TOP

, Volume 22, Issue 3, pp 1123–1147 | Cite as

A two-stage stochastic transportation problem with fixed handling costs and a priori selection of the distribution channels

  • Yolanda Hinojosa
  • Justo Puerto
  • Francisco Saldanha-da-Gama
Original Paper

Abstract

In this paper, a transportation problem comprising stochastic demands, fixed handling costs at the origins, and fixed costs associated with the links is addressed. It is assumed that uncertainty is adequately captured via a finite set of scenarios. The problem is formulated as a two-stage stochastic program. The goal is to minimize the total cost associated with the selected links plus the expected transportation and fixed handling costs. A prototype problem is initially presented which is then progressively extended to accommodate capacities at the origins and multiple commodities. The results of an extensive set of computational tests are reported and discussed.

Keywords

Transportation Stochastic demands Fixed handling costs  Two-stage stochastic programming 

Mathematics Subject Classification (2010)

90B06 90B15 90C15 

Notes

Acknowledgments

This research has been partially supported by projects FQM-5849 (Junta de Andalucía\(\backslash \)FEDER) and MTM2010-19576-C02-01 (MICINN, Spain) and by the Portuguese Science Foundation—Centro de Investigação Operacional. The authors would like to express their gratitude to the anonymous referees for the constructive comments and suggestions given, which helped to improve the paper.

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Copyright information

© Sociedad de Estadística e Investigación Operativa 2014

Authors and Affiliations

  • Yolanda Hinojosa
    • 1
  • Justo Puerto
    • 2
  • Francisco Saldanha-da-Gama
    • 3
  1. 1.Departamento de Economía Aplicada IUniversidad de SevillaSevillaSpain
  2. 2.Departamento Estadística e Investigación Operativa, Facultad de MatemáticasUniversidad de SevillaSevillaSpain
  3. 3.DEIO-CIO, Faculdade de CiênciasUniversidade de LisboaLisboaPortugal

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