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...
Main Authors: | , , |
---|---|
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 |
_version_ | 1818882504973615104 |
---|---|
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. |
first_indexed | 2024-12-19T15:18:49Z |
format | Article |
id | doaj.art-8f39a2a86c7440acb5433a34e9718c25 |
institution | Directory Open Access Journal |
issn | 1923-2926 1923-2934 |
language | English |
last_indexed | 2024-12-19T15:18:49Z |
publishDate | 2015-04-01 |
publisher | Growing Science |
record_format | Article |
series | International Journal of Industrial Engineering Computations |
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 |
work_keys_str_mv | AT sarowsaeedi adenovoprogrammingapproachforarobustclosedloopsupplychainnetworkdesignunderuncertaintyanmm1queueingmodel AT mohammadmohammadi adenovoprogrammingapproachforarobustclosedloopsupplychainnetworkdesignunderuncertaintyanmm1queueingmodel AT satorabi adenovoprogrammingapproachforarobustclosedloopsupplychainnetworkdesignunderuncertaintyanmm1queueingmodel AT sarowsaeedi denovoprogrammingapproachforarobustclosedloopsupplychainnetworkdesignunderuncertaintyanmm1queueingmodel AT mohammadmohammadi denovoprogrammingapproachforarobustclosedloopsupplychainnetworkdesignunderuncertaintyanmm1queueingmodel AT satorabi denovoprogrammingapproachforarobustclosedloopsupplychainnetworkdesignunderuncertaintyanmm1queueingmodel |