Data Correcting Approach for the Simple Plant Location Problem

  • Boris Goldengorin
  • Panos M. Pardalos
Chapter
Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Abstract

In this chapter we improve the DC algorithm for general supermodular functions by using a pseudo-Boolean representation of the simple plant location problem (SPLP) presented in the previous chapters. It is common knowledge that exact algorithms for \(\mathcal{N}\mathcal{P}\)-hard problems in general, and for the SPLP in particular, spend only about 10 % of the execution time to find an optimal solution. The remaining time is spent proving the optimality of the solution. In this chapter, our aim is to reduce the amount of time spent proving the optimality of the solution obtained. We propose a data correcting algorithm for the SPLP that is designed to output solutions with a prespecified acceptable accuracy ε (see [53]).

Keywords

Transportation 

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Copyright information

© Boris Goldengorin, Panos M. Pardalos 2012

Authors and Affiliations

  • Boris Goldengorin
    • 1
    • 2
  • Panos M. Pardalos
    • 3
    • 4
  1. 1.Laboratory of Algorithms and Technologies for Networks Analysis (LATNA) and Department of Higher MathematicsNational Research University Higher School of EconomicsMoscowRussia
  2. 2.Operations DepartmentUniversity of GroningenGroningenThe Netherlands
  3. 3.Center for Applied Optimization Department of Industrial and Systems EngineeringUniversity of FloridaGainesvilleUSA
  4. 4.Laboratory of Algorithms and Technologies for Networks Analysis (LATNA)National Research University Higher School of EconomicsMoscowRussia

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