A numerical method for a nonlocal hyperbolic model arising from a reliability system

DOI10.1016/S0898-1221(04)90012-0zbMath1055.65146MaRDI QIDQ1433094

J. Derouen, Azmy S. Ackleh, Wei Li, Keng Deng

Publication date: 15 June 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesGauss-Seidel iterationsystem of integral equationsnonlocal hyperbolic reliability model

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonsingular linear integral equations (45F05)

Related Items (3)

Stability analysis of a complex standby system with constant waiting and different repairman criteria incorporating environmental failure ⋮ Numerical solution of the steady-state probability and reliability of a repairable system with three unites ⋮ On computation of bounds of the bifurcation parameter for a non-local elliptic equation with increasing nonlinearity

Cites Work

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• Availability analysis of a two-unit series system with shut-off rule and ``first-fail, first repaired
• Stochastic scheduling on a repairable machine with Erlang uptime distribution
• Solvability of a non-local hyperbolic model arising from a reliability system
• Calculating the Rate of Occurrence of Failures for Continuous-time Markov Chains with Application to a Two-component Parallel System
• Stochastic analysis of a priority unit standby system with repair machine failure
• Analysis of a two-component series system with a geometric process model
• A two-unit system with correlated failures and repairs, and random appearance and disappearance of repairman
• Availability analysis of a two-unit series system with a priority shut-off rule

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