Fundamentals of Matrix-Analytic Methods / / by Qi-Ming He

• Record Nr.: UNINA9910298570103321
• Autore: He Qi-Ming
• Pubbl/distr/stampa: New York, NY : , : Springer New York : , : Imprint : Springer, , 2014
• ISBN: 1-4614-7330-6
• Edizione: [1st ed. 2014.]
• Descrizione fisica: 1 online resource (363 p.)
• Disciplina: 003.3; 004; 004.0151; 519
• Soggetti: Computer 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
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.