Title
Transient Solution Of Multiprocessor Systems With State-Dependent Arrivals
Abstract
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
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. Parthasarathy1278.50
S. Dharmaraja217516.72
G. Manimaran373555.95