Queueing theory. 2, Advanced trends /

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 mul...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Anisimov, V. I. (Vladimir Ilʹich), Limnios, N. (Nikolaos)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Hoboken : ISTE, Ltd. ; Wiley, 2020.
Colección:Sciences (Editions Eshel)
Temas:
Queuing theory.
Théorie des files d'attente.
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)
Tabla de Contenidos:
  • 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.

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