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Finding Shortest Path in a Combined Exponential -Gamma-Normal Probability Distribution Arc Length

Mohammad Hessam Olya(ha_jojo***at***yahoo.com)
Hamed Fazlollahtabar(hfazl***at***iust.ac.ir)

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.

Keywords: Shortest path; Dynamic program; Convolution

Category 1: Applications -- OR and Management Sciences


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Entry Submitted: 11/04/2014
Entry Accepted: 11/04/2014
Entry Last Modified: 11/04/2014

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