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A two-stage stochastic program for multi-shift, multi-analyst, workforce optimization with multiple on-call options

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  • Douglas S. Altner

    (The MITRE Corporation)

  • Anthony C. Rojas

    (The MITRE Corporation)

  • Leslie D. Servi

    (The MITRE Corporation)

Abstract

Motivated by a cybersecurity workforce optimization problem, this paper investigates optimizing staffing and shift scheduling decisions given unknown demand and multiple on-call staffing options at a 24/7 firm with three shifts per day, three analyst types, and several staffing and scheduling constraints. We model this problem as a two-stage stochastic program and solve it with a column-generation-based heuristic. Our computational study shows this method only needs 3 min to produce solutions within 6% of a true lower bound of the optimal for 99% of over 150 test cases.

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  • Douglas S. Altner & Anthony C. Rojas & Leslie D. Servi, 2018. "A two-stage stochastic program for multi-shift, multi-analyst, workforce optimization with multiple on-call options," Journal of Scheduling, Springer, vol. 21(5), pages 517-531, October.
    • Handle: RePEc:spr:jsched:v:21:y:2018:i:5:d:10.1007_s10951-017-0554-9
    DOI: 10.1007/s10951-017-0554-9
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    References listed on IDEAS

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    1. Chu, Hai D. & Gelman, Eric & Johnson, Ellis L., 1997. "Solving large scale crew scheduling problems," European Journal of Operational Research, Elsevier, vol. 97(2), pages 260-268, March.
    2. Turgut Aykin, 1996. "Optimal Shift Scheduling with Multiple Break Windows," Management Science, INFORMS, vol. 42(4), pages 591-602, April.
    3. 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.
    4. Jonathan Bard & David Morton & Yong Wang, 2007. "Workforce planning at USPS mail processing and distribution centers using stochastic optimization," Annals of Operations Research, Springer, vol. 155(1), pages 51-78, November.
    5. Anuj Mehrotra & Kenneth E. Murphy & Michael A. Trick, 2000. "Optimal shift scheduling: A branch‐and‐price approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(3), pages 185-200, April.
    6. Parisio, Alessandra & Neil Jones, Colin, 2015. "A two-stage stochastic programming approach to employee scheduling in retail outlets with uncertain demand," Omega, Elsevier, vol. 53(C), pages 97-103.
    7. Marie-Claude Côté & Bernard Gendron & Louis-Martin Rousseau, 2011. "Grammar-Based Integer Programming Models for Multiactivity Shift Scheduling," Management Science, INFORMS, vol. 57(1), pages 151-163, January.
    8. Jeff Linderoth & Alexander Shapiro & Stephen Wright, 2006. "The empirical behavior of sampling methods for stochastic programming," Annals of Operations Research, Springer, vol. 142(1), pages 215-241, February.
    9. Edward P. C. Kao & Maurice Queyranne, 1985. "Budgeting Costs of Nursing in a Hospital," Management Science, INFORMS, vol. 31(5), pages 608-621, May.
    10. Balaji Gopalakrishnan & Ellis. Johnson, 2005. "Airline Crew Scheduling: State-of-the-Art," Annals of Operations Research, Springer, vol. 140(1), pages 305-337, November.
    11. 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.
    12. 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.
    13. Robbins, Thomas R. & Harrison, Terry P., 2010. "A stochastic programming model for scheduling call centers with global Service Level Agreements," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1608-1619, December.
    14. Itai Gurvich & James Luedtke & Tolga Tezcan, 2010. "Staffing Call Centers with Uncertain Demand Forecasts: A Chance-Constrained Optimization Approach," Management Science, INFORMS, vol. 56(7), pages 1093-1115, July.
    15. Kibaek Kim & Sanjay Mehrotra, 2015. "A Two-Stage Stochastic Integer Programming Approach to Integrated Staffing and Scheduling with Application to Nurse Management," Operations Research, INFORMS, vol. 63(6), pages 1431-1451, December.
    16. Salem Al-Yakoob & Hanif Sherali, 2007. "Mixed-integer programming models for an employee scheduling problem with multiple shifts and work locations," Annals of Operations Research, Springer, vol. 155(1), pages 119-142, November.
    17. Bard, Jonathan F. & Purnomo, Hadi W., 2005. "Preference scheduling for nurses using column generation," European Journal of Operational Research, Elsevier, vol. 164(2), pages 510-534, July.
    18. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    19. X Zhu & H D Sherali, 2009. "Two-stage workforce planning under demand fluctuations and uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 94-103, January.
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    Cited by:

    1. Douglas S. Altner & Erica K. Mason & Les D. Servi, 2019. "Two-stage stochastic days-off scheduling of multi-skilled analysts with training options," Journal of Combinatorial Optimization, Springer, vol. 38(1), pages 111-129, July.
    2. Shoufeng Ma & Hongming Li & Ning Zhu & Chenyi Fu, 2021. "Stochastic programming approach for unidirectional quay crane scheduling problem with uncertainty," Journal of Scheduling, Springer, vol. 24(2), pages 137-174, April.

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