Skip to main content

2014 | OriginalPaper | Buchkapitel

6. Random Parallel Systems

verfasst von : Toshio Nakagawa

Erschienen in: Random Maintenance Policies

Verlag: Springer London

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

High system reliability can be achieved by redundancy and maintenance. The most typical model is a standard parallel system which consists of \(n\) identical units in parallel. It was originally shown that the system can operate for a specified mean time by either changing the replacement time or increasing the number of units [1, p. 65]. There liabilities of many redundant systems were computed and summarized [2]. A variety of redundant systems with multiple failure modes and their optimization problems were discussed [3]. Reliabilities of parallel and parallel-series systems with dependent failures of components were derived [4]. Some optimization methods of redundancy allocation for series-parallel systems were studied [5]. A good survey of multistate and consecutive \(k\)-out-of-\(n\) systems was done [6, 7].

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Barlow RE, Proschan F (1965) Mathematical theory of reliability. Wiley, New York Barlow RE, Proschan F (1965) Mathematical theory of reliability. Wiley, New York
3.
Zurück zum Zitat Pham H (2003) Reliability of systems with multiple failure mode. In: Pham H (ed) Handbook of reliability engineering. Springer, London, pp 19–36CrossRef Pham H (2003) Reliability of systems with multiple failure mode. In: Pham H (ed) Handbook of reliability engineering. Springer, London, pp 19–36CrossRef
4.
Zurück zum Zitat Blokus A (2006) Reliability analysis of large systems with dependent component. Inter J Reliab Qual Saf Eng 13:1–14CrossRef Blokus A (2006) Reliability analysis of large systems with dependent component. Inter J Reliab Qual Saf Eng 13:1–14CrossRef
5.
Zurück zum Zitat Zia L, Coit DW (2010) Redundancy allocation for series parallel systems using a column generation approach. IEEE Trans Reliab 59:706–717CrossRef Zia L, Coit DW (2010) Redundancy allocation for series parallel systems using a column generation approach. IEEE Trans Reliab 59:706–717CrossRef
6.
Zurück zum Zitat Zuo MJ, Huang J, Kuo W (2003) Multi-state \(k\)-out-of-\(n\) systems. In: Pham H (ed) Handbook of reliability engineering. Springer, London, pp 3–17CrossRef Zuo MJ, Huang J, Kuo W (2003) Multi-state \(k\)-out-of-\(n\) systems. In: Pham H (ed) Handbook of reliability engineering. Springer, London, pp 3–17CrossRef
7.
Zurück zum Zitat Chang GJ, Cui L, Hwang FK (2000) Reliability of consecuitive-\(k\) systems. Kluwer, Dordrecht Chang GJ, Cui L, Hwang FK (2000) Reliability of consecuitive-\(k\) systems. Kluwer, Dordrecht
8.
Zurück zum Zitat Nakagawa T (2008) Advanced reliability models and maintenance policies. Springer, London Nakagawa T (2008) Advanced reliability models and maintenance policies. Springer, London
9.
Zurück zum Zitat Nakagawa T, Yun WY (2011) Note on MTTF of a parallel system. Inter J Reliab Qual Saf Eng 18:1–8 Nakagawa T, Yun WY (2011) Note on MTTF of a parallel system. Inter J Reliab Qual Saf Eng 18:1–8
10.
Zurück zum Zitat Nakagawa T, Zhao X (2012) Optimization problems of a parallel system with a random number of units. IEEE Trans Reliab 61:543–548CrossRef Nakagawa T, Zhao X (2012) Optimization problems of a parallel system with a random number of units. IEEE Trans Reliab 61:543–548CrossRef
11.
Zurück zum Zitat Chen M, Mizutani S, Nakagawa T (2010) Random and age replacement policies. Inter J Reliab Qual Saf Eng 17:27–39CrossRef Chen M, Mizutani S, Nakagawa T (2010) Random and age replacement policies. Inter J Reliab Qual Saf Eng 17:27–39CrossRef
12.
Zurück zum Zitat Nakagawa T, Zhao X, Yun WY (2011) Optimal age replacement and inspection policies with random failure and replacement time. Inter J reliab Qual Saf Eng 18:405–416CrossRef Nakagawa T, Zhao X, Yun WY (2011) Optimal age replacement and inspection policies with random failure and replacement time. Inter J reliab Qual Saf Eng 18:405–416CrossRef
13.
Zurück zum Zitat Zhao X, Nakagawa T (2012) Optimization problems of replacement first or last in reliability theory. Euro J Oper Res 223:141–149CrossRefMATHMathSciNet Zhao X, Nakagawa T (2012) Optimization problems of replacement first or last in reliability theory. Euro J Oper Res 223:141–149CrossRefMATHMathSciNet
14.
Zurück zum Zitat Havil J (2003) GAMMA: Exploring Euler’s constant. Princeton Univ Press, Princeton Havil J (2003) GAMMA: Exploring Euler’s constant. Princeton Univ Press, Princeton
15.
Zurück zum Zitat Nakagawa T (2011) Stochastic processes with applications to reliability theory. Springer, LondonMATH Nakagawa T (2011) Stochastic processes with applications to reliability theory. Springer, LondonMATH
16.
Zurück zum Zitat Nakagawa T (2005) Maintenance theory of reliability. Springer, London Nakagawa T (2005) Maintenance theory of reliability. Springer, London
17.
Zurück zum Zitat Kotz S, Nadarajah S (2000) Extreme value distribution. Imperial College, LondonCrossRef Kotz S, Nadarajah S (2000) Extreme value distribution. Imperial College, LondonCrossRef
Metadaten
Titel
Random Parallel Systems
verfasst von
Toshio Nakagawa
Copyright-Jahr
2014
Verlag
Springer London
DOI
https://doi.org/10.1007/978-1-4471-6575-0_6

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.