Multiple availability on stochastic demand

Stochastic models for multiple availability are analyzed for a system with periods of operation and repair that form an alternating process. The system is defined as available in time interval (0, T] if it is available at each moment of demand. System unavailability at the moment of demand is called...

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Bibliographic Details
Published in:IEEE transactions on reliability 1999-03, Vol.48 (1), p.19-24
Main Author: Finkelstein, M.S.
Format: Article
Language:English
Subjects:
Applied sciences
Approximation
Availability
Breakdown
Demand
Density functional theory
Electric breakdown
Exact sciences and technology
Exponential distribution
Hazards
Integral equations
Marketing
Operational research and scientific management
Operational research. Management science
Reliability theory. Replacement problems
Repair
Stochastic processes
Stochastic systems
Stochasticity
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Summary:Stochastic models for multiple availability are analyzed for a system with periods of operation and repair that form an alternating process. The system is defined as available in time interval (0, T] if it is available at each moment of demand. System unavailability at the moment of demand is called a breakdown. The approximate probability of functioning without breakdowns is derived and analyzed for the nonhomogeneous Poisson point process of demand. Specific cases, which can be of interest in practical applications, are investigated. The integral equation for the multiple availability for arbitrary Cdf's of periods of operation and repair is developed.
ISSN:0018-9529
1558-1721
DOI:10.1109/24.765923