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The pickup and delivery problem: Faces and branch-and-cut algorithm
Authors:K.S. Ruland  E.Y. Rodin
Affiliation:

Systems & Electronics, Inc. 201 Evans Lane, St. Louis, MO 63121-1126, U.S.A.

Department of Systems Science and Mathematics Washington University in St. Louis One Brookings Drive, St. Louis, MO 63130, U.S.A.

Abstract:This paper formulates the pickup and delivery problem, also known as the dial-a-ride problem, as an integer program. Its polyhedral structure is explored and four classes of valid inequalities developed. The results of a branch-and-cut algorithm based on these constraints are presented.
Keywords:Integer programming   Branch-and-cut algorithm   Pickup and delivery problem
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