IDEAS home Printed from
   My bibliography  Save this paper

Retail business staff scheduling under complex labor relations


  • Haase, Knut


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.

Suggested Citation

  • Haase, Knut, 1999. "Retail business staff scheduling under complex labor relations," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 511, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  • Handle: RePEc:zbw:cauman:511

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. 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.
    2. 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.
    3. 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.
    4. Turgut Aykin, 1996. "Optimal Shift Scheduling with Multiple Break Windows," Management Science, INFORMS, vol. 42(4), pages 591-602, April.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    Full references (including those not matched with items on IDEAS)


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:cauman:511. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ZBW - German National Library of Economics). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.