Different models of a given problem are expected to be different in the formulation, but they agree with the optimal solution. The main question, arising here, is that which model is better when more than one model exists for a given problem? The response to this question is strongly related to the solution method used to solve the problem and determining the optimal solution. In other words, the better the formulation, the faster the way to get the optimal solution. This chapter addresses the qualitative coparison of models, discusses the impact of the number of variables and constraints on the quality of models and introduces the ideal formulation. Then, some techniques of improving formulations are discussed.

Date: 2019
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DOI: 10.1007/978-3-030-27045-2_5

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