A Sustainable Bi-objective Approach for the Minimum Latency Problem

  • Nancy A. Arellano-ArriagaEmail author
  • Ada M. Álvarez-Socarrás
  • Iris A. Martínez-Salazar
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10268)


Nowadays, sustainability is a major factor to consider in the decision-making process. Specifically, for companies trying to stay competitive and having some advantage in the market it is a vital issue. In this study, we introduce a multi objective problem which aims to minimize distance and latency of a route with enough capacity to serve a set of clients. We assume that a vehicle leaves an established depot, visits all clients and returns to the depot before the end of the workday. With this bi-objective problem, we aim to improve the sustainability of the company by improving their economic and environmental contribution, through the minimization of the traveled distance of the vehicle along with the improvement of their social service by the minimization of the total waiting time of the customers. We call this problem Minimum Latency-Distance Problem (mldp) and in this paper, we introduce a mathematical formulation which describes it.


Combinatorial optimization Mathematical formulation Multiple objective programming Multi objective optimization Multi objective problem Latency Distance Multi objective routing problem 



The first author would like to thank CONACYT, the Mexican National Council for Science and Technology, which supports her studies. This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Nancy A. Arellano-Arriaga
    • 1
    • 2
    Email author
  • Ada M. Álvarez-Socarrás
    • 1
  • Iris A. Martínez-Salazar
    • 1
  1. 1.Facultad de Ingeniería Mecánica y EléctricaUniversidad Autónoma de Nuevo LeónSan Nicolás de los GarzaMexico
  2. 2.Departamento de Economía Aplicada (Matemáticas)Universidad de MálagaMálagaSpain

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