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Article: Iterative methods for manufacturing systems of two stations in tandem

TitleIterative methods for manufacturing systems of two stations in tandem
Authors
KeywordsManufacturing System
Preconditioner Conjugate Gradient Method
Steady State Distribution
Issue Date1998
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/aml
Citation
Applied Mathematics Letters, 1998, v. 11 n. 1, p. 7-12 How to Cite?
AbstractThis paper studies the application of Preconditioned Conjugate Gradient (PCG) methods in solving the steady state probability distribution of two-station manufacturing systems under hedging point production policy. The manufacturing system produces one type of product, and its demand is modeled as a Poisson process. Preconditioner is constructed by taking circulant approximation of the generator matrix of the system. We prove that the preconditioned linear system has singular values clustered around one when the number of inventory levels tends to infinity. Hence, conjugate gradient methods will converge very fast when applied to the solution of the preconditioned linear system. Numerical examples are given to verify our claim.
Persistent Identifierhttp://hdl.handle.net/10722/156038
ISSN
2015 Impact Factor: 1.659
2015 SCImago Journal Rankings: 1.141
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChing, WKen_US
dc.date.accessioned2012-08-08T08:40:09Z-
dc.date.available2012-08-08T08:40:09Z-
dc.date.issued1998en_US
dc.identifier.citationApplied Mathematics Letters, 1998, v. 11 n. 1, p. 7-12en_US
dc.identifier.issn0893-9659en_US
dc.identifier.urihttp://hdl.handle.net/10722/156038-
dc.description.abstractThis paper studies the application of Preconditioned Conjugate Gradient (PCG) methods in solving the steady state probability distribution of two-station manufacturing systems under hedging point production policy. The manufacturing system produces one type of product, and its demand is modeled as a Poisson process. Preconditioner is constructed by taking circulant approximation of the generator matrix of the system. We prove that the preconditioned linear system has singular values clustered around one when the number of inventory levels tends to infinity. Hence, conjugate gradient methods will converge very fast when applied to the solution of the preconditioned linear system. Numerical examples are given to verify our claim.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/amlen_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.subjectManufacturing Systemen_US
dc.subjectPreconditioner Conjugate Gradient Methoden_US
dc.subjectSteady State Distributionen_US
dc.titleIterative methods for manufacturing systems of two stations in tandemen_US
dc.typeArticleen_US
dc.identifier.emailChing, WK:wching@hku.hken_US
dc.identifier.authorityChing, WK=rp00679en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0893-9659(97)00124-9-
dc.identifier.scopuseid_2-s2.0-0002042338en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0002042338&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume11en_US
dc.identifier.issue1en_US
dc.identifier.spage7en_US
dc.identifier.epage12en_US
dc.identifier.isiWOS:000071361800002-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChing, WK=13310265500en_US

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