Optimal Block Replacement Policies under Replacement First and Last Disciplines

¹ 08088494479 Gradauate School of Advanced Science and Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan
² Graduate School of Information Science and Technology, Osaka University, 1-5 Yamadaoka, Suita, Osaka 565-0871, Japan
³ Gradauate School of Advanced Science and Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan

Academic Editor: Antonio Di Crescenzo

Published: 28 April 2023 by MDPI in The 1st International Online Conference on Mathematics and Applications session Probability and Statistics

https://doi.org/10.3390/IOCMA2023-14432 (registering DOI)

Abstract:

In this paper, we consider simple opportunity-based block replacement problems, where the inter-arrival times of replacement opportunities arrvie randomly. We give two replacement models under replacement first and replacement last disciplines in the sense of Zhao and Nakagawa (2012). Then, we derivethe optimal opportunity-based block replacemnt policies under replacement first and replacement last disciples. Furthermore, numerical examples are presented to compare these repacement polices.

Keywords: Opportunity-based block replacement, Expected cost functions, Replacement first/last disciplines

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