A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing model

This paper considers the capacity determination in a closed-loop supply chain network when a queueing system is established in the reverse flow. Since the queueing system imposes costs on the model, the decision maker faces the challenge of determining the capacity of facilities in such a way that a...

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Main Authors: Sarow Saeedi, Mohammad Mohammadi, S.A. Torabi
Format: Article
Language:English
Published: Growing Science 2015-04-01
Series:International Journal of Industrial Engineering Computations
Subjects:
Online Access:http://www.growingscience.com/ijiec/Vol6/IJIEC_2014_40.pdf
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author Sarow Saeedi
Mohammad Mohammadi
S.A. Torabi
author_facet Sarow Saeedi
Mohammad Mohammadi
S.A. Torabi
author_sort Sarow Saeedi
collection DOAJ
description This paper considers the capacity determination in a closed-loop supply chain network when a queueing system is established in the reverse flow. Since the queueing system imposes costs on the model, the decision maker faces the challenge of determining the capacity of facilities in such a way that a compromise between the queueing costs and the fixed costs of opening new facilities could be obtained. We develop a De Novo programming approach to determine the capacity of recovery facilities in the reverse flow. To this aim, a mixed integer nonlinear programming (MINLP) model is integrated with the De Novo programming and the robust counterpart of this model is proposed to cope with the uncertainty of the parameters. To solve the model, an interactive fuzzy programming approach is combined with the hard worst case robust programming. Numerical results show the performance of the developed model in determining the capacity of facilities.
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spelling doaj.art-8f39a2a86c7440acb5433a34e9718c252022-12-21T20:16:04ZengGrowing ScienceInternational Journal of Industrial Engineering Computations1923-29261923-29342015-04-016221122810.5267/j.ijiec.2014.11.002A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing modelSarow SaeediMohammad MohammadiS.A. Torabi This paper considers the capacity determination in a closed-loop supply chain network when a queueing system is established in the reverse flow. Since the queueing system imposes costs on the model, the decision maker faces the challenge of determining the capacity of facilities in such a way that a compromise between the queueing costs and the fixed costs of opening new facilities could be obtained. We develop a De Novo programming approach to determine the capacity of recovery facilities in the reverse flow. To this aim, a mixed integer nonlinear programming (MINLP) model is integrated with the De Novo programming and the robust counterpart of this model is proposed to cope with the uncertainty of the parameters. To solve the model, an interactive fuzzy programming approach is combined with the hard worst case robust programming. Numerical results show the performance of the developed model in determining the capacity of facilities.http://www.growingscience.com/ijiec/Vol6/IJIEC_2014_40.pdfClosed-loop supply chain (CLSC)De Novo programmingQueueing systemRobust programmingTH method
spellingShingle Sarow Saeedi
Mohammad Mohammadi
S.A. Torabi
A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing model
International Journal of Industrial Engineering Computations
Closed-loop supply chain (CLSC)
De Novo programming
Queueing system
Robust programming
TH method
title A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing model
title_full A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing model
title_fullStr A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing model
title_full_unstemmed A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing model
title_short A De Novo programming approach for a robust closed-loop supply chain network design under uncertainty: An M/M/1 queueing model
title_sort de novo programming approach for a robust closed loop supply chain network design under uncertainty an m m 1 queueing model
topic Closed-loop supply chain (CLSC)
De Novo programming
Queueing system
Robust programming
TH method
url http://www.growingscience.com/ijiec/Vol6/IJIEC_2014_40.pdf
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