Iterative solution methods for obtaining the steady-state probability distributions of Markovian multi-echelon repairable item inventory systems

DOI10.1016/0305-0548(93)90103-PzbMath0781.90030OpenAlexW1965616031MaRDI QIDQ1310048

Donald Gross, Bingchang Gu, Richard M. Soland

Publication date: 2 January 1994

Published in: Computers \& Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0305-0548(93)90103-p

zbMATH Keywords

gradient methodsfinite state- space continuous time Markov processessteady-state probability distributions

Mathematics Subject Classification ID

Inventory, storage, reservoirs (90B05)

Related Items (5)

Computing aviation sparing policies: solving a large nonlinear integer program ⋮ Improving the computational efficiency of metric-based spares algorithms ⋮ Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines ⋮ Models for multi-echelon repairable item inventory systems with limited repair capacity ⋮ Repairable inventory theory: Models and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Randomization Technique as a Modeling Tool and Solution Procedure for Transient Markov Processes
• Multiechelon repairable-item provisioning in a time-varying environment using the randomization technique
• Matrix Methods for Queuing Problems
• Relaxations for the numerical solutions of some stochastic problems
• On the convergence of jacobi and gauss-seidel iteration for steady-state probabilities of finite-state continuous-time markov chains

This page was built for publication: Iterative solution methods for obtaining the steady-state probability distributions of Markovian multi-echelon repairable item inventory systems