| 1 Introduction 1.1 Introduction 1.2 Symbols and Conventions 2 State Dependent Bernoulli Servers 2.1 Indistinguishable Customers 2.2 Customers of Different Types 2.3 Bernoulli Servers with Immediate Feedback 3 Closed Cycles of State Dependent Bernoulli Servers with Different Customer Types 3.1 Steady State Behaviour and Arrival Theorem 3.2 Closed Cycles of Bernoulli Servers - The Multichain Case 3.3 Delay Time Distribution for Customers in a Closed Cycle of State Independent Bernoulli Servers 3.4 Computational Algorithms for Closed Cycles of State Independent Bernoulli Servers 4 Open Tandems of State Dependent Bernoulli Servers with Different Customer Types 4.1 The Principle of Adjusted Transfer Rates 4.2 Steady State and Arrival Theorem 4.3 Delay Time Distribution for Customers in an Open Tandem of State Independent Bernoulli Servers 4.4 Re entrant Lines 5 Networks with Doubly Stochastic and Geometrical Servers 5.1 Description of the Doubly Stochastic Server 5.2 Description of the Geometrical Server 5.3 Open Networks of Doubly Stochastic and Geometrical Nodes 5.4 Stationary State for the Open Network with Doubly Stochastic and Geometrical Nodes 5.5 Performance Measures for Open Networks 5.6 Closed Networks of Doubly Stochastic and Geometrical Nodes 5.7 Open Tandems of Doubly Stochastic Nodes with State Independent Arrival Streams, and Reversibility 6 General Networks with Batch Movements and Batch Services 6.1 The General Network Model 6.2 Steady States 6.3 Related Examples and Discussion of the Model 6.4 Walrand's S-Queues and Networks 6.5 Networks with Triggered Batch Movements 7 Appendix 7.1 Time Reversed Processes 7.2 Symmetric Functions Bibliography Index |
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