Level Crossing Methods in Stochastic Models [electronic resource] / by Percy H. Brill.

By: Brill, Percy H [author.]
Contributor(s): SpringerLink (Online service)
Material type: TextTextSeries: International Series in Operations Research & Management Science: 123Publisher: Boston, MA : Springer US : Imprint: Springer, 2008Description: XXV, 480 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387094212Subject(s): Mathematics | Production management | Operations research | Decision making | Computer system failures | Mathematical models | Probabilities | Industrial engineering | Production engineering | Mathematics | Mathematical Modeling and Industrial Mathematics | Probability Theory and Stochastic Processes | Operation Research/Decision Theory | Industrial and Production Engineering | Operations Management | System Performance and EvaluationAdditional physical formats: Printed edition:: No titleDDC classification: 003.3 LOC classification: TA342-343Online resources: Click here to access online
Contents:
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 Method -- Level Crossing Estimation -- Additional Applications.
In: Springer eBooksSummary: 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. .
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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 Method -- Level Crossing Estimation -- Additional Applications.

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. .

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