EventsThe 1st International Online Conference on Mathematics and Applications
Event submissions
Published
with-doi10.3390/IOCMA2023-14432 (registering DOI)
This submission belongs to the session S7. Probability and Statistics of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarAntonio Di Crescenzo
Citation
Jing Wu, Zheng Junjun, Okamura Hiroyuki, Dohi Tadashi, Optimal Block Replacement Policies under Replacement First and Last Disciplines, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14432
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Optimal Block Replacement Policies under Replacement First and Last Disciplines

Jing Wu 1
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Zheng Junjun 2
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Okamura Hiroyuki 3
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Dohi Tadashi 3
1. 08088494479 Gradauate School of Advanced Science and Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan, 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
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
Manuscript
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