%0 Journal Article
%T On discounted discrete scheduled replacement model
%J Annals of Optimization Theory and Practice
%I Firouzabad Institute of Higher Education
%Z 2588-3666
%A Waziri, Tijjani A
%D 2021
%\ 07/31/2021
%V 4
%N 2
%P 69-82
%! On discounted discrete scheduled replacement model
%K category
%K Discounted
%K Discrete
%K optimal
%K Repair
%R 10.22121/aotp.2021.283204.1065
%X An operating unit sometimes cannot be replaced at the exact optimum replacement time for some reasons. The unit may be rather replaced at idle times, such as a day, a week, a month, a year and so on. So to address such problem of replacing a unit at idle times, this paper come up with a discounted discrete scheduled replacement model for a unit. It is assumed that the replacement is at scheduled times NT(N=1,2,3,…) for a fixed T>0, such that the model constructed involves minimal repair and discounting rate (∝ >0). The unit considered in this paper is subjected to three categories of failures, which are Category I, Category II and Category III failures. Category I failure is an un-repairable one, which occurs suddenly. While Category II and Category III failures are both repairable, which occurs due to time and usage, and the two failures are minimally repaired. A numerical example is provided, so as to investigate the characteristics of the model presented and determine the optimal discrete replacement time (N^*) of the unit.
%U http://aotp.fabad-ihe.ac.ir/article_133605_e5d0423ea94c196c8d26e8d72aad1730.pdf