Browse > Article

A TRIAL SOLUTION APPROACH TO THE GI/M/1 QUEUE WITH N-POLICY AND EXPONENTIAL VACATIONS  

Chae, Kyung-Chul (Department of Industrial Engineering, KAIST)
Lee, Sang-Min (Department of Industrial Engineering, KAIST)
Kim, Nam-Ki (Department of Industrial Engineering, Chonnam National University)
Kim, Jin-Dong (JP Morgan Chase Bank)
Lee, Ho-Woo (Department of System Management Engineering, Sungkyunkwan University)
Publication Information
Journal of the Korean Statistical Society / v.33, no.3, 2004 , pp. 283-298 More about this Journal
Abstract
We present a trial solution approach to GI/M/l queues with generalized vacations. Specific types of generalized vacations we consider are N -policy and a combination of N-policy and exponential multiple vacations. Discussions about how to find trial solutions are given.
Keywords
GI/M/l; N-policy; multiple vacations; regenerative process; queue length;
Citations & Related Records
연도 인용수 순위
  • Reference
1 KARAESMEN, F. AND GUPTA, S. M. (1996). 'The finite capacity GI/M/1 queue with server vacations', Journal of the Operation Research Society, 47, 817-828   DOI
2 KE, J. C. (2003). 'The analysis of a general input queue with N policy and exponential vacations', Queueing Systems, 45, 135-160   DOI   ScienceOn
3 TAKAGI, H. (1993). Queueing Analysis, Vol. 2, North-Holland, Amsterdam
4 TIAN, N., ZHANG, D. Q. AND CAO, C. X. (1989). 'The GI/M/1 queue with exponential vacations', Queueing Systems, 5, 331-344   DOI
5 WOLFF, R. W. (1982). 'Poisson arrivals see time averages', Operations Research, 30, 223-231   DOI   ScienceOn
6 CHOI, B. D. AND HAN, D. H. (1994). 'G/M^a^,^b/1 queues with server vacations', Journal of the Operation Research Society of Japan, 37, 171-181   DOI
7 EL-TAHA, M. AND STIDHAM JR., S. S. (1999). Sample-Path Analysis of Queueing Systems, Kluwer Academic Publishers, Boston
8 DANIEL, J. K. AND KRISHNAMOORTHY, K. (1986). 'A GI/M/1 queue with rest periods', Optimization, 17, 535-543   DOI   ScienceOn
9 GROSS, D. AND HARRIS, C. M. (1985). Fundamentals of Queueing Theory, 2nd ed., John Wiley & Sons, New York
10 CHOI, B. D. AND PARK, K. K. (1991). 'A G/M/1 vacation model with exhaustive server', Communications of the Korean Mathematical Society, 6, 267-281
11 WOLFF, R. W. (1989). Stochastic Modeling and the Theory of Queues, Prentice-Hall, Englewood Cliffs, New Jersey
12 TIAN, N. AND ZHANG, Z. G. (2003). 'Stationary distribution of GI/M/c queue with PH type vacations', Queueing Systems, 44, 183-202   DOI   ScienceOn
13 KE, J. C. AND WANG, K. H. (2002). 'A recursive method for the N Policy G/M/1 queueing system with finite capacity', European Journal of Operation Research, 142, 577-594   DOI   ScienceOn
14 TIAN, N. AND ZHANG, Z. G. (2002). 'The discrete-time GI/Geo/1 queue with multiple vacations', Queueing Systems, 40, 283-294   DOI   ScienceOn
15 DOSHI, B. T. (1986). 'Queueing systems with vacation-a survey', Queueing Systems, 1, 29-66   DOI
16 TAKAGI, H. (1991). Queueing Analysis, Vol. 1, North-Holland, Amsterdam
17 ZHANG, Z. G. AND TIAN, N. (2004). 'The N threshold policy for the GI/M/1 queue', Operations Research Letters, 32, 77-84   DOI   ScienceOn
18 Ross, S. M. (1997). Introduction to Probability Models, 6th ed., Academic Press, San Diego