TY - JOUR ID - 133605 TI - On discounted discrete scheduled replacement model JO - Annals of Optimization Theory and Practice JA - AOTP LA - en SN - 2588-3666 AU - Waziri, Tijjani A AD - School of Continuing Education, Bayero University Kano, Nigeria Y1 - 2021 PY - 2021 VL - 4 IS - 2 SP - 69 EP - 82 KW - category KW - Discounted KW - Discrete KW - optimal KW - Repair DO - 10.22121/aotp.2021.283204.1065 N2 - 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. UR - https://aotp.fabad-ihe.ac.ir/article_133605.html L1 - https://aotp.fabad-ihe.ac.ir/article_133605_e5d0423ea94c196c8d26e8d72aad1730.pdf ER -