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.