Heavy Traffic Results for Single Server Queues with Dependent (EARMA) Service and Interarrival Times.

Abstract

Models are given for sequences of correlated exponential interarrival and service times for a single server queue. These multivariate exponential models are formed as probabilitic linear combinations of sequences of independent exponential random variables and are easy to generate on a computer. Limiting results for customer waiting time under heavy traffic conditions are obtained for these queues. Heavy traffic results are useful for analyzing the effect of correlated interarrival and service times in queues on such quantities as queue length and customer waiting time. They can also be used to check simulation results. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA070086

Entities

People

  • P. A. Jacobs

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • California
  • Computer Science
  • Convergence
  • Engineering
  • Logistics Management
  • Mathematics
  • Military Research
  • New York
  • North Carolina
  • Operations Research
  • Probability
  • Public Health
  • Random Variables
  • Sequences
  • Simulations
  • Statistics
  • Theorems

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.