On a Markovian Deteriorating Model with Multiple Imperfect Repair

• TAMURA Nobuyuki

  中央大学理工学部経営システム工学科:(現)防衛大学校

Bibliographic Information

Other Title

• 複数の不完全修理を考慮したマルコフ的劣化モデルについて
• フクスウ ノ フカンゼン シュウリ オ コウリョ シタ マルコフテキ レッカ モデル ニ ツイテ

Abstract

This paper considers a system which is inspected at equally spaced points in time and whose deterioration follows a discrete-time Markov chain with an absorbing state. After each inspection, one of the following actions can be taken: operation, imperfect repair m (1&le;m&le;M) or replacement. When imperfect repair m is taken, the system in state i moves to state j with probability q^m_<ij>. We study an optimal maintenance policy which minimizes the expected total discounted cost for infinite horizon. It is shown that a generalized control limit policy is optimal. We investigate some properties of the optimal policy from the point of multiple repair. Furthermore, numerical analysis is conducted.

Journal

• The Journal of Reliability Engineering Association of Japan

  The Journal of Reliability Engineering Association of Japan 26 (7), 699-709, 2004

  Reliability Engineering Association of Japan

Keywords

• Markov chain
• imperfect repair
• expected total discounted cost
• optimal maintenance policy
• control limit policy

Details

• CRID: 1390001204453520768
• NII Article ID: 110007483670
• NII Book ID: AN10540883
• DOI: 10.11348/reajshinrai.26.7_699
• ISSN: 24242543
• ISSN: 09192697
• NDL BIB ID: 7157717
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7157717
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
• Abstract License Flag: Disallowed