MULTIPLE-SERVERS QUEUE WITH BULK ARRIVALS

Abstract

The transient and steady-state behaviour of the M/M/r queueing process with bulk arrivals is analysed. The transient behaviour is treated in terms of Laplace transforms, and steady-state behaviour - in terms of generating functions and probabilities. The influence of the bulk-size variance on the expected queue size is discussed at some length.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1968
Accession Number
AD0686643

Entities

People

  • B. Avi-itzhak
  • D. Z. Mittwoch

Organizations

  • Technion – Israel Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Equations
  • Kolmogorov Equations
  • Linear Differential Equations
  • Markov Chains
  • Mathematical Models
  • Operations Research
  • Partial Differential Equations
  • Probabilistic Models
  • Probability
  • Queueing Theory
  • Random Variables
  • Steady State
  • Stochastic Processes

Readers

  • Mathematical Modeling and Probability Theory.