[KSCI] Korea Science Citation Index Service

POISSON ARRIVAL QUEUE WITH ALTERNATING SERVICE RATES

KIM JONGWOO (Statistical Research Center for Complex Systems, Seoul National University)
LEE EUI YONG (Department of Statistics, Sookmyung Women’s University)
LEE HO WOO (Department of Systems Management Engineering, Sungkyunkwan University)

Publication Information

Journal of the Korean Statistical Society / v.34, no.1, 2005 , pp. 39-47 More about this Journal

Abstract

We adopt the P/sub λ, T//sup M/ policy of dam to introduce a service policy with alternating service rates for a Poisson arrival queue, in which the service rate alternates depending on the number of customers in the system. The stationary distribution of the number of customers in the system is derived and, after operating costs being assigned to the system, the optimization of the policy is studied.

Keywords

Poisson arrival queue; alternating service rates; long-run average cost;

Citations & Related Records

Reference

1	ABDEL-HAMEED, M. (2000). 'Optimal control of a dam using $P_{\lambda}^M,{\gamma}$ policies and penalty cost when the input process is a compound Poisson process with positive drift', Journal of Applied Probability, 37, 408-416 DOI ScienceOn
2	LI, S.-Q. (1989). 'Overload control in a finite message storage buffer', IEEE Transactions on Communications, 37, 1330-1338 DOI ScienceOn
3	YEH, L. (1985). 'Optimal control of a finite dam: Average-cost case', Journal of Applied Probability, 22, 480-484 DOI ScienceOn
4	LEE, E. Y. AND AHN, S. K. (1998). ' $P_{\lambda}^M$ -policy for a dam with input formed by a compound Poisson process', Journal of Applied Probability, 35, 482-488 DOI ScienceOn
5	BAE, J., KIM, S. AND LEE, E. Y. (2003). 'Average cost under the $P_{\lambda}^M,{\gamma}$ policy in a finite dam with compound Poisson inputs', Journal of Applied Probability, 40, 519-526 DOI ScienceOn
6	FADDY, M. J. (1974). 'Optimal control of finite dams: Discrete (2-stage) output procedure', Journal of Applied Probability, 11, 111-121 DOI ScienceOn
7	KARLIN, S. AND TAYLOR, H. M. (1975). A First Course in Stochastic Processes, 2nd edition, Academic Press, New York