Queues and Point Processes

P. Franken, D. König, U. Arndt, V. Schmidt

• Verlag: De Gruyter
• Jahr: 1981
• eBook-ISBN:
  9783112780497
• Thema: Betriebswirtschaft

Keine ausführliche Beschreibung für "Queues and Point Processes" verfügbar.

Inhaltsverzeichnis

• Preface
• Contents
• 1. Random marked point processes and processes with an embedded marked point process
• 1.0. Introduction
• 1.1. Random marked point processes
• 1.2. Stationary RMPP's. The Palm distribution
• 1.3. Characterizations of the Palm distribution
• 1.4. The distribution P⁰_L
• 1.5. Processes with embedded marked point process
• 1.6. Intensity conservation principle
• 1.7. Remarks and references
• 2. Time- and customer-stationary processes for queueing systems. Existence and ergodic theorems
• 2.0. Introduction
• 2.1. Notations
• 2.2. General approach to existence, uniqueness and ergodic theorems First we shall make
• 2.3. Systems without delay
• 2.4. Systems with delay
• 2.5. Remarks and references
• 3. Continuity theorems for time- and customer-stationary quantities
• 3.0. Introduction
• 3.1. Systems without delay
• 3.2. Systems with delay
• 3.3. Remarks and references
• 4. Relationships between time- and customer-stationary quantities. I: Basic systems
• 4.0. Introduction
• 4.1. Systems with a Poisson process of arrival instants
• 4.2. Little's formulae
• 4.3. The number of customers
• 4.4. Some formulae concerning busy cycles
• 4.5. Extensions of Takács' formulae for G/G/1/∞
• 4.6. The work load in G/G/s/r
• 4.7. Repairman problem
• 4.8. Remarks and references
• 5. Relationships between time- and customer-stationary quantities. II: Further systems
• 5.0. Introduction
• 5.1. Several customer types
• 5.2. Group arrivals
• 5.3. Varying service rate
• 5.4. Uniformly bounded work load; warming up
• 5.5. Remarks and references
• 6. Insensitivity of stationary state probabilities for a class of queueing systems
• 6.0. Introduction
• 6.1. General queueing systems
• 6.2. Construction of a suitable queueing process
• 6.3. The equation system Z and the property E((I_j)_j€J)
• 6.4. The main result
• 6.5. Embedded probabilities and mean sojourn times of insensitive systems
• 6.6. Poisson output of an insensitive queueing system
• 6.7. Examples
• 6.8. The structure of insensitive queueing systems
• 6.9. Remarks and references
• Bibliography
• Result Index
• Symbol Index
• Index