Author(s):
Mohammad Hessam Olya¹, Babak Shirazi¹, Hamed Fazlollahtabar²

Author Affiliation:
¹Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran
²Faculty of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

We adapt a dynamic program to find the shortest path in a network having 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 two normal probability distributions being employed in the dynamic program. Generally, stochastic shortest path problems are treated using expected values of the arc probabilities, but in the proposed method using distributed observed past data as arc lengths, an integrated value is obtained as the shortest path length.

KEYWORDS:
Shortest path, Dynamic program, Convolution, Normal distribution