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List of Figures | p. v |
Preface | p. ix |
Introduction to Design Models | p. 1 |
Optimal Service Rate | p. 3 |
Optimal Arrival Rate | p. 6 |
Optimal Arrival Rate and Service Rate | p. 13 |
Optimal Arrival Rates for a Two-Class System | p. 16 |
Optimal Arrival Rates for Parallel Queues | p. 21 |
Endnotes | p. 26 |
Optimal Arrival Rates in a Single-Class Queue | p. 29 |
A Model with General Utility and Cost Functions | p. 29 |
Generalizations of Basic Model | p. 42 |
GI/GI/1 Queue with Probabilistic Joining Rule | p. 45 |
Uniform Value Distribution: Stability | p. 68 |
Power Criterion | p. 72 |
Bidding for Priorities | p. 77 |
Endnotes | p. 80 |
Dynamic Adaptive Algorithms: Stability and Chaos | p. 83 |
Basic Model | p. 84 |
Discrete-Time Dynamic Adaptive Model | p. 85 |
Discrete-Time Dynamic Algorithms: Variants | p. 98 |
Continuous-Time Dynamic Adaptive Algorithms | p. 101 |
Continuous-Time Dynamic Algorithm: Variants | p. 106 |
Endnotes | p. 107 |
Optimal Arrival Rates in a Multiclass Queue | p. 109 |
General Multiclass Model: Formulation | p. 109 |
General Multiclass Model: Optimal Solutions | p. 113 |
General Multiclass Model: Dynamic Algorithms | p. 124 |
Waiting Costs Dependent on Total Arrival Rate | p. 129 |
Linear Utility Functions: Class Dominance | p. 134 |
Examples with Different Utility Functions | p. 153 |
Multiclass Queue with Priorities | p. 158 |
Endnotes | p. 170 |
Figures for FIFO Examples | p. 172 |
Optimal Service Rates in a Single-Class Queue | p. 177 |
The Basic Model | p. 178 |
Models with Fixed Toll and Fixed Arrival Rate | p. 182 |
Models with Variable Toll and Fixed Arrival Rate | p. 184 |
Models with Fixed Toll and Variable Arrival Rate | p. 185 |
Models with Variable Toll and Variable Arrival Rate | p. 199 |
Endnotes | p. 215 |
Multi-Facility Queueing Systems: Parallel Queues | p. 217 |
Optimal Arrival Rates | p. 217 |
Optimal Service Rates | p. 255 |
Optimal Arrival Rates and Service Rates | p. 258 |
Endnotes | p. 277 |
Single-Class Networks of Queues | p. 279 |
Basic Model | p. 279 |
Individually Optimal Arrival Rates and Routes | p. 280 |
Socially Optimal Arrival Rates and Routes | p. 282 |
Comparison of S.O. and Toll-Free I.O. Solutions | p. 284 |
Facility Optimal Arrival Rates and Routes | p. 307 |
Endnotes | p. 314 |
Multiclass Networks of Queues | p. 317 |
General Model | p. 317 |
Fixed Routes: Optimal Solutions | p. 330 |
Fixed Routes: Dynamic Adaptive Algorithms | p. 334 |
Fixed Routes: Homogeneous Waiting Costs | p. 338 |
Variable Routes: Homogeneous Waiting Costs | p. 339 |
Endnotes | p. 342 |
Scheduling a Single-Server Queue | p. 343 |
Strong Conservation Laws | p. 343 |
Work-Conserving Scheduling Systems | p. 344 |
GI/GI/1 WCSS with Nonpreemptive Scheduling Rules | p. 351 |
GI/GI/1 Queue: Preemptive-Resume Scheduling Rules | p. 355 |
Endnotes | p. 357 |
References | p. 359 |
Index | p. 369 |
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