A cold system with two different components and a single vacation of the repairman

DOI10.1016/j.amc.2012.08.097zbMath1308.90059OpenAlexW1971218090WikidataQ53225457 ScholiaQ53225457MaRDI QIDQ2017934

Gen-Qi Xu, Hong-Xia Wang

Publication date: 23 March 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.097

zbMATH Keywords

stabilityreliabilitysingle vacationcold standby system\(C_0\) semigroup

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (10)

Dynamic analysis of a complex system under preemptive repeat repair discipline ⋮ Availability analysis of a repairable duplex system: a \(z\)-dependent Sokhotski-Plemelj problem ⋮ Point spectrum of the operator corresponding to a reliability model and application ⋮ Analysis of two components parallel repairable system with vacation ⋮ Numerical solution of the steady-state probability and reliability of a repairable system with three unites ⋮ A functional equation related to a repairable system subjected to priority rules ⋮ Overall availability and risk analysis of a general robot–safety device system ⋮ Reliability modeling for a repairable \((k_1, k_2)\)-out-of-\(n\): \(G\) system with phase-type vacation time ⋮ Convergence of positive operator semigroups ⋮ Reliability of Birolini's duplex system sustained by a cold standby unit and subjected to a priority rule

Cites Work

• Modelling of a deteriorating system with repair satisfying general distribution
• Well-posedness and stability of the repairable system with \(N\) failure modes and one standby unit
• Stability analysis of a complex standby system with constant waiting and different repairman criteria incorporating environmental failure
• A two-unit general parallel system with (\(n - 2\)) cold standbys -- analytic and simulation approach
• One-parameter semigroups of positive operators
• Cost and probabilistic analysis of series systems with mixed standby components
• Bilevel control of degraded machining system with warm standbys, setup and vacation
• A deteriorating cold standby repairable system with priority in use
• Reliability analysis of a three unit warm standby redundant system with repair
• Stability analysis of a new kind series system
• Tauberian Theorems and Stability of One-Parameter Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Probabilistic Analysis of a Two-Unit System with a Warm Standby and a Single Repair Facility
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