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Queueing theory. 2, Advanced trends

Anisimov, V. I. (Vladimir Ilʹich)

Queueing theory. 2, Advanced trends

Anisimov, V. I. (Vladimir Ilʹich)

9781119755234

9781119755210

9781789450040

1 online resource (328 pages)

Sciences

Sciences (Editions Eshel)

1.8. Queueing system with a preemptive priority discipline -- 1.9. Queueing system with simultaneous service of a customer by a random number of servers -- 1.10. Applications to transport systems analysis -- 1.11. Conclusion -- 1.12. Acknowledgment -- 1.13. References -- 2 Queueing Models in Services -- Analytical and Simulation Approach -- 2.1. Introduction -- 2.2. Phase-type distributions and the batch Markovian arrival process -- 2.2.1. Phase-type distributions -- 2.2.2. Some useful results related to continuous PH distributions -- 2.2.3. The batch Markovian arrival process

2.3. Generation of MAP processes for numerical purposes -- 2.4. Analysis of selected queueing models of BMAP/G/c type -- 2.4.1. MAP/PH/1 queueing model -- 2.4.2. The system performance measures -- 2.4.3. Illustrative numerical examples for MAP/PH/1 -- 2.4.4. MAP/M/c queueing model -- 2.4.5. The system performance measures -- 2.4.6. Illustrative numerical examples for MAP/M/c -- 2.5. Simulated models of BMAP/G/c type queues -- 2.5.1. Simulated model validation using MAP/M/c type queues -- 2.5.2. Simulated model validation using MAP/PH/1 type queues

2.5.3. Selected simulated models of BMAP/G/c type queues -- 2.6. Analysis of selected queueing models of BMAP/G/c type with a vacation -- 2.6.1. MAP/PH/1 queueing model with a vacation -- 2.6.2. The system performance measures -- 2.6.3. Illustrative numerical examples for MAP/PH/1 with a vacation -- 2.6.4. Validation of simulated model for vacation type queues -- 2.6.5. Selected simulated models of BMAP/G/c type queues with a -- 2.7. Acknowledgment -- 2.8. References -- 3 Distributions and Random Processes Related to Queueing and Reliability Models

3.1. Some useful notations, relationships and interpretations -- 3.2. Unreliable service model and reliability maintenance -- 3.3. Characterizations of exponential and geometric distributions via properties of service times -- 3.3.1. Instant repairs: characterization of geometric distribution -- 3.3.2. Instant repairs: characterizations of the exponential distribution -- 3.3.3. Various simplifying conditions -- 3.3.4. Unreliable service, repair times included -- 3.4. Probability distributions almost having lack of memory property

3.4.1. Service time on an unreliable server: instantaneous repairs.

The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This second volume includes eight chapters written by experts wellknown in their areas. The book conducts a stability analysis of certain types of multiserver regenerative queueing systems; a transient evaluation of Markovian queueing systems, focusing on closed-form distributions and numerical techniques; analysis of queueing models in service sectors using analytical and simulation approaches; plus an investigation of probability distributions in queueing models and their use in economics, industry, demography and environmental studies. This book also considers techniques for the control of information in queueing systems and their impact on strategic customer behavior, social welfare and the revenue of monopolists. In addition, applications of maximum entropy methods of inference for the analysis of a stable M/G/1 queue with heavy tails, and inventory models with positive service time - including perishable items and stock supplied using various algorithmic control policies ((s; S); (r;Q), etc.).

John Wiley and Sons

Queuing theory.

Théorie des files d'attente.

Queuing theory

Anisimov, V. I. (Vladimir Ilʹich)

Limnios, N. (Nikolaos)

https://onlinelibrary.wiley.com/doi/book/10.1002/9781119755234