Cost-benefit analysis of one-server n-unit adaptive system with slow switch
作者:
M.N. Gopalan,
R. Radhakrishnan,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1986)
卷期:
Volume 4,
issue 3
页码: 309-316
ISSN:0736-2994
年代: 1986
DOI:10.1080/07362998608809092
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
This paper considers a shared parallel system consisting of n-units supported by single service facility to carry out both installation and repair of a unit. Initially, all the n units share the total load equally and when one or more units fail, they go for repair while the other surviving units share the entire load equally till the failed units are ready for operation after installation. The installation time (switchover time) of a repaired unit is assumed to be non-negligible and random. The system will be down when all the units are non-operative , Assuming that the failure rates are different when the units function under varying loads, the system characteristics, namely, (1) the expected up-time of the system during (0, t], (2) the expected repair time of the units which failed due to varying failure rates during (0, t] and (3) the expected time spent by the units in the installation state during the period (0, t], are obtained by identifying the system at suitable regeneration epochs. The repair time and the switchover time of the units are arbitrarily distributed. The failure rate of unit is assumed to be constant. It depends on the number of surviving units at any instant. The cost-benefit analysis is also carried out using these system characteristics
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