Chapter 4. Advanced Queueing Theory

 

4.1 M/G/1 Queue with Vacations

4.1.1 Residual Life Approach

4.1.2 Imbedded Markov Chain Approach

4.2 M/G/1 Queue with Only One Vacation After Idle

4.3 M/G/1 Queue with Exceptional First Service

4.4 M[X]/G/1 Queue - Single Server Queue with Batch Arrivals

4.4.1 An Alternate Approach to the Analysis of the M[X]/G/1 Queue

4.5 Single Server M/G/1 Priority Queues

4.5.1 Residual Life Analysis for the Non-Preemptive Priority M/G/1 Queue

4.5.2 Residual Life Analysis for the Preemptive Resume Priority M/G/1 Queue

4.5.3 Imbedded Markov Chain Analysis for the Preemptive Resume Priority M/G/1 Queue

4.6 The Discrete Time Geo/G/1 and Geo[X]/G/1 Queues

4.6.1 The Geo/G/1 Queue

4.6.2 The Geo[X]/G/1 Queue

Problems