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Stochastic optimization for real time service capacity allocation under random service demand

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  • Christopher Dance
  • Alexei Gaivoronski

Abstract

The problem of repeated allocation of limited renewable service resources to distributed service centers is considered here. The objective is to assure a given Quality of Service expressed through percentage of demand which is satisfied during a specified time period. Resource requirements are not fully known at the time when a decision about the service resource distribution is taken. The problem is addressed by formulating a succession of stochastic optimization problems solved at the time of resource allocation. Solutions of these problems are derived by applying duality theory. We pay special attention to the interplay between performance and risk by introducing the concept of a risk budget. Results of numerical experiments confirm the efficiency of the approach. Copyright The Author(s) 2012

Suggested Citation

  • Christopher Dance & Alexei Gaivoronski, 2012. "Stochastic optimization for real time service capacity allocation under random service demand," Annals of Operations Research, Springer, vol. 193(1), pages 221-253, March.
    • Handle: RePEc:spr:annopr:v:193:y:2012:i:1:p:221-253:10.1007/s10479-011-0842-2
    DOI: 10.1007/s10479-011-0842-2
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    1. Opher Baron & Joseph Milner, 2009. "Staffing to Maximize Profit for Call Centers with Alternate Service-Level Agreements," Operations Research, INFORMS, vol. 57(3), pages 685-700, June.
    2. Lau, Hon-Shiang & Hing-Ling Lau, Amy, 1996. "The newsstand problem: A capacitated multiple-product single-period inventory problem," European Journal of Operational Research, Elsevier, vol. 94(1), pages 29-42, October.
    3. Daniela Pucci de Farias & Benjamin Van Roy, 2006. "A Cost-Shaping Linear Program for Average-Cost Approximate Dynamic Programming with Performance Guarantees," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 597-620, August.
    4. Joseph M. Milner & Tava Lennon Olsen, 2008. "Service-Level Agreements in Call Centers: Perils and Prescriptions," Management Science, INFORMS, vol. 54(2), pages 238-252, February.
    5. Pascal Hentenryck & Russell Bent & Luc Mercier & Yannis Vergados, 2009. "Online stochastic reservation systems," Annals of Operations Research, Springer, vol. 171(1), pages 101-126, October.
    6. Gaivoronski, Alexei A. & Stella, Fabio, 2003. "On-line portfolio selection using stochastic programming," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 1013-1043, April.
    7. Zhang, Bin & Du, Shaofu, 2010. "Multi-product newsboy problem with limited capacity and outsourcing," European Journal of Operational Research, Elsevier, vol. 202(1), pages 107-113, April.
    8. 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.
    9. Warren B. Powell & Arun Marar & Jack Gelfand & Steve Bowers, 2002. "Implementing Real-Time Optimization Models: A Case Application From The Motor Carrier Industry," Operations Research, INFORMS, vol. 50(4), pages 571-581, August.
    10. J. Michael Harrison & Assaf Zeevi, 2005. "A Method for Staffing Large Call Centers Based on Stochastic Fluid Models," Manufacturing & Service Operations Management, INFORMS, vol. 7(1), pages 20-36, September.
    11. Warren B. Powell, 2009. "What you should know about approximate dynamic programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 239-249, April.
    12. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.
    13. Abdel-Malek, Layek L. & Montanari, Roberto, 2005. "An analysis of the multi-product newsboy problem with a budget constraint," International Journal of Production Economics, Elsevier, vol. 97(3), pages 296-307, September.
    14. Megow, Nicole & Schulz, Andreas S., 2004. "Scheduling to Minimize Average Completion Time Revisited: Deterministic On-line Algorithms," Working papers 4435-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    15. Gaivoronski, Alexei A. & Krylov, Sergiy & van der Wijst, Nico, 2005. "Optimal portfolio selection and dynamic benchmark tracking," European Journal of Operational Research, Elsevier, vol. 163(1), pages 115-131, May.
    16. Júlíus Atlason & Marina A. Epelman & Shane G. Henderson, 2008. "Optimizing Call Center Staffing Using Simulation and Analytic Center Cutting-Plane Methods," Management Science, INFORMS, vol. 54(2), pages 295-309, February.
    17. Thomas M. Cover, 1991. "Universal Portfolios," Mathematical Finance, Wiley Blackwell, vol. 1(1), pages 1-29, January.
    18. Chung, Chia-Shin & Flynn, James & Kirca, Omer, 2008. "A multi-item newsvendor problem with preseason production and capacitated reactive production," European Journal of Operational Research, Elsevier, vol. 188(3), pages 775-792, August.
    19. Avramidis, Athanassios N. & Chan, Wyean & Gendreau, Michel & L'Ecuyer, Pierre & Pisacane, Ornella, 2010. "Optimizing daily agent scheduling in a multiskill call center," European Journal of Operational Research, Elsevier, vol. 200(3), pages 822-832, February.
    20. Zhang, Bin & Xu, Xiaoyan & Hua, Zhongsheng, 2009. "A binary solution method for the multi-product newsboy problem with budget constraint," International Journal of Production Economics, Elsevier, vol. 117(1), pages 136-141, January.
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    Cited by:

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    2. Darina Graczová & Peter Jacko, 2014. "Generalized Restless Bandits and the Knapsack Problem for Perishable Inventories," Operations Research, INFORMS, vol. 62(3), pages 696-711, June.
    3. Kovacevic, Raimund M. & Pflug, Georg Ch., 2014. "Electricity swing option pricing by stochastic bilevel optimization: A survey and new approaches," European Journal of Operational Research, Elsevier, vol. 237(2), pages 389-403.

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