Circulant preconditioners for failure prone manufacturing systems

DOI10.1016/S0024-3795(97)00001-3zbMath0891.65034MaRDI QIDQ1372968

Wai King Ching

Publication date: 3 July 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplesMarkov chainpreconditioned conjugate gradient methodcirculant preconditionerfailure prone manufacturing systems

Mathematics Subject Classification ID

Production theory, theory of the firm (91B38) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Continuous-time Markov processes on discrete state spaces (60J27) Probabilistic methods, stochastic differential equations (65C99)

Related Items (4)

Markovian approximation for manufacturing systems of unreliable machines in tandem ⋮ Iterative methods for flexible manufacturing systems ⋮ Circulant approximation for preconditioning in stochastic automata networks ⋮ Iterative methods for manufacturing systems of two stations in tandem

Uses Software

• CGS

Cites Work

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• Iterative methods for overflow queueing models. I
• Optimal control of production rate in a failure prone manufacturing system
• Optimality of Zero-Inventory Policies for Unreliable Manufacturing Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Hierarchical controls in stochastic manufacturing systems with machines in tandem
• Stochastic dynamic job shops and hierarchical production planning
• Optimality of hedging point policies in the production control of failure prone manufacturing systems
• Circulant Preconditioners for Markov-Modulated Poisson Processes and Their Applications to Manufacturing Systems
• Production rate control for failure-prone production systems with no backlog permitted

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