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Retail business staff scheduling under complex labor relations

Listed author(s):
  • Haase, Knut
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    The staff scheduling problem in the retail business is considered for which a new mathematical model and new solution methods are introduced. The problem is formalized as a set covering type problem. Columns represent feasible weekly working time patterns of one sales clerk. Rows correspond to periods derived from the weekly opening time. For each period the number of required sales clerks is given. Based on the complex labor rules in Germany a graph is constructed in such a way that a path through the graph represents a weekly working time pattern. A feasible weekly working time pattern is generated by solving a restricted minimum cost path problem in the graph. Different approaches are introduced to compute lower and upper bounds. In particular, a new upper bounding method is presented in which dual variables are defined heuristically. The different approaches are compared by a numerical investigation.

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    Paper provided by Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre in its series Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel with number 511.

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    Date of creation: 1999
    Handle: RePEc:zbw:cauman:511
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    1. Fred F. Easton & Donald F. Rossin, 1991. "Sufficient Working Subsets for the Tour Scheduling Problem," Management Science, INFORMS, vol. 37(11), pages 1441-1451, November.
    2. Turgut Aykin, 1996. "Optimal Shift Scheduling with Multiple Break Windows," Management Science, INFORMS, vol. 42(4), pages 591-602, April.
    3. Dowsland, Kathryn A., 1998. "Nurse scheduling with tabu search and strategic oscillation," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 393-407, April.
    4. Ahmad I. Z. Jarrah & Jonathan F. Bard & Anura H. deSilva, 1994. "Solving Large-Scale Tour Scheduling Problems," Management Science, INFORMS, vol. 40(9), pages 1124-1144, September.
    5. Glenn W. Graves & Richard D. McBride & Ira Gershkoff & Diane Anderson & Deepa Mahidhara, 1993. "Flight Crew Scheduling," Management Science, INFORMS, vol. 39(6), pages 736-745, June.
    6. Karla L. Hoffman & Manfred Padberg, 1993. "Solving Airline Crew Scheduling Problems by Branch-and-Cut," Management Science, INFORMS, vol. 39(6), pages 657-682, June.
    7. Bechtold, Stephen E. & Brusco, Michael J., 1994. "Working set generation methods for labor tour scheduling," European Journal of Operational Research, Elsevier, vol. 74(3), pages 540-551, May.
    8. Hung, Rudy, 1994. "Single-shift off-day scheduling of a hierarchical workforce with variable demands," European Journal of Operational Research, Elsevier, vol. 78(1), pages 49-57, October.
    9. Martin Desrochers & François Soumis, 1989. "A Column Generation Approach to the Urban Transit Crew Scheduling Problem," Transportation Science, INFORMS, vol. 23(1), pages 1-13, February.
    10. Stephen E. Bechtold & Larry W. Jacobs, 1990. "Implicit Modeling of Flexible Break Assignments in Optimal Shift Scheduling," Management Science, INFORMS, vol. 36(11), pages 1339-1351, November.
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