NDLI: The Biconjugate Gradient Method for Obtaining the Steady-State Probability Distributions of Markovian Multiechelon Repairable Item Inventory Systems

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The Biconjugate Gradient Method for Obtaining the Steady-State Probability Distributions of Markovian Multiechelon Repairable Item Inventory Systems

Content Provider	Scilit
Author	Gross, Donald Gu, Bingchang Soland, Richard M.
Copyright Year	2021
Description	The biconjugate gradient method is used to compute the steady-state probability distribution for finite state-space continuous-time Markov processes that arise in the modeling of two-echelon repairable item inventory systems. Alternative systems of linear equations that express the steady-state conditions are examined, generation and storage of the transition rate matrix are discussed briefly, and various initializations and stopping criteria are tested. Numerical results are given for problems with up to 200,000 states. Good results are obtained with a two-phase algorithm that uses the Gauss-Seidel method first and the biconjugate gradient method subsequently. Book Name: Numerical Solution of Markov Chains
Related Links	https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781003210160-25&type=chapterpdf
Ending Page	489
Page Count	17
Starting Page	473
DOI	10.1201/9781003210160-25
Language	English
Publisher	Informa UK Limited
Publisher Date	2021-06-16
Access Restriction	Open
Subject Keyword	Book Name: Numerical Solution of Markov Chains Automotive Engineering Steady State Biconjugate Gradient Method Modeling Repairable
Content Type	Text
Resource Type	Chapter

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