A Stochastic Bi-Objective Mathematical Model for Optimizing a Production and Distribution System with Stochastic Demand and Stochastic Lead Time

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Khalifehzadeh Sasan; FAKHRZAD MOHAMMAD BAGHER

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Journal: International Journal of Industrial Engineering & Production Research Year:2018 | Volume:29 | Issue:3 Page(s): 377-399

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Title

A Stochastic Bi-Objective Mathematical Model for Optimizing a Production and Distribution System with Stochastic Demand and Stochastic Lead Time

Author(s)

Khalifehzadeh Sasan | FAKHRZAD MOHAMMAD BAGHER | Issue Writer Certificate

Keywords

Supply chain management

Bi Objective mathematical model

Selective Firefly algorithm (SFA)

Probabilistic demand

Probabilistic delivery lead time

Abstract

In the current study, a production and distribution network (PDN) is formulated to deliver the products to both inland and outland customers in the least amount of time and optimize the total profit of the network, simultaneously. The proposed network is a multistage PDN with multi suppliers, multi producers, multi entrepots, multi retailers, and multi inland and outland customers with multitime period horizon with allowable shortage. A mixed integerprogramming model is designed to minimize total cost of the system and minimize total delivery lead time. We applied a novel heuristic method called selective firefly algorithm (SFA) in order to solve several sized, especially real-world, instances. Finally, the performance of the proposed algorithm is examined by solving several sized instances. The results indicated that the proposed algorithm is of higher performance.

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APA: Copy

Khalifehzadeh, Sasan, & FAKHRZAD, MOHAMMAD BAGHER. (2018). A Stochastic Bi-Objective Mathematical Model for Optimizing a Production and Distribution System with Stochastic Demand and Stochastic Lead Time. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION RESEARCH (IJIE) (ENGLISH), 29(3), 377-399. SID. https://sid.ir/paper/737825/en

Vancouver: Copy

Khalifehzadeh Sasan, FAKHRZAD MOHAMMAD BAGHER. A Stochastic Bi-Objective Mathematical Model for Optimizing a Production and Distribution System with Stochastic Demand and Stochastic Lead Time. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION RESEARCH (IJIE) (ENGLISH)[Internet]. 2018;29(3):377-399. Available from: https://sid.ir/paper/737825/en

IEEE: Copy

Sasan Khalifehzadeh, and MOHAMMAD BAGHER FAKHRZAD, “A Stochastic Bi-Objective Mathematical Model for Optimizing a Production and Distribution System with Stochastic Demand and Stochastic Lead Time,” INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION RESEARCH (IJIE) (ENGLISH), vol. 29, no. 3, pp. 377–399, 2018, [Online]. Available: https://sid.ir/paper/737825/en

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