@CONFERENCE\{IMM1997-0139, author = "A. Larsen and O. B. Madsen", title = "Solving the multiple depot vehicle scheduling problem in a major scandinavian city", year = "1997", pages = "289-306", booktitle = "Proceedings, {NOAS} '97", volume = "", series = "", editor = "Claus C. Car{\o}e and David Pisinger", publisher = "Department of Computer Science, University of Copenhagen", organization = "", address = "Universitetsparken {1,} {DK-}2100 K{\o}benhavn {\O}", url = "http://www2.compute.dtu.dk/pubdb/pubs/139-full.html", abstract = "The Vehicle Scheduling Problem (VSP) deals with the assignment of vehicles to a set of transportation jobs. This problem arises within urban mass transit companies in order to construct a set of minimum cost daily schedules for the vehicles. This paper deals with the {NP-}hard Multiple Depot Vehicle Scheduling Problem (MDVSP). The {MDVSP} is formulated as a time-space network model which is solved by Lagrangean relaxation. The Lagrangean multipliers are determined by sub-gradient optimization. The subproblems are solved by a general purpose algorithm for pure network flow problems. The model implemented is tested on two large scale real-life instances from an urban bus transit company situated in a major Scandinavian city.", isbn_issn = "{ISSN} 0107-8283" }