DYNAMIC ANALYSIS OF A REWARD PROCESS DEFINED ON A CYCLIC RENEWAL PROCESS WITH APPLICATIONS TO PREVENTIVE MAINTENANCE PROBLEMS
نویسندگان
چکیده
منابع مشابه
Dynamic Analysis of a Reward Process Defined on a Cyclic Renewal Process with Applications to Preventive Maintenance Problems
A cyclic renewal process is considered as an extension of an alternating renewal process, where each of the underlying independently and identically distributed (i.i.d.) nonnegative random increments is composed of multiple stages. Such a process may be appropriate for analyzing optimal preventive maintenance policies for production management, where a pair of two stages representing an uptime ...
متن کاملDynamic Analysis of a Reward Process Defined on a Cyclic Renewal Process with Application to Maintenance Problems
The purpose of this thesis is to introduce a cyclic renewal process as an extension of an alternating renewal process, where each of underlying i.i.d. nonnegative random increments is composed of multiple stages, i.e. Yn = ∑J j=1 Xj , n 1, where Yn denotes the lifetime of the n-th cycle and Yn’s are i.i.d. with respect to n. Such a process may be appropriate for analyzing optimal preventive mai...
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It is well known that various characteristics in risk and queuing process can be formulated as Markov Renewal function. We study the max-position of finitely many Markov Renewal Reward process with countable state space. We define Markov Renewal equation associated with max-posed process. The solutions of the Markov Renewal Reward equation are derived and the asymptotic behaviors of the equatio...
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ژورنال
عنوان ژورنال: Journal of the Operations Research Society of Japan
سال: 2009
ISSN: 0453-4514,2188-8299
DOI: 10.15807/jorsj.52.283