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By Ralf Borndörfer, Andreas Löbel, Steffen Weider (auth.), Professor Mark Hickman, Professor Pitu Mirchandani, Professor Dr. Stefan Voß (eds.)

This court cases quantity involves chosen papers offered on the 9th Int- nationwide convention on Computer-Aided Scheduling of Public delivery (CASPT 2004), which was once held on the Hilton San Diego hotel and convention heart in San Diego, California, united states, from August September 11, 2004. The CASPT 2004 convention is the continuation of a sequence of overseas workshops and meetings prese- ing contemporary study and growth in computer-aided scheduling in public shipping. earlier workshops and meetings have been held in: • Chicago (1975) • Leeds (1980) • Montreal (1983 and 1990) • Hamburg (1987) • Lisbon (1993) • Cambridge, Mass. (1997) 1 • Berlin (2000) 1 whereas there have been no formal court cases for the ?rst workshop (only pre-prints have been d- tributedtoparticipants),thesubsequentworkshopsandconferenceswerewelldocumented: Wren, A. (ed.) (1981). computing device Scheduling of Public shipping, North-Holland, - sterdam. Rousseau, J.-M. (ed.) (1985). computing device Scheduling of Public shipping 2, North- Holland, Amsterdam. Daduna, J.R. and A. Wren (eds.) (1988). Computer-Aided Transit Scheduling, Lecture Notes in Economics and Mathematical structures 308, Springer, Berlin. Desrochers, M. and J.-M. Rousseau (eds.) (1992). Computer-Aided Transit Scheduling, Lecture Notes in Economics and Mathematical platforms 386, Springer, Berlin. Daduna, J.R., I. Branco, and J.M.P. Paixao ˜ (eds.) (1995). Computer-Aided Transit Scheduling, Lectures Notes in Economics and Mathematical platforms 430, Springer, Berlin. Wilson, N.H.M. (ed.) (1999). Computer-Aided Transit Scheduling, Lecture Notes in Economics and Mathematical platforms 471, Springer, Berlin.

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P. Paix˜ao, editors, Computer-Aided Transit Scheduling, pages 188–212. Springer, Berlin. , Jachnik, J. , Lewis, R. , and Mitra, G. (1988). Integrated decision support systems for urban transport scheduling: Discussion of implementation and experience. In J. Daduna and A. Wren, editors, Computer-Aided Transit Scheduling, pages 226–239. Springer, Berlin. , and Villeneuve, D. (2001). Simultaneous multi-depot bus and driver scheduling. Technical report, TRISTAN IV preprints. Desrochers, M. and Soumis, F.

The set of tasks and corresponding pieces of work cannot be generated directly because the vehicle blocks are not present. They are generated with an alternative method, which will be described in the next subsection. After a crew schedule is found, a compatible vehicle schedule can always be created afterwards (because all decompositions of the solution flow of the MDVSPnetwork produce vehicle schedules which are equivalent with respect to fleet size and to operational vehicle costs). In fact, from the bundle of the optimal vehicle schedules, we select one that is most consistent with the objectives of crew scheduling.

1990). Die Regionalverkehr K¨oln GmbH und HASTUS (in German). ca/Deutsch/Publications/publications. htm. Helmberg, C. (2000). Semidefinite programming for combinatorial optimization. Technical report ZR00-34. Zuse Institute Berlin. Hinterm¨uller, M. (2001). A proximal bundle method based on approximate subgradients. Computational Optimization and Applications, (20), 245–266. , and Wagelmans, A. P. M. (2005). Multiple-depot integrated vehicle and crew scheduling. Transportation Science, 39, 491–502.

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