`a`
Journal of Industrial and Management Optimization (JIMO)
 

Unified and refined analysis of the response time and waiting time in the M/M/m FCFS preemptive-resume priority queue
Pages: 1945 - 1973, Issue 4, October 2017

doi:10.3934/jimo.2017026      Abstract        References        Full text (339.9K)           Related Articles

Hideaki Takagi - Professor Emeritus, University of Tsukuba, Faculty of Engineering, Information and Systems, 1-1-1 Tennoudai, Tsukuba-shi, Ibaraki 305-8573, Japan (email)

1 I. Brosh, Preemptive priority assignment in multichannel systems, Operations Research, 17 (1969), 526-535.
2 J. P. Buzen and A. B. Bondi, The response times of priority classes under preemptive resume in M/M/$ m $ queues, Operations Research, 31 (1983), 456-465.
3 R. B. Cooper, Introduction to Queueing Theory, $2^{nd}$ edition, Elsevier North Holland, New York, 1981.       
4 M. Fujiki, (Japanese) Fundamental theory and application on communication traffic. 5 queueing theory (part 2), Transactions of the Institute of Electronics and Communication Engineers of Japan, 55 (1972), 1194-1200.
5 D. P. Gaver, Jr., A waiting line with interrupted service, including priorities, Journal of the Royal Statistical Society, Series B (Methodological), 24 (1962), 73-90.       
6 V. G. Kulkarni, Modeling and Analysis of Stochastic Systems, Chapman & Hall, Boca Raton, Florida, 1995.       
7 M. Segal, A multiserver system with preemptive priorities, Operations Research, 18 (1970), 316-323.
8 H. Takagi, Detailed analysis of the response time and waiting time in the M/M/m FCFS preemptive-resume priority queue, in Queueing Theory and Network Applications (eds. T. V. Do, Y. Takahashi, W. Yue and V.-Ha Nguen), Springer, (2016), 3-17.
9 H. Takagi, Analysis of the response and waiting times in the M/M/m LCFS preemptive-resume priority queue, International Journal of Pure and Applied Mathematics, 109 (2016), 325-370.
10 A. G. Tatashev, Calculation of the distribution of the waiting time in a multiple-channel queueing system with fixed priorities, Engineering Cybernetics, 22 (1984), 59-62, (Originally published in Tekhnicheskaya Kibernetika, 1983, 163-166).       
11 H. M. Taylor and S. Karlin, An Introduction to Stochastic Modeling, $3^{rd}$ edition, Academic Press, San Diego, California, 1998.       
12 H. White and L. S. Christie, Queuing with preemptive priorities or with breakdown, Operations Research, 6 (1958), 79-95.       
13 S. Zeltyn, Z. Feldman and S. Wasserkrug, Waiting and sojourn times in a multi-server queue with mixed priorities, Queueing Systems, 61 (2009), 305-328.       

Go to top