Efficient and Reliable Computation of Birth-Death Process Performance Measures
Published Online:29 Dec 2010https://doi.org/10.1287/ijoc.1100.0435
References
- Staffing multi-skill call centers via search methods and a performance approximation. IIE Trans. (2009) 41(6):483–497Crossref, Google Scholar
- Markov chain models of a telephone call center with call blending. Comput. Oper. Res. (2007) 34(6):1616–1645Crossref, Google Scholar
- Telephone call centers: Tutorial, review, and research prospects. Manufacturing Service Oper. Management (2003) 5(2):79–141Link, Google Scholar
- Designing a call center with impatient customers. Manufacturing Service Oper. Management (2002) 4(3):208–227Link, Google Scholar
- Queueing ToolPak 4.0. (2003) . Retrieved December 17, 2010, http://apps.business.ualberta.ca/aingolfsson/qtp/Google Scholar
- Some properties of the Erlang loss function. Bell System Tech. J. (1974) 53(3):525–551Crossref, Google Scholar
- The classification of birth and death processes. Trans. Amer. Math. Soc. (1957) 86(2):366–400Crossref, Google Scholar
- Bounds on tail probabilities of discrete distributions. Probab. Engrg. Informational Sci. (2000) 14(2):161–171Crossref, Google Scholar
- A formula for tail probabilities of Cox distributions. J. Appl. Probab. (2004) 41(3):935–938Crossref, Google Scholar
- , Spath D., Fähnrich K.-P. Service engineering in action: The Palm/Erlang-A queue, with applications to call centers. Advances in Services Innovation (2007) (Springer, Berlin) 17–45Crossref, Google Scholar
- Biological applications of the theory of birth-and-death processes. Briefings Bioinformatics (2006) 7(1):70–85Crossref, Google Scholar
- Stochastic Service Systems (1962) (John Wiley & Sons, New York) Google Scholar
- Introduction to Probability Models (2007) 9th ed.(Academic Press, Boston) Google Scholar
- , Spencer B. D. Statistical analysis for the masses. Statistics and Public Policy (1997) (Oxford University Press, New York) 262–276Crossref, Google Scholar
- Calculation of steady-state probabilities of M/M queues: Further approaches. J. Appl. Math. Decision Sci. (2002) 6(1):43–50Crossref, Google Scholar
- Stochastic Models: An Algorithmic Approach (1994) (John Wiley & Sons, New York) Google Scholar
- Stochastic monotonicity of birth-death processes. Adv. Appl. Probab. (1980) 12(1):59–80Crossref, Google Scholar
- Engineering solution of a basic call-center model. Management Sci. (2005) 51(2):221–235Link, Google Scholar

