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On the Use of Stochastic Processes in Modeling Reliability Problems

Aus der Reihe Lecture Notes in Economics and Mathematical Systems

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.09.1985

Verlag

Springer Berlin

Seitenzahl

105

Maße (L/B/H)

23,5/15,5/0,6 cm

Gewicht

189 g

Sprache

Englisch

ISBN

978-3-540-15699-4

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.09.1985

Verlag

Springer Berlin

Seitenzahl

105

Maße (L/B/H)

23,5/15,5/0,6 cm

Gewicht

189 g

Sprache

Englisch

ISBN

978-3-540-15699-4

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: On the Use of Stochastic Processes in Modeling Reliability Problems
  • Produktbild: On the Use of Stochastic Processes in Modeling Reliability Problems
  • 1 Introduction and summary.- 2 Basic concepts of reliability analysis.- 2.1 Mission profile, reliability block diagram.- 2.2 Failure rate.- 2.3 Reliability function, MTTF, MTBF.- 2.4 More general considerations on the concept of redundancy.- 2.5 Failure mode analysis and other reliability assurance tasks.- 3 Stochastic processes used in modeling reliability problems.- 3.1 Renewal processes.- 3.1.1 Definition and general properties.- 3.1.2 Renewal function and renewal density.- 3.1.3 Forward and backward recurrence-times.- 3.1.4 Asymptotic and stationary behaviour.- 3.1.5 Poisson process.- 3.2 Alternating renewal processes.- 3.3 Markov processes with a finite state space.- 3.3.1 Definition and general properties.- 3.3.2 Transition rates.- 3.3.3 State probabilities.- 3.3.4 Asymptotic and stationary behaviour.- 3.3.5 Summary of important relations for Markov models.- 3.4 Semi-Markov processes with a finite state space.- 3.4.1 Definition and general properties.- 3.4.2 At t = 0 the process enters the state Zi.- 3.4.3 Stationary semi-Markov processes.- 3.5 Regenerative stochastic processes.- 3.6 Non-regenerative stochastic processes.- 4 Applications to one-item repairable structures.- 4.1 Reliability function.- 4.2 Point-availability.- 4.3 Interval-reliability.- 4.4 Mission-oriented availabilities.- 4.4.1 Average-availability.- 4.4.2 Joint-availability.- 4.4.3 Mission-availability.- 4.4.4 Work-mission-availability.- 4.5 Asymptotic behaviour.- 4.6 Stationary state.- 5 Applications to series, parallel, and series/parallel repairable structures.- 5.1 Series structures.- 5.1.1 Constant failure and repair rates.- 5.1.2 Constant failure rates and arbitrary repair rates.- 5.1.3 Arbitrary failure and repair rates.- 5.2 1-out-of-2 redundancies.- 5.2.1 Constant failure and repair rates.- 5.2.2 Constant failure rates and arbitrary repair rate.- 5.2.3 Influence of the repair times density shape.- 5.2.4 Constant failure rate in the reserve state, arbitrary failure rate in the operating state, and arbitrary repair rates.- 5.2.4.1 At t = 0 the system enters the regeneration state, Z1.- 5.2.4.2 At t= 0 the system enters the state Z0.- 5.2.4.3 Solution for some particular cases.- 5.3 k-out-of-n redundancies.- 5.3.1 Constant failure and repair rates.- 5.3.2 Constant failure rates and arbitrary repair rate.- 5.4 Series/parallel structures.- 5.4.1 Constant failure and repair rates.- 5.4.2 Constant failure rates and arbitrary repair rate.- 6 Applications to repairable systems of complex structure and to special topics.- 6.1 Repairable systems having complex structure.- 6.2 Influence of preventive maintenance.- 6.2.1 One-item repairable structures.- 6.2.2 1-out-of-2 redundancy with hidden failures.- 6.3 Influence of imperfect switching.- References.