A branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints
AbstractIn this paper we present a branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints. The synchronization constraints are used to model situations when two or more customers need simultaneous service. The synchronization constraints impose a temporal dependency between vehicles, and it follows that a classical decomposition of the vehicle routing and scheduling problem is not directly applicable. With our algorithm, we have solved 44 problems to optimality from the 60 problems used for numerical experiments. The algorithm performs time window branching, and the number of subproblem calls is kept low by adjustment of the columns service times.
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Bibliographic InfoPaper provided by Department of Business and Management Science, Norwegian School of Economics in its series Discussion Papers with number 2007/7.
Length: 21 pages
Date of creation: 13 Feb 2007
Date of revision:
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Postal: NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway
Phone: +47 55 95 92 93
Fax: +47 55 95 96 50
Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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Routing; Scheduling; Synchronization; Branch and Price;
Find related papers by JEL classification:
- L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General
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- Freling, R. & Huisman, D. & Wagelmans, A.P.M., 2000. "Models and algorithms for Integration of Vehicle and Crew Scheduling," Research Paper ERS-2000-14-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
- Bredström, David & Rönnqvist, Mikael, 2006. "Combined vehicle routing and scheduling with temporal precedence and synchronization constraints," Discussion Papers 2006/18, Department of Business and Management Science, Norwegian School of Economics.
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