Titlebook: Open Problems in Optimization and Data Analysis; Panos M. Pardalos,Athanasios Migdalas Book 2018 Springer Nature Switzerland AG 2018 Optim

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Variants and Formulations of the Vehicle Routing Problem,, and, in general, of operational research. The interest in this problem has been recently increased both from theoretical and practical aspects. In this chapter, a number of the most important variants of the vehicle routing problem are presented. In some of them, the basic formulation of the probl

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Review of Basic Local Searches for Solving the Minimum Sum-of-Squares Clustering Problem,-squares clustering problem. We then develop two new local searches that combine these heuristics in a nested and sequential structure, also referred to as variable neighborhood descent. In order to show how these local searches can be implemented within a metaheuristic framework, we apply the new h

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On the Design of Metaheuristics-Based Algorithm Portfolios,ific metaheuristic algorithm for solving a given problem constitutes an impactful decision. This can be attributed to possible performance fluctuations of the metaheuristic during its application either on a single problem or on different instances of a specific problem type. Algorithm portfolios of

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Integral Simplex Methods for the Set Partitioning Problem: Globalisation and Anti-Cycling,text of column generation, and its importance has grown due to the strong developments in this field. The set partitioning problem has the quasi-integrality property, which means that every edge of the convex hull of the integer feasible solutions is also an edge of the polytope of the linear progra

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New Statistical Robust Estimators, Open Problems, deal with heavy contamination in the data set. We give an overview of recent popular robust methods and present our new approach using operational research techniques, like mathematical programming. We present some open problems of the new robust procedures for improving robustness and efficiency of the proposed estimators.

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Variants and Formulations of the Vehicle Routing Problem,, and, in general, of operational research. The interest in this problem has been recently increased both from theoretical and practical aspects. In this chapter, a number of the most important variants of the vehicle routing problem are presented. In some of them, the basic formulation of the problem is, also, given.