Geodesic
A hybrid Markov process-mathematical programming approach for joint location-inventory problem under supply disruptions
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1147-1173

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This paper introduces a joint location-inventory problem, in which facilities become temporarily unavailable. A hybrid approach based on the Markov process and mathematical programming techniques is presented to design the distribution network of a supply chain in an integrated manner. In the first phase, the Markov process derives some performance features of inventory policy. In the second phase, using outputs of the Markov process, the location-inventory problem is formulated as a mixed-integer nonlinear programming model. Moreover, a robust possibilistic programming approach is utilized, which is able to provide a more stable supply chain structure under almost all possible values of imprecise parameters. Since the proposed problem is complicated to solve by means of exact methods, we develop a simulated annealing algorithm in order to find near-optimal solutions in reasonable computational times. The obtained computational results reveal the efficiency and effectiveness of the proposed solution approach. Finally, some insights are provided and the performance of the proposed robust optimization approach is compared to traditional possibilistic chance constrained method.

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Accepté le :
DOI : 10.1051/ro/2018012
Classification : 90B80, 90B05, 90C40, 90C70
Keywords: Facility location, inventory control, disruption, Markov process, robust possibilistic programming

Dehghani, Ehsan 1 ; Pishvaee, Mir Saman 1 ; Jabalameli, Mohammad Saeed 1

1 
@article{RO_2018__52_4-5_1147_0,
     author = {Dehghani, Ehsan and Pishvaee, Mir Saman and Jabalameli, Mohammad Saeed},
     title = {A hybrid {Markov} process-mathematical programming approach for joint location-inventory problem under supply disruptions},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1147--1173},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {4-5},
     year = {2018},
     doi = {10.1051/ro/2018012},
     mrnumber = {3878616},
     zbl = {1411.90198},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2018012/}
}
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AU  - Dehghani, Ehsan
AU  - Pishvaee, Mir Saman
AU  - Jabalameli, Mohammad Saeed
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%A Pishvaee, Mir Saman
%A Jabalameli, Mohammad Saeed
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%F RO_2018__52_4-5_1147_0
Dehghani, Ehsan; Pishvaee, Mir Saman; Jabalameli, Mohammad Saeed. A hybrid Markov process-mathematical programming approach for joint location-inventory problem under supply disruptions. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1147-1173. doi: 10.1051/ro/2018012

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