1: The Queueing Paradigm -- 1.1 Introduction -- 1.2 Queueing Theory -- 1.3 Queueing Models -- 1.4 Case Study I: Performance Model of a Distributed File Service -- 1.5 Case Study II: Single-bus Multiprocessor Modeling -- 1.6 Case Study III: TeraNet, A Lightwave Network -- 1.7 Case Study IV: Performance Model of a Shared Medium Packet Switch -- 2: Single Queueing Systems -- 2.1 Introduction -- 2.2 The M/M/ 1 Queueing System -- 2.3 Little's Law -- 2.4 Reversibility and Burke's Theorem -- 2.5 The State Dependent M/M/1 Queueing System -- 2.6 The M/M/1/N Queueing System: The Finite Buffer Case -- 2.7 The M/M/? Queueing System: Infinite Number of Servers -- 2.8 The M/M/m Queueing System: m Parallel Servers with a Queue -- 2.9 The M/M/m/m Queue: A Loss System -- 2.10 Central Server CPU Model -- 2.11 Transient Solution of the M/M/1/? Queueing System -- 2.12 The M/G/1 Queueing System -- 2.13 Priority Systems for Multiclass Traffic -- To Look Further -- Problems -- 3: Networks of Queues -- 3.1 Introduction -- 3.2 The Product Form Solution -- 3.3 Algebraic Topological Interpretation of the Product Form Solution -- 3.4 Recursive Solution of Nonproduct Form Networks -- 3.5 Queueing Networks with Negative Customers -- To Look Further -- Problems -- 4: Numerical Solution of Models -- 4.1 Introduction -- 4.2 Closed Queueing Networks: Convolution Algorithm -- 4.3 Mean Value Analysis -- 4.4 PANACEA: Approach for Large Markovian Queueing Networks -- 4.5 Norton's Equivalent for Queueing Networks -- 4.6 Simulation of Communication Networks -- To Look Further -- Problems -- 5: Stochastic Petri Nets -- 5.1 Introduction -- 5.2 Bus-oriented Multiprocessor Model -- 5.3 Toroidal MPN Lattices -- 5.4 The Dining Philosophers Problem -- 5.5 A Station-oriented CSMA/CD Protocol Model -- 5.6 The Alternating Bit Protocol -- 5.7 SPN's without Product Form Solutions -- 5.8 Conclusion -- To Look Further -- Problems -- 6: Discrete Time Queueing Systems -- 6.1 Introduction -- 6.2 Discrete Time Queueing Systems -- 6.3 Discrete Time Arrival Processes -- 6.4 The Geom/Geom/m/N Queueing System -- 6.5 The Geom/Geom/1/N and Geom/Geom/1 Queueing Systems -- 6.6 Case Study I: Queueing on a Space Division Packet Switch -- 6.7 Case Study II: Queueing on a Single-buffered Banyan Network -- 6.8 Case Study III: DQDB Erasure Station Location -- To Look Further -- Problems -- Appendix: Probability Theory Review -- A.1 Probability -- A.2 Densities and Distribution Functions -- A.3 Joint Densities and Distributions -- A.4 Expectations -- A.5 Convolution -- A.6 Combinatorics -- A.7 Some Useful Summations -- A.8 Useful Moment-generating Function Identities -- References.