Ebook: Mathematical Methods in Queueing Theory: Proceedings of a Conference at Western Michigan University, May 10–12, 1973
- Tags: Mathematics general
- Series: Lecture Notes in Economics and Mathematical Systems 98
- Year: 1974
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab lishments participated in the Conference. A list of these partici pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.
Content:
Front Matter....Pages i-vii
The Markov Renewal Branching Process....Pages 1-21
Some Topics in Queueing Network Theory....Pages 23-44
Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior....Pages 45-62
Graphical Representation of Queue Evolution for Multiple-Server Systems....Pages 63-79
Wiener-Hopf Techniques in Queueing Theory....Pages 81-90
Occupation Time Problems in the Theory of Queues....Pages 91-131
Some Finite Waiting Space Bulk Queueing Systems....Pages 133-137
Some Problems in Finite Queues....Pages 139-156
Some New Results in the Statistical Analysis of Queues....Pages 157-183
On the Extension of Congestion Theorems to Multi-Channel Systems....Pages 185-197
A Theory of Traffic-Measurement Errors for Loss Systems with Renewal Input....Pages 199-229
Optimal Operation of Queues....Pages 231-261
Optimal Control of Queueing Systems....Pages 263-294
Algebraic Techniques for Numerical Solution of Queueing Networks....Pages 295-305
Heavy Traffic Limit Theorems for Queues: A Survey....Pages 307-350
Notes on Queueing Output Processes....Pages 351-358
The Single Server Queue in a Markovian Environment....Pages 359-364
On More Combinatorial Methods in the Theory of Queues....Pages 365-371
Back Matter....Pages 373-375
Content:
Front Matter....Pages i-vii
The Markov Renewal Branching Process....Pages 1-21
Some Topics in Queueing Network Theory....Pages 23-44
Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior....Pages 45-62
Graphical Representation of Queue Evolution for Multiple-Server Systems....Pages 63-79
Wiener-Hopf Techniques in Queueing Theory....Pages 81-90
Occupation Time Problems in the Theory of Queues....Pages 91-131
Some Finite Waiting Space Bulk Queueing Systems....Pages 133-137
Some Problems in Finite Queues....Pages 139-156
Some New Results in the Statistical Analysis of Queues....Pages 157-183
On the Extension of Congestion Theorems to Multi-Channel Systems....Pages 185-197
A Theory of Traffic-Measurement Errors for Loss Systems with Renewal Input....Pages 199-229
Optimal Operation of Queues....Pages 231-261
Optimal Control of Queueing Systems....Pages 263-294
Algebraic Techniques for Numerical Solution of Queueing Networks....Pages 295-305
Heavy Traffic Limit Theorems for Queues: A Survey....Pages 307-350
Notes on Queueing Output Processes....Pages 351-358
The Single Server Queue in a Markovian Environment....Pages 359-364
On More Combinatorial Methods in the Theory of Queues....Pages 365-371
Back Matter....Pages 373-375
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