Ebook: Realization Probabilities: The Dynamics of Queuing Systems

The theory of the operation of many modern man-made discrete event systems such as manufacturing systems, computer and communications networks largely belongs in the domain of queuing theory and operations research. However, some recent research indicates that the evolution of these man-made systems demonstrates dynamic features that are similar to those of natural physical systems. This monograph presents a multidisciplinary approach to the study of discrete event systems, and is complementary to textbooks in queuing and control systems theories.

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The theory of the operation of many modern man-made discrete event systems such as manufacturing systems, computer and communications networks largely belongs in the domain of queuing theory and operations research. However, some recent research indicates that the evolution of these man-made systems demonstrates dynamic features that are similar to those of natural physical systems. This monograph presents a multidisciplinary approach to the study of discrete event systems, and is complementary to textbooks in queuing and control systems theories.

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The theory of the operation of many modern man-made discrete event systems such as manufacturing systems, computer and communications networks largely belongs in the domain of queuing theory and operations research. However, some recent research indicates that the evolution of these man-made systems demonstrates dynamic features that are similar to those of natural physical systems. This monograph presents a multidisciplinary approach to the study of discrete event systems, and is complementary to textbooks in queuing and control systems theories.
Content:
Front Matter....Pages -
Introduction....Pages 1-19
Mathematical background....Pages 21-73
Realization probabilities in closed Jackson networks....Pages 75-115
Realization factors in state-dependent networks....Pages 117-167
Systems with general distributions....Pages 169-191
Multiclass networks and networks with blocking....Pages 193-239
Sensitivity analysis of generalized semi-Markov processes....Pages 241-258
Operational sensitivity analysis....Pages 259-274
Explicit formulas, algorithms, and applications to optimization....Pages 275-302
Back Matter....Pages -

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The theory of the operation of many modern man-made discrete event systems such as manufacturing systems, computer and communications networks largely belongs in the domain of queuing theory and operations research. However, some recent research indicates that the evolution of these man-made systems demonstrates dynamic features that are similar to those of natural physical systems. This monograph presents a multidisciplinary approach to the study of discrete event systems, and is complementary to textbooks in queuing and control systems theories.
Content:
Front Matter....Pages -
Introduction....Pages 1-19
Mathematical background....Pages 21-73
Realization probabilities in closed Jackson networks....Pages 75-115
Realization factors in state-dependent networks....Pages 117-167
Systems with general distributions....Pages 169-191
Multiclass networks and networks with blocking....Pages 193-239
Sensitivity analysis of generalized semi-Markov processes....Pages 241-258
Operational sensitivity analysis....Pages 259-274
Explicit formulas, algorithms, and applications to optimization....Pages 275-302
Back Matter....Pages -
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