04301nam 22009135 450 991029857010332120200630025329.01-4614-7330-610.1007/978-1-4614-7330-5(CKB)3400000000129542(EBL)1398241(SSID)ssj0000986826(PQKBManifestationID)11537412(PQKBTitleCode)TC0000986826(PQKBWorkID)10941812(PQKB)11155232(DE-He213)978-1-4614-7330-5(MiAaPQ)EBC6314798(MiAaPQ)EBC1398241(Au-PeEL)EBL1398241(CaPaEBR)ebr10968963(OCoLC)857286655(PPN)172419093(EXLCZ)99340000000012954220130806d2014 u| 0engur|n|---|||||txtccrFundamentals of Matrix-Analytic Methods /by Qi-Ming He1st ed. 2014.New York, NY :Springer New York :Imprint: Springer,2014.1 online resource (363 p.)Description based upon print version of record.1-4614-7329-2 Includes bibliographical references.From Exponential Distribution to Phase-Type Distribution -- From Poisson Process to Markovian Arrival Process -- From Birth-and-Death Process to Structured Markov Chain -- Applications in Queueing Theory -- Applications in Inventory and Supply Chain Management.Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions. New materials and techniques are presented for the first time in research and engineering design. This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods. Such an approach is especially useful for engineering analysis and design. Exercises and examples are provided throughout the book.Computer science—MathematicsApplied mathematicsEngineering mathematicsOperations researchManagement scienceProbabilitiesDecision makingMathematical modelsMathematics of Computinghttps://scigraph.springernature.com/ontologies/product-market-codes/I17001Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Operations Research, Management Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M26024Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Operations Research/Decision Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/521000Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Computer science—Mathematics.Applied mathematics.Engineering mathematics.Operations research.Management science.Probabilities.Decision making.Mathematical models.Mathematics of Computing.Mathematical and Computational Engineering.Operations Research, Management Science.Probability Theory and Stochastic Processes.Operations Research/Decision Theory.Mathematical Modeling and Industrial Mathematics.003.3004004.0151519He Qi-Mingauthttp://id.loc.gov/vocabulary/relators/aut910926MiAaPQMiAaPQMiAaPQBOOK9910298570103321Fundamentals of Matrix-Analytic Methods2039133UNINA