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Scenario-Based Location Arc Routing Problems: Introducing Mathematical Models

  • Alireza Amini
  • Reza Tavakkoli-MoghaddamEmail author
  • Sadoullah Ebrahimnejad
Conference paper
Part of the Lecture Notes on Multidisciplinary Industrial Engineering book series (LNMUINEN)

Abstract

A location arc routing problem (LARP) is an important issue that finds the best locations of depots and routing simultaneously. It deals with a routing problem, in which demands are on arcs instead of nodes. Additionally, parameters may not be deterministic in real problems. Thus, this paper addresses an uncertain LARP through developing a deterministic mathematical model regarding to the respective literature and employing two scenario-based approaches. The objectives of the model are to minimize the maximum regret and minimize the mean and deviation of the objective function value (OFV). A numerical example is generated and the results analyze the performance of scenario-based models.

Keywords

Location arc routing Mathematical model Scenario-based Regret 

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Alireza Amini
    • 1
  • Reza Tavakkoli-Moghaddam
    • 2
    Email author
  • Sadoullah Ebrahimnejad
    • 3
  1. 1.School of Industrial Engineering, South Tehran BranchIslamic Azad UniversityTehranIran
  2. 2.School of Industrial Engineering, College of EngineeringUniversity of TehranTehranIran
  3. 3.Department of Industrial Engineering, Karaj BranchIslamic Azad UniversityKarajIran

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