Cost benefit analysis of four retrial systems with warm standby units and imperfect coverage

•This paper investigates the cost benefit analysis of four different retrial systems with warm standby units and imperfect coverage. Each retrial system contains various amount of primary and warm standby units. We derive the explicit expressions of the mean time-to-failure and the steady-state avai...

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Bibliographic Details
Published in:Reliability engineering & system safety 2020-10, Vol.202, p.107006, Article 107006
Main Authors: Yen, Tseng-Chang, Wang, Kuo-Hsiung
Format: Article
Language:English
Subjects:
Availability
Cloud computing
Computer networks
Cost benefit analysis
Cost-benefit
Data centers
Failure times
Imperfect coverage
Mean time to failure
Reliability engineering
Retrial system
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Summary:•This paper investigates the cost benefit analysis of four different retrial systems with warm standby units and imperfect coverage. Each retrial system contains various amount of primary and warm standby units. We derive the explicit expressions of the mean time-to-failure and the steady-state availability among four retrial system and perform comparisons. The cost/benefit is also compared among four retrial systems with given to the distribution parameters, and to the cost of the primary and warm standby units. Retrial systems have been extensively used to model many practical problems in communication network, data center, cloud service computing center, computer network, etc. This paper deals with the cost benefit analysis of four different retrial systems with warm standby units and imperfect coverage. Each retrial system contains various amount of primary and warm standby units. Failure times and repair times of the primary and warm standby units are exponentially distributed. We assume that the coverage factor is the same for a primary-unit failure as that for a standby-unit failure and is denoted by c. We derive the explicit expressions of the mean time-to-failure and the steady-state availability for each retrial system and perform comparisons. The cost/benefit is also compared among four retrial systems with given to the distribution parameters, and to the cost of the primary and warm standby units.
ISSN:0951-8320
1879-0836
DOI:10.1016/j.ress.2020.107006