Level Crossing Methods in Stochastic Models
Brill, Percy H.
creator
SpringerLink (Online service)
xxu
Boston
Springer
Springer
2008
eng
XXVI, 482 p. digital.
Since its inception in 1974, the level crossing approach for analyzing a large class of stochastic models has become increasingly popular among researchers. This volume traces the evolution of level crossing theory for obtaining probability distributions of state variables and demonstrates solution methods in a variety of stochastic models including: queues, inventories, dams, renewal models, counter models, pharmacokinetics, and the natural sciences. Results for both steady-state and transient distributions are given, and numerous examples help the reader apply the method to solve problems faster, more easily, and more intuitively. The book includes introductory material for readers new to the area, as well as advanced material for experienced users of the method, highlighting its usefulness for analyzing a broad class of models and illustrating its flexibility and adaptivity. The concepts, techniques, examples, applications and theoretical results in this book may suggest potentially new theory and new applications. The result is an essential resource for researchers, students, and professionals in operations research, management science, engineering, applied probability, statistics, actuarial science, mathematics, and the natural sciences.   ;
Preface -- Origin of level crossing method -- Sample path and system point -- M/G/1 queues and variants -- M/M/C queues -- G/M/c queues -- Dams and inventories -- Multi-dimensional models -- Embedded level crossing methods -- Level crossing estimation -- Additional applications -- References -- Partial bibliography -- Index .
by Percy H. Brill.
Mathematics
Computer system performance
Distribution (Probability theory)
Industrial engineering
Mathematics
Business logistics
Mathematical models
Mathematical Modeling and Industrial Mathematics
Probability Theory and Stochastic Processes
Operations Research/Decision Theory
Industrial and Production Engineering
Production/Logistics
System Performance and Evaluation
International Series in Operations Research & Management Science, 123
Springer eBooks
International series in operations research & management science; 123
9780387094212
http://dx.doi.org/10.1007/978-0-387-09421-2
http://dx.doi.org/10.1007/978-0-387-09421-2
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20221213140637.0
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