2021-07-29T04:09:04Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000287942021-03-02T07:12:25ZDYNAMIC ANALYSIS OF A MULTIVARIATE REWARD PROCESS DEFINED ON THE UMCP WITH APPLICATION TO OPTIMAL PREVENTIVE MAINTENANCE POLICY PROBLEMS IN MANUFACTURING住田, 潮Huang, Jia-PingSumita, Ushio© Cambridge University Press 2013The unified multivariate counting process (UMCP), previously studied by the same authors, enables one to describe most of the existing counting processes in terms of its components, thereby providing a comprehensive view for such processes often defined separately and differently. The purpose of this paper is to study a multivariate reward process defined on the UMCP. By examining the probabilistic flow in its state space, various transform results are obtained. The asymptotic behavior, as t→∞, of the expected univariate reward process in a form of a product of components of the multivariate reward process is studied. As an application, a manufacturing system is considered, where the cumulative profit given a preventive maintenance policy is described as a univariate reward process defined on the UMCP. The optimal preventive maintenance policy is derived numerically by maximizing the cumulative profit over the time interval [0, T].Cambridge University Press2013-04engjournal articlehttp://hdl.handle.net/2241/118989https://tsukuba.repo.nii.ac.jp/records/2879410.1017/S02699648120004110269-9648AA10697861Probability in the engineering and informational sciences2702187208https://tsukuba.repo.nii.ac.jp/record/28794/files/PEIS_27-2.pdfapplication/pdf326.1 kB2013-12-25