A performance measure for Markov system with stochastic supply patterns and stochastic demand patterns

Baoliang Liu, Lirong Cui, Yanqing Wen and Jingyuan Shen

Reliability Engineering and System Safety, 2013, vol. 119, issue C, 294-299

Abstract: A system consisting of supply and demand is considered in this paper. Both the supply patterns and demand patterns are random. Thus, both the supply and the demand are modeled by Markov processes. The performance measure considered here is the probability that the demand is met by the supply during given time interval [0,t]. A close form expression for the performance measure is obtained by using aggregated stochastic process theory and Kronecker matrix operations. In the meanwhile, the performance measures in a general interval [a,b] and multiple intervals [a1,b1],[a2,b2],…,[am,bm] have also been given. Finally, a numerical example is given to illustrate the results obtained in this paper.

Keywords: Stochastic supply; Stochastic demand; Markov process; Aggregated stochastic process; Kronecker matrix operations (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:119:y:2013:i:c:p:294-299

DOI: 10.1016/j.ress.2013.07.001

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