STOCHASTIC APPROACH TO VEHICLE ROUTING PROBLEM: DEVELOPMENT AND THEORIES

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ZARE MEHRJERDI YAHIA

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING & PRODUCTION RESEARCH Year:2013 | Volume:24 | Issue:4 Page(s): 285-295

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Information Journal Paper

Title

STOCHASTIC APPROACH TO VEHICLE ROUTING PROBLEM: DEVELOPMENT AND THEORIES

Author(s)

ZARE MEHRJERDI YAHIA | Issue Writer Certificate

Keywords

VEHICLE ROUTING PROBLEM

CHANCE CONSTRAINED PROGRAMMING

LINEAR APPROXIMATION

OPTIMIZATION

Abstract

This article proposes a stochastic vehicle routing problem within the frame-wok of chance constrained programming where one or more parameters are presumed to be random variables with known distribution function. The reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. Knowing that reliable computer software for large scaled complex nonlinear programming problem with 0-1 type decision variables for stochastic vehicle routing problem is not easily available merely then the value of an approximation technique becomes imperative. In this article, theorems which build a foundation for moving toward the development of an approximate methodology for solving the stochastic vehicle routing problem are stated and proved. Using these theorems one can easily convert a nonlinear type vehicle routing problem of special type into an equivalently designed linear problem that can be solved fast and easy.

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APA: Copy

ZARE MEHRJERDI, YAHIA. (2013). STOCHASTIC APPROACH TO VEHICLE ROUTING PROBLEM: DEVELOPMENT AND THEORIES. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION RESEARCH (IJIE) (ENGLISH), 24(4), 285-295. SID. https://sid.ir/paper/637684/en

Vancouver: Copy

ZARE MEHRJERDI YAHIA. STOCHASTIC APPROACH TO VEHICLE ROUTING PROBLEM: DEVELOPMENT AND THEORIES. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION RESEARCH (IJIE) (ENGLISH)[Internet]. 2013;24(4):285-295. Available from: https://sid.ir/paper/637684/en

IEEE: Copy

YAHIA ZARE MEHRJERDI, “STOCHASTIC APPROACH TO VEHICLE ROUTING PROBLEM: DEVELOPMENT AND THEORIES,” INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION RESEARCH (IJIE) (ENGLISH), vol. 24, no. 4, pp. 285–295, 2013, [Online]. Available: https://sid.ir/paper/637684/en

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