Note on History of Age Replacement Policies
This paper tries to trace our research history briefly from Barlow and Proschan to attain general replacement models. We begin with a random age replacement policy that is planned at a random time Y and call it as random replacement. When the distribution of Y becomes a degenerate distribution placi...
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International Journal of Mathematical, Engineering and Management Sciences
2018-06-01
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doaj-3ad40442090745dc924bc046f9ab6fae2020-11-25T01:18:48ZengInternational Journal of Mathematical, Engineering and Management SciencesInternational Journal of Mathematical, Engineering and Management Sciences2455-77492455-77492018-06-013215116610.33889/IJMEMS.2018.3.2-012Note on History of Age Replacement PoliciesToshio Nakagawa0Mingchih Chen1Xufeng Zhao2Department of Business Administration, Aichi Institute of Technology, Toyota 470-0392, JapanGraduate Institute of Business Administration, Fu Jen Catholic University, New Taipei City 24205, TaiwanCollege of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaThis paper tries to trace our research history briefly from Barlow and Proschan to attain general replacement models. We begin with a random age replacement policy that is planned at a random time Y and call it as random replacement. When the distribution of Y becomes a degenerate distribution placing unit mass at T, age replacement is formulated. We obtain the general formulas for optimum replacement times. We next suppose the unit works for a job with random works, and replacement policies with N cycles are discussed. As follows, we combine age and random replacement models and discuss replacement first, replacement last, replacement overtime, replacement overtime first and replacement overtime last. By formulating the distributions of replacement times with n variables, general replacement models with n replacement times are obtained.https://www.ijmems.in/assets//12-vol.-3%2c-no.-2%2c-151%E2%80%93166%2c-2018.pdfAge replacementReplacement firstReplacement lastReplacement overtimeGeneral replacement. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Toshio Nakagawa Mingchih Chen Xufeng Zhao |
spellingShingle |
Toshio Nakagawa Mingchih Chen Xufeng Zhao Note on History of Age Replacement Policies International Journal of Mathematical, Engineering and Management Sciences Age replacement Replacement first Replacement last Replacement overtime General replacement. |
author_facet |
Toshio Nakagawa Mingchih Chen Xufeng Zhao |
author_sort |
Toshio Nakagawa |
title |
Note on History of Age Replacement Policies |
title_short |
Note on History of Age Replacement Policies |
title_full |
Note on History of Age Replacement Policies |
title_fullStr |
Note on History of Age Replacement Policies |
title_full_unstemmed |
Note on History of Age Replacement Policies |
title_sort |
note on history of age replacement policies |
publisher |
International Journal of Mathematical, Engineering and Management Sciences |
series |
International Journal of Mathematical, Engineering and Management Sciences |
issn |
2455-7749 2455-7749 |
publishDate |
2018-06-01 |
description |
This paper tries to trace our research history briefly from Barlow and Proschan to attain general replacement models. We begin with a random age replacement policy that is planned at a random time Y and call it as random replacement. When the distribution of Y becomes a degenerate distribution placing unit mass at T, age replacement is formulated. We obtain the general formulas for optimum replacement times. We next suppose the unit works for a job with random works, and replacement policies with N cycles are discussed. As follows, we combine age and random replacement models and discuss replacement first, replacement last, replacement overtime, replacement overtime first and replacement overtime last. By formulating the distributions of replacement times with n variables, general replacement models with n replacement times are obtained. |
topic |
Age replacement Replacement first Replacement last Replacement overtime General replacement. |
url |
https://www.ijmems.in/assets//12-vol.-3%2c-no.-2%2c-151%E2%80%93166%2c-2018.pdf |
work_keys_str_mv |
AT toshionakagawa noteonhistoryofagereplacementpolicies AT mingchihchen noteonhistoryofagereplacementpolicies AT xufengzhao noteonhistoryofagereplacementpolicies |
_version_ |
1725140326858883072 |