Читать книгу Queueing Theory 2 - Nikolaos Limnios - Страница 3

1 Chapter 1Figure 1.1. A road intersected by a pedestrian crossingFigure 1.2. Plots for α = 0.5, 1.5, 2

2 Chapter 2Figure 2.1. One-lag correlation coefficient of MAPs under different scenarios. F...Figure 2.2. Selected measures for a MAP/PH/1 queue under different scenariosFigure 2.3. Tail probabilities for the sojourn time for a MAP/PH/1 queue under d...Figure 2.4. The distribution function of the sojourn time for a MAP/PH/1 queue u...Figure 2.5. Selected measures for a MAP/M/c queue under different scenariosFigure 2.6. Ratio of the mean busy period to the mean sojourn time for (simulate...Figure 2.7. Ratio of the mean queue length for MAP/PH/1 vacation to MAP/PH/1 cla...Figure 2.8. Ratio of the system idle probability for vacation and classical MAP/...Figure 2.9. The distribution functions of the sojourn time for MAP/PH/1 classica...Figure 2.10. The distribution functions of the sojourn time for MAP/PH/1 classic...Figure 2.11. Selected measures for (simulated) a BMAP/PH/c queue with a vacation...Figure 2.12. The tail probabilities of the sojourn time for (simulated) a BMAP/G...

3 Chapter 5Figure 5.1. The GE-type distribution with parametersFigure 5.2. versus n for For a color version of this figure, see www.iste.co...Figure 5.3. versus n for For a color version of this figure, see www.iste.co...Figure 5.4. versus n for | For a color version of this figure, see www.iste.co...Figure 5.5. versus n for | For a color version of this figure, see www.iste.co...Figure 5.6. versus n for For a color version of this figure, see www.iste.co...Figure 5.7. and versus n for q for original | For a color version of this fi...Figure 5.8. For a color version of this figure, see www.iste.co.uk/anisimov/q...Figure 5.9. For a color version of this figure, see www.iste.co.uk/anisimov/q...Figure 5.10. versus q for original For a color version of this figure, see w...Figure 5.11. and versus q for original For a color version of this figure,...

4 Chapter 8Figure 8.1. The evolution of an individual particle in the continuous-time Ehren...Figure 8.2. An example where a closed-form for the transient behavior is easy to...Figure 8.3. Uniformization of the M/M/1 canonical process w.r.t. the uniformizat...Figure 8.4. The Siegmund-dual of the standard birth-death process with birth rat...Figure 8.5. This is a pair (X, X*) where the dual exists under specific conditio...Figure 8.6. Process X has no dual, whatever the value of λ (and, obviously, what...Figure 8.7. The dual Z^* of the uniformization Z of the M/M/1 process, which is a...Figure 8.8. The M/M/1/H model, parameters λ and μFigure 8.9. The uniformized chain of the M/M/l/H canonical process depicted inFigure 8.10. The dual process of the M/M/1/H given in Figure 8.8Figure 8.11. The dual of the uniformized chain shown in Figure 8.9, which is als...Figure 8.12. The smallest non-trivial irreducible Markov process with two states...Figure 8.13. The M/M/1/H model with catastrophes; parameters: arrival rate λ, se...Figure 8.14. The dual of the M/M/1/H model with catastrophes is depicted in Figu...Figure 8.15. The uniformization of the dual of the M/M/1/H model with catastroph...Figure 8.16. Auxiliary 2-dimensional process YFigure 8.17. The uniformization of process Y depicted in Figure 8.16 with respec...Figure 8.18. A numerical example where λ = 0.95 and μ = 1; we plot , for level ...