Stochastic Model of a Cold-Stand by System with Waiting for Arrival &Treatment of Server
Stochastic Model of a Cold-Stand by System with Waiting for Arrival &Treatment of Server作者机构：Department of Statistics Punjabi University Patiala India
出 版 物：《American Journal of Operations Research》 (美国运筹学期刊（英文）)
年 卷 期：2016年第6卷第4期
页 面：334-342页
学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
主 题：Stochastic Model Cold-Standby System Server Failure Regenerative Point Arrival and Treatment Times
摘 要：The service facility or server is the key constituent to keep a system operational for desired period of time. As any eventuality with the system necessitates immediate presence of it (server) so the time point of arrival and treatment of server significantly affects the system performance. This paper works out the steady state behavior of a cold standby system equipped with two similar units and a server with elapsed arrival and treatment times following general probability distributions. It practices the theory of semi-Markov processes, regenerative point technique and Laplace transforms to derive the expressions for state transition probabilities, mean sojourn times, mean time to system failure, system availability, server busy period and expected frequencies of repairs and treatments. The profit function is also developed taking different costs and revenue in to account. For tracing wider applicability of the model for different reliability and cost-effective systems, a particular case study is also presented as an illustration.
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