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Waste Processing Facility Location Problem by Stochastic Programming: Models and Solutions

  • Pavel PopelaEmail author
  • Dušan Hrabec
  • Jakub Kůdela
  • Radovan Šomplák
  • Martin Pavlas
  • Jan Roupec
  • Jan Novotný
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 837)

Abstract

The paper deals with the so-called waste processing facility location problem (FLP), which asks for establishing a set of operational waste processing units, optimal against the total expected cost. We minimize the waste management (WM) expenditure of the waste producers, which is derived from the related waste processing, transportation, and investment costs. We use a stochastic programming approach in recognition of the inherent uncertainties in this area. Two relevant models are presented and discussed in the paper. Initially, we extend the common transportation network flow model with on-and-off waste-processing capacities in selected nodes, representing the facility location. Subsequently, we model the randomly-varying production of waste by a scenario-based two-stage stochastic integer linear program. Finally, we employ selected pricing ideas from revenue management to model the behavior of the waste producers, who we assume to be environmentally friendly. The modeling ideas are illustrated on an example of limited size solved in GAMS. Computations on larger instances were realized with traditional and heuristic algorithms, implemented within MATLAB.

Keywords

Waste processing Facility location problem Stochastic programming Two decision stages Uncertainty modeling Scenarios Mathematical programming algorithms Heuristics Genetic algorithms GAMS MATLAB Pricing related ideas 

Notes

Acknowledgments

This work was supported by the Programme EEA and Norway Grants for funding via grant on Institutional cooperation project nr. NF-CZ07-ICP-4-345-2016 and by the specific research project “Modern Methods of Applied Mathematics for the Use in Technical Sciences”, no. FSI-S-14-2290, id. code 25053. The authors gratefully acknowledge further support from the NETME CENTRE PLUS under the National Sustainability Programme I (Project LO1202) and support provided by Technology Agency of the Czech Republic within the research project No. TE02000236 “Waste-to-Energy (WtE) Competence Centre.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Pavel Popela
    • 1
    Email author
  • Dušan Hrabec
    • 2
  • Jakub Kůdela
    • 1
  • Radovan Šomplák
    • 1
  • Martin Pavlas
    • 1
  • Jan Roupec
    • 1
  • Jan Novotný
    • 1
  1. 1.Faculty of Mechanical EngineeringBrno University of TechnologyBrnoCzech Republic
  2. 2.Faculty of Applied InformaticsTomas Bata UniversityZlínCzech Republic

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