Markov chain approach to availability and profit evaluation of a series-parallel system with minor and major failures
作者: Saminu I. BalaIbrahim YusufYasin Ali Nuhu
作者单位: 1Bayero University, Kano. saminub@yahoo.com
刊名: International Journal of Applied Mathematical Research, 2017, Vol.6 (3), pp.67-73
来源数据库: Science Publishing Corporation
DOI: 10.14419/ijamr.v6i3.7813
关键词: AvailabilityOptimizationProfitMarkov Chain.
原始语种摘要: The paper deals with modeling and performance evaluation of a series-parallel with independent failures using Markov Birth-Death process and probabilistic approach. The system consists of three subsystems arranged in series and parallel configurations with three possible states, working, reduced capacity and failed. Through the transition diagram, systems of differential equations are developed and solved recursively via probabilistic approach. Failure and repair rates for all the subsystems are assumed constant. Availability and profit matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. Performance of each subsystem of series-parallel system is evaluated. The present study will...
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关键词翻译
关键词翻译
  • approach 
  • system 
  • parallel 平行的
  • profit 利息
  • availability 有效度
  • evaluation 评价
  • probabilistic 概率的
  • working 开采
  • chain 
  • decision 决定