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The venue management problem: setting staffing levels, shifts and shift schedules at concession stands

Author

Listed:
  • Oyku Ahipasaoglu

    (The Boston Consulting Group)

  • Nesim Erkip

    (Bilkent University)

  • Oya Ekin Karasan

    (Bilkent University)

Abstract

The aim of this research is to determine staffing requirements as well as shift scheduling, with the objective of maximizing the expected contribution from the venue. We specifically consider theaters where demand at concession stands is non-stationary, being largely dominated by the showtimes, the days of the week and the movie types. Determination of the number of workers and their shift in such facilities can be considered as a venue management problem. As one of the distinctive characteristics of our study, we maximize the expected contribution of venue operations while combining shift scheduling in a mathematical model. In addition to the objective function, shift scheduling differs from that in the standard literature, as shift beginning and end times are not restricted. Because of the highly variable demand in the venue management problem considered, flexible shifts are used, with flexible beginning and end times, as long as workers meet the specifications of the type to which they belong. We prove that the venue management problem under consideration is NP-complete. Under mild conditions, we show that the binary requirements of some of the variables in the model can be relaxed. Computational results of a case study are provided.

Suggested Citation

  • Oyku Ahipasaoglu & Nesim Erkip & Oya Ekin Karasan, 2019. "The venue management problem: setting staffing levels, shifts and shift schedules at concession stands," Journal of Scheduling, Springer, vol. 22(1), pages 69-83, February.
  • Handle: RePEc:spr:jsched:v:22:y:2019:i:1:d:10.1007_s10951-018-0577-x
    DOI: 10.1007/s10951-018-0577-x
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    References listed on IDEAS

    as
    1. Hesham Alfares, 2004. "Survey, Categorization, and Comparison of Recent Tour Scheduling Literature," Annals of Operations Research, Springer, vol. 127(1), pages 145-175, March.
    2. A.T. Ernst & H. Jiang & M. Krishnamoorthy & B. Owens & D. Sier, 2004. "An Annotated Bibliography of Personnel Scheduling and Rostering," Annals of Operations Research, Springer, vol. 127(1), pages 21-144, March.
    3. Tolga Çezik & Oktay Günlük & Hanan Luss, 2001. "An integer programming model for the weekly tour scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(7), pages 607-624, October.
    4. Vidya Mani & Saravanan Kesavan & Jayashankar M. Swaminathan, 2015. "Estimating the Impact of Understaffing on Sales and Profitability in Retail Stores," Production and Operations Management, Production and Operations Management Society, vol. 24(2), pages 201-218, February.
    5. Helber, Stefan & Henken, Kirsten, 2007. "Profit-oriented shift scheduling of inbound contact centers with skills-based routing, impatient customers, and retrials," Hannover Economic Papers (HEP) dp-379, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    6. Sophie Veldhoven & Gerhard Post & Egbert Veen & Tim Curtois, 2016. "An assessment of a days off decomposition approach to personnel shift scheduling," Annals of Operations Research, Springer, vol. 239(1), pages 207-223, April.
    7. Z. Justin Ren & Yong-Pin Zhou, 2008. "Call Center Outsourcing: Coordinating Staffing Level and Service Quality," Management Science, INFORMS, vol. 54(2), pages 369-383, February.
    8. Yves Nobert & Jacques Roy, 1998. "Freight Handling Personnel Scheduling at Air Cargo Terminals," Transportation Science, INFORMS, vol. 32(3), pages 295-301, August.
    9. Sarin, Subhash C. & Aggarwal, Sanjay, 2001. "Modeling and algorithmic development of a staff scheduling problem," European Journal of Operational Research, Elsevier, vol. 128(3), pages 558-569, February.
    10. Giovanni Felici & Claudio Gentile, 2004. "A Polyhedral Approach for the Staff Rostering Problem," Management Science, INFORMS, vol. 50(3), pages 381-393, March.
    11. Robert R. Love & James M. Hoey, 1990. "Management Science Improves Fast-Food Operations," Interfaces, INFORMS, vol. 20(2), pages 21-29, April.
    12. Monia Rekik & Jean-François Cordeau & François Soumis, 2004. "Using Benders Decomposition to Implicitly Model Tour Scheduling," Annals of Operations Research, Springer, vol. 128(1), pages 111-133, April.
    13. Michael J. Brusco & Larry W. Jacobs & Robert J. Bongiorno & Duane V. Lyons & Baoxing Tang, 1995. "Improving Personnel Scheduling at Airline Stations," Operations Research, INFORMS, vol. 43(5), pages 741-751, October.
    14. Helman I. Stern & Marvin Hersh, 1980. "Scheduling Aircraft Cleaning Crews," Transportation Science, INFORMS, vol. 14(3), pages 277-291, August.
    15. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    16. Kabak, Ozgur & Ulengin, Fusun & Aktas, Emel & Onsel, Sule & Topcu, Y. Ilker, 2008. "Efficient shift scheduling in the retail sector through two-stage optimization," European Journal of Operational Research, Elsevier, vol. 184(1), pages 76-90, January.
    17. Gary M. Thompson, 1997. "Labor staffing and scheduling models for controlling service levels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(8), pages 719-740, December.
    18. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    19. Chapados, Nicolas & Joliveau, Marc & L’Ecuyer, Pierre & Rousseau, Louis-Martin, 2014. "Retail store scheduling for profit," European Journal of Operational Research, Elsevier, vol. 239(3), pages 609-624.
    20. Michael J. Brusco & Larry W. Jacobs, 2000. "Optimal Models for Meal-Break and Start-Time Flexibility in Continuous Tour Scheduling," Management Science, INFORMS, vol. 46(12), pages 1630-1641, December.
    21. Aykin, Turgut, 2000. "A comparative evaluation of modeling approaches to the labor shift scheduling problem," European Journal of Operational Research, Elsevier, vol. 125(2), pages 381-397, September.
    22. Sol Schindler & Ted Semmel, 1993. "Station Staffing at Pan American World Airways," Interfaces, INFORMS, vol. 23(3), pages 91-98, June.
    23. Defraeye, Mieke & Van Nieuwenhuyse, Inneke, 2016. "Staffing and scheduling under nonstationary demand for service: A literature review," Omega, Elsevier, vol. 58(C), pages 4-25.
    24. Larry W. Jacobs & Michael J. Brusco, 1996. "Overlapping Start-Time Bands in Implicit Tour Scheduling," Management Science, INFORMS, vol. 42(9), pages 1247-1259, September.
    25. Gary M. Thompson, 1995. "Improved Implicit Optimal Modeling of the Labor Shift Scheduling Problem," Management Science, INFORMS, vol. 41(4), pages 595-607, April.
    26. Andrew J. Mason & David M. Ryan & David M. Panton, 1998. "Integrated Simulation, Heuristic and Optimisation Approaches to Staff Scheduling," Operations Research, INFORMS, vol. 46(2), pages 161-175, April.
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