Nothing Special   »   [go: up one dir, main page]

skip to main content
10.5555/2433508.2433862acmconferencesArticle/Chapter ViewAbstractPublication PageswscConference Proceedingsconference-collections
research-article

Does the Erlang C model fit in real call centers?

Published: 05 December 2010 Publication History

Abstract

We consider the Erlang C model, a queuing model commonly used to analyze call center performance. Erlang C is a simple model that ignores caller abandonment and is the model most commonly used by practitioners and researchers. We compare the theoretical performance predictions of the Erlang C model to a call center simulation model where many of the Erlang C assumptions are relaxed. Our findings indicate that the Erlang C model is subject to significant error in predicting system performance, but that these errors are heavily biased and most likely to be pessimistic, i.e. the system tends to perform better than predicted. It may be the case that the model's tendency to provide pessimistic (i.e. conservative) estimates helps explain its continued popularity. Prediction error is strongly correlated with the abandonment rate so the model works best in call centers with large numbers of agents and relatively low utilization rates.

References

[1]
Aksin, Z., M. Armony and V. Mehrotra. 2007. The Modern Call-Center: A Multi-Disciplinary Perspective on Operations Management Research. Production and Operations Management 16: 665--668.
[2]
Armony, M. and A. R. Ward 2008. Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems, Stern School of Business, NYU.
[3]
Bassamboo, A., J. M. Harrison and A. Zeevi. 2005. Design and Control of a Large Call Center: Asymptotic Analysis of an LP-based Method. Operations Research 54: 419--435.
[4]
Borst, S., A. Mandelbaum and M. I. Reiman. 2004. Dimensioning Large Call Centers. Operations Research 52: 17--35.
[5]
Brown, L., N. Gans, A. Mandelbaum, et al. 2005. Statistical Analysis of a Telephone Call Center: A Queueing-Science Perspective. Journal of the American Statistical Association 100: 36--50.
[6]
Chen, B. P. K. and S. G. Henderson. 2001. Two Issues in Setting Call Centre Staffing Levels. Annals of Operations Research 108: 175--192.
[7]
Gans, N., G. Koole and A. Mandelbaum. 2003. Telephone call centers: Tutorial, review, and research prospects. Manufacturing & Service Operations Management 5: 79--141.
[8]
Gans, N. and Y.-P. Zhou. 2007. Call-Routing Schemes for Call-Center Outsourcing. Manufacturing & Service Operations Management 9: 33--51.
[9]
Green, L. V., P. Kolesar and J. Soares. 2003. An Improved Heuristic for Staffing Telephone Call Centers with Limited Operating Hours. Production and Operations Management 12: 46--61.
[10]
Green, L. V., P. J. Kolesar and J. Soares. 2001. Improving the SIPP Approach for Staffing Service Systems That Have Cyclic Demands. Operations Research 49: 549--564.
[11]
Halfin, S. and W. Whitt. 1981. Heavy-Traffic Limits for Queues with Many Exponential Servers. Operations Research 29: 567--588.
[12]
Harrison, J. M. and A. Zeevi. 2005. A Method for Staffing Large Call Centers Based on Stochastic Fluid Models. Manufacturing & Service Operations Management 7: 20--36.
[13]
Jennings, O. B. and A. Mandelbaum. 1996. Server staffing to meet time-varying demand. Management Science 42: 1383.
[14]
L'Ecuyer, P. 1999. Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators. Operations Research 47: 159--164.
[15]
Law, A. M. 2007. Simulation modeling and analysis. Boston, McGraw-Hill.
[16]
Mandelbaum, A., A. Sakov and S. Zeltyn 2001. Empirical Analysis of a Call Center, Technion - Israel Institute of Technology.
[17]
Robbins, T. R. 2007. Managing Service Capacity Under Uncertainty - Unpublished PhD Dissertation Pennsylvania State University. University Park, PA. Avaialble via (http://personal.ecu.edu/robbinst/) {accessed August 31, 2010}
[18]
Robbins, T. R. and T. P. Harrison. 2010. Call Center Scheduling with Uncertain Arrivals and Global Service Level Agreements. European Journal of Operational Research Forthcoming.
[19]
Robbins, T. R., D. J. Medeiros and P. Dum 2006. Evaluating Arrival Rate Uncertainty in Call Centers. 2006 Winter Simulation Conference, Monterey, CA.
[20]
Santner, T. J., B. J. Williams and W. Notz 2003. The design and analysis of computer experiments. New York, Springer.
[21]
Steckley, S. G., S. G. Henderson and V. Mehrotra. 2009. Forecast Errors in Service Systems. Probability in the Engineering and Informational Sciences: 305--332.
[22]
Steckley, S. G., W. B. Henderson and V. Mehrotra 2004. Service System Planning in the Presence of a Random Arrival Rate, Cornell University.
[23]
Wallace, R. B. and W. Whitt. 2005. A Staffing Algorithm for Call Centers with Skill-Based Routing. Manufacturing & Service Operations Management 7: 276--294.
[24]
Whitt, W. 2006. Staffing a Call Center with Uncertain Arrival Rate and Absenteeism. Production and Operations Management 15: 88--102.

Cited By

View all
  • (2018)Robust heavy-traffic approximations for service systems facing overdispersed demandQueueing Systems: Theory and Applications10.5555/3288543.328856590:3-4(257-289)Online publication date: 1-Dec-2018
  • (2017)Beyond callsProceedings of the 2017 Winter Simulation Conference10.5555/3242181.3242513(1-12)Online publication date: 3-Dec-2017
  • (2016)Evaluating the fit of the Erlang A model in high traffic call centersProceedings of the 2016 Winter Simulation Conference10.5555/3042094.3042320(1790-1801)Online publication date: 11-Dec-2016
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Conferences
WSC '10: Proceedings of the Winter Simulation Conference
December 2010
3519 pages
ISBN:9781424498642

Sponsors

Publisher

Winter Simulation Conference

Publication History

Published: 05 December 2010

Check for updates

Qualifiers

  • Research-article

Conference

WSC10
Sponsor:
WSC10: Winter Simulation Conference
December 5 - 8, 2010
Maryland, Baltimore

Acceptance Rates

WSC '10 Paper Acceptance Rate 184 of 281 submissions, 65%;
Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)2
  • Downloads (Last 6 weeks)0
Reflects downloads up to 22 Nov 2024

Other Metrics

Citations

Cited By

View all
  • (2018)Robust heavy-traffic approximations for service systems facing overdispersed demandQueueing Systems: Theory and Applications10.5555/3288543.328856590:3-4(257-289)Online publication date: 1-Dec-2018
  • (2017)Beyond callsProceedings of the 2017 Winter Simulation Conference10.5555/3242181.3242513(1-12)Online publication date: 3-Dec-2017
  • (2016)Evaluating the fit of the Erlang A model in high traffic call centersProceedings of the 2016 Winter Simulation Conference10.5555/3042094.3042320(1790-1801)Online publication date: 11-Dec-2016
  • (2014)Modeling and simulation applied to capacity planning of voice gatewaysProceedings of the 2014 Winter Simulation Conference10.5555/2693848.2694243(3143-3154)Online publication date: 7-Dec-2014

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media