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Author:Bertsimas, D. J.
Ryzin, G. van
Title:A stochastic and dynamic vehicle routing problem in the Euclidean plane.
Journal:Operations Research
1991 : JUL-AUG, VOL. 39:4, p. 601-615
Index terms:TRAVELLING SALESMAN PROBLEM
Language:eng
Abstract:Motivated by application in which the objective is to minimize the wait for service in a stochastic and dynamically changing environment, a generic mathematical model for dynamic, stochastic vehicle routing problem called the dynamic travelling repairman problem /DTRP/ is proposed. Demands for service arrive in time according to a Poisson process, are independent and uniformly distributed in a Euclidean service region, and require an independent and identically distributed amount of on-site service by a vehicle. The problem is to find a policy for routing the service vehicle that minimizes the average time demands spent in the system. Special features and applications of the model are described.
SCIMA record nr: 93262
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