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ADVANCES IN INDUSTRIAL ENGINEERING AND MANAGEMENT
ISSN:2222-7059 (Print);EISSN: 2222-7067 (Online)
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Title : Finding Shortest Path in a Combined Exponential -Gamma-Normal Probability Distribution Arc Length
Author(s) : Mohammad Hessam Olya, Hamed Fazlollahtabar
Author affiliation : Mohammad Hessam Olya, Wayne State University, Industrial and Systems Engineering Department, Detroit, MI 48201, United States
Hamed Fazlollahtabar, Faculty of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
Corresponding author img Corresponding author at : Corresponding author img  

Abstract:
We propose a dynamic program to find the shortest path in a network having exponential, gamma and normal probability distributions as arc lengths. Two operators of sum and comparison need to be adapted for the proposed dynamic program. Convolution approach is used to sum probability distributions being employed in the dynamic program.

Key words:Stochastic shortest path; dynamic program; convolution; probabilistic network

Cite it:
Mohammad Hessam Olya, Hamed Fazlollahtabar, Finding Shortest Path in a Combined Exponential -Gamma-Normal Probability Distribution Arc Length, Advances in Industrial Engineering and Management, Vol.3, No.4, 2014, pp.35-44, doi: 10.7508/AIEM-V3-N4-35-44

Full Text : PDF(size: 533.83 kB, pp.35-44, Download times:318)

DOI : 10.7508/AIEM-V3-N4-35-44

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