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Optimal group replacement policies

Benmerzouga, Ali

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1991, Doctor of Philosophy, Case Western Reserve University, Operations Research.
This work addresses a number of gaps in the literature of group repair and replacement policies for machines that are operating in parallel. Three new models will be introduced. The objective function, in all models, is to minimize the expected operating cost per unit time. The first model allows the incorporation of a random repair time. For machines with i.i.d. exponentially distributed failure times, a procedure is provided for finding the optimal m-failure policy when repair time is assumed to be a random variable with known parameters. In the second model the failure time parameters are no longer known with certainty but statistical learning about the nature of the failure time distribution is allowed. A new class of policies is introduced for machines with i.i.d. exponentially distributed failure times and a prior distribution (not necessarily of a conjugate form) for the failure time parameter λ. Finally, a new class of policies that is more adaptive than the m-failure, T-age and (m,T) policies will be introduced. This approach applies to the case where the failure time parameter is assumed known.
John Wilson (Advisor)
107 p.

Recommended Citations

Citations

  • Benmerzouga, A. (1991). Optimal group replacement policies [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1055518922

    APA Style (7th edition)

  • Benmerzouga, Ali. Optimal group replacement policies. 1991. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1055518922.

    MLA Style (8th edition)

  • Benmerzouga, Ali. "Optimal group replacement policies." Doctoral dissertation, Case Western Reserve University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=case1055518922

    Chicago Manual of Style (17th edition)