×

Transient solution of a two-processor heterogeneous system. (English) Zbl 0970.60101

Time-dependent system size probabilities are obtained for a two-processor heterogeneous system.

MSC:

60K25 Queueing theory (aspects of probability theory)
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
Full Text: DOI

References:

[1] Lazowska, E. D.; Zahorjan, J.; Graham, G. S.; Sevcik, K. C., Quantitative System Performance (1984), Prentice-Hall
[2] Lavenberg, S. S., Computer Performance Modeling Handbook (1983), Academic Press: Academic Press New York · Zbl 0601.68005
[3] Takagi, H., Stochastic Analysis of Computer and Communication Systems: Finite Systems, II (1993), North-Holland: North-Holland Amsterdam
[4] Whitt, W., Untold horrors of the waiting room: What the equilibrium distribution will never tell about the queue-length process, Management Science, 29, 395-408 (1983) · Zbl 0517.60092
[5] Parthsarathy, P. R.; Sharafali, M., Transient solution to many-server Poisson queue: A simple approach, J. Appl. Prob., 26, 584-594 (1989) · Zbl 0693.60076
[6] Parthasarthy, P. R.; Vijayalashmi, V., Transient solution of a state dependent many server Poisson queue with balking, J. Appl. Statis. Sci., 2, 207-220 (1995) · Zbl 0883.60087
[7] Pathysarthy, P. R.; Lenin, R. B., On the numerical solution of transient probabilities of a state-dependent multiserver queue, Intern. J. Computer. Math., 66, 241-255 (1998) · Zbl 0891.65148
[8] Parthasarthy, P. R.; Vijayalakshmi, V., On quadrature approximation for the busy period density function of an M/M/1 queueing system, Amer. J. Math. and Manag. Sci., 18, 277-289 (1998) · Zbl 0938.60092
[9] Parthasarthy, P. R.; Dharmaraja, S.; Manimaran, G., Transient solution of multiprocessor systems with state-dependent arrivals, Intern. J. Computer. Math., 73, 313-320 (2000) · Zbl 0955.68015
[10] Nishida, T., Approximate analysis for heterogeneous multiprocessesor systems with priority jobs, Perf. Eval., 15, 77-88 (1992) · Zbl 0800.68239
[11] Trivedi, K. S., Probability and Statistics with Reliability, Queuing and Computer Science Applications (1982), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0513.60001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.