A Recourse Stochastic Goal Programming Approach for the Multi-objective Stochastic Vehicle Routing Problem

A Recourse Stochastic Goal Programming Approach for the Multi-objective Stochastic Vehicle Routing Problem

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Article ID: iaor20161043
Volume: 23
Issue: 1-2
Start Page Number: 3
End Page Number: 14
Publication Date: Jan 2016
Journal: Journal of Multi-Criteria Decision Analysis
Authors: , ,
Keywords: stochastic processes, programming: multiple criteria, demand, programming: goal
Abstract:

This paper addresses a multi‐objective stochastic vehicle routing problem where several conflicting objectives such as the travel time, the number of vehicles in use and the probability of an accident are simultaneously minimized. We suppose that demands and travel durations are of a stochastic nature. In order to build a certainty equivalent program to the multi‐objective stochastic vehicle routing problem, we propose a solution strategy based on a recourse approach, a chance‐constrained approach and a goal‐programming approach. The resulting certainty equivalent program is solved to optimality using CPLEX.

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