Abstract | ||
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In this paper, the transient solution is obtained for a multiprocessor system with multiple Poisson streams of task and exponential execution times. Each task requires exactly one processor for its execution and the scheduling policy is FCFS. The scheduler schedules a newly arriving task into any one of the idle processors, and the task is rejected if there is no idle processor. For this model, the exact time-dependent solution of system size probabilities at various streams, their means, variances and correlations are obtained using the properties of tridiagonal determinants. |
Year | DOI | Venue |
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2000 | 10.1080/00207160008804898 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | Field | DocType |
multiprocessor system, task scheduling, task rejection probabilities, loss systems, tridiagonal determinants | Tridiagonal matrix,Markov process,Exponential function,Scheduling (computing),Idle,Parallel computing,Multiprocessing,Schedule,Poisson distribution,Mathematics | Journal |
Volume | Issue | ISSN |
73 | 3 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
P. R. Parthasarathy | 1 | 27 | 8.50 |
S. Dharmaraja | 2 | 175 | 16.72 |
G. Manimaran | 3 | 735 | 55.95 |