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Service Engineering in Action: The Palm/Erlang-A Queue, with Applications to Call Centers

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References

  1. Adler PS, Mandelbaum A, Nguyen V, Schwerer E (1995) From project to process management: An empirically-based framework for analyzing product development time. Management Science 41: 458–484

    MATH  Google Scholar 

  2. Aguir MS, Karaesmen F, Aksin OZ, Chauvet F (2004) The impact of retrials on call center performance. OR Spectrum, Special Issue on Call Center Management 26(3): 353–376

    MATH  MathSciNet  Google Scholar 

  3. Armony M, Mandelbaum A (2004) Design, staffing and control of large service systems: The case of a single customer class and multiple server types. Working paper, available at http://iew3.technion.ac.il/serveng/References/references.html

    Google Scholar 

  4. Armony M, Gurvich I, Mandelbaum A (2004) Staffing and control of large-scale service systems with multiple customer classes and fully flexible servers. Working paper, available at http://iew3.technion.ac.il/serveng/References/references.html

    Google Scholar 

  5. Bain P, Taylor P (2002) Consolidation, ‘Cowboys’ and the developing employment relationship in British, Dutch and US call centres. In: Holtgrewe U, Kerst C, Shire K (eds.), Re-Organising Service Work. Ashgate Publishing Limited, pp 42–62

    Google Scholar 

  6. Bassamboo A, Harrison JM, Zeevi A (2004) Design and control of a large call center: Asymptotic analysis of an LP-based method. Submitted for publication

    Google Scholar 

  7. Bittner S, Schietinger M, Schroth J, Weinkopf C (2002) Call centres in Germany: Employment, training and job design. In: Holtgrewe U, Kerst C, Shire K (eds), Re-Organising Service Work. Ashgate Publishing Limited, pp 63–85

    Google Scholar 

  8. Borst S, Mandelbaum A, Reiman M (2004) Dimensioning large call centers. Operations Research 52(1): 17–34

    Article  MathSciNet  Google Scholar 

  9. Borst S, Mandelbaum A, Reiman M, Zeltyn S (2004) Dimensioning call centers with abandonment, in preparation

    Google Scholar 

  10. Brown LD, Gans N, Mandelbaum A, Sakov A, Shen H, Zeltyn S, Zhao L (2002) Statistical analysis of a telephone call center: A queueing science perspective. Journal of the American Statistical Association (JASA) 100(469): 36–50

    Article  MathSciNet  Google Scholar 

  11. Call Center Data (2002) Technion, Israel Institute of Technology, available at http://iew3.technion.ac.il/serveng/callcenterdata/index.html

    Google Scholar 

  12. Cleveland B, Mayben J (1997) Call Center Management on Fast Forward. Call Center Press, Annapolis

    Google Scholar 

  13. Erlang AK (1948) On the rational determination of the number of circuits. In Brockmeyer E, Halstrom HL, Jensen A (eds), The life and Works of A.K.Erlang. The Copenhagen Telephone Company, Copenhagen

    Google Scholar 

  14. Fitzsimmons JA, Fitzsimmons MJ (2004) Service Management: Operations, Strategy and Information Technology. 4th edn., McGraw-Hill/Irwin

    Google Scholar 

  15. 4CallCenters Software (2002), available at http://iew3.technion.ac.il/serveng/4CallCenters/Downloads.html

    Google Scholar 

  16. Gans N, Koole G, Mandelbaum A (2003) Telephone call centers: a tutorial and literature review. Invited review paper, Manufacturing and Service Operations Management 5(2): 79–141

    Article  Google Scholar 

  17. Garnett O, Mandelbaum A (2000) An Introduction to Skills-Based Routing and its Operational Complexities. Teaching note, Technion, Israel, available at http://iew3.technion.ac.il/serveng2004/Lectures/SBR.pdf

    Google Scholar 

  18. Garnett O, Mandelbaum A, Reiman M (2002) Designing a telephone call-center with impatient customers. Manufacturing and Service Operations Management 4: 208–227

    Article  Google Scholar 

  19. Halfin S, Whitt W (1981) Heavy-traffic limits for queues with many exponential servers. Operations Research 29: 567–588

    Article  MATH  MathSciNet  Google Scholar 

  20. Harrison JM, Zeevi A (2004) A method for staffing large call centers using stochastic fluid models. To appear in Manufacturing and Service Operations Management

    Google Scholar 

  21. Helber S, Mandelbaum A (2004) GIF Research Proposal

    Google Scholar 

  22. Helber S, Stolletz R (2004) Call Center Management in der Praxis. Springer, Berlin Heidelberg New York, in German

    Google Scholar 

  23. Larson RC (1988) Operations research and service industries. In: Guiles BR, Quinn JB (eds), Managing innovation: cases from the services industries. National Academy Press, Washington D.C., pp 115–143

    Google Scholar 

  24. Lovelock CG (1992) Managing Services: Marketing, Operations and Human Resources, Prentice-Hall

    Google Scholar 

  25. Mandelbaum A (2003) Call Centers. Research Bibliography with Abstracts. Version 5, available at http://iew3.technion.ac.il/serveng/References/references.html

    Google Scholar 

  26. Mandelbaum A, Shimkin N (2000) A model for rational abandonment from invisible queues. Queueing Systems: Theory and Applications (QUESTA) 36: 141–173

    Article  MATH  MathSciNet  Google Scholar 

  27. Mandelbaum A, Zeltyn S (2004) The impact of customers’ patience on delay and abandonment: Some empirically-driven experiments with the M/M/n + G queue. OR Spectrum, Special Issue on Call Center Management 26(3): 377–411

    MATH  MathSciNet  Google Scholar 

  28. Mandelbaum A, Zeltyn S (2004) M/M/n + G queue. Summary of performance measures, available at http://iew3.technion.ac.il/serveng/References/references.html

    Google Scholar 

  29. Mandelbaum A, Zeltyn S (2004) The Palm/Erlang-A Queue, with Applications to Call Centers. Teaching note to Service Engineering course, available at http://iew3.technion.ac.il/serveng/References/references.html

    Google Scholar 

  30. Mandelbaum A, Sakov A, Zeltyn S (2001) Empirical analysis of a call center. Technical report, Technion, available at http://iew3.technion.ac.il/serveng/References/references.html.

    Google Scholar 

  31. Palm C (1957) Research on telephone traffic carried by full availability groups. Tele, Vol. 1, 107 pp (English translation of results first published in 1946 in Swedish in the same journal, which was then entitled Tekniska Meddelanden fran Kungl. Telegrafstyrelsen.)

    Google Scholar 

  32. Pollock SM, Rothkopf MH, Barnett A (eds) (1994) Operations Research and the Public Sector. Handbooks in Operations Research and Management Science, Vol.6, North-Holland

    Google Scholar 

  33. Riordan J (1962) Stochastic Service Systems, Wiley

    Google Scholar 

  34. ’service Engineering’ course website, Technion, available at http://iew3.technion.ac.il/serveng

    Google Scholar 

  35. Shimkin N, Mandelbaum A (2004) Rational abandonment from tele-queues: non-linear waiting costs with heterogeneous preferences, Queueing Systems: Theory and Applications (QUESTA) 47: 117–146

    Article  MATH  MathSciNet  Google Scholar 

  36. Srinivasan R, Talim J, Wang J (2004) Performance analysis of a call center with interactive voice response units. Sociedad de Estadistica e Investigacion Operativa Top 12(1): 91–110

    MATH  MathSciNet  Google Scholar 

  37. Whitt W (2004) Fluid models for many-server queues with abandonments. To appear in Operations Research

    Google Scholar 

  38. Whitt W (2004) Staffing a call center with uncertain arrival rate and absenteeism. Submitted to Management Science

    Google Scholar 

  39. Whitt W (2004) Sensitivity of performance in the Erlang A model to changes in the model parameters. Submitted to Operations Research

    Google Scholar 

  40. Whitt W (2005) Engineering solution of a basic call-center model. Management Science 51(2): 221–235

    Article  Google Scholar 

  41. Whitt W (2005) Two fluid approximations for multi-server queues with abandonments. Operations Research Letters 33: 363–372

    Article  MATH  MathSciNet  Google Scholar 

  42. Zeltyn S (2004) Call centers with impatient customers: Exact analysis and many-server asymptotics of the M/M/n + G queue, Ph.D. thesis, Technion, available at http://iew3.technion.ac.il/serveng/References/references.html

    Google Scholar 

  43. Zeltyn S, Mandelbaum A (2004) Call centers with impatient customers: many-server asymptotics of the M/M/n + G queue. Submitted to QUESTA, available at http://iew3.technion.ac.il/serveng/References/references.html

    Google Scholar 

  44. Zohar E, Mandelbaum A, Shimkin N (2002). Adaptive behavior of impatient customers in tele-queues: Theory and empirical support. Management Science 48: 566–583

    Article  Google Scholar 

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Mandelbaum, A., Zeltyn, S. (2007). Service Engineering in Action: The Palm/Erlang-A Queue, with Applications to Call Centers. In: Spath, D., Fähnrich, KP. (eds) Advances in Services Innovations. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-29860-1_2

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  • DOI: https://doi.org/10.1007/978-3-540-29860-1_2

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