Non-Markovian State-Dependent Networks in Critical Loading

Abstract

We establish heavy traffic limit theorems for queue-length processes in critically loaded single class queueing networks with state-dependent arrival and service rates. A distinguishing feature of our model is non-Markovian state dependence. The limit stochastic process is a continuous-path reflected process on the nonnegative orthant. We give an application to generalised Jackson networks with state-dependent rates.

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Document Details

Document Type
Technical Report
Publication Date
Jan 23, 2013
Accession Number
ADA604423

Entities

People

  • Anatolii A. Puhalski
  • Chihoon Lee

Organizations

  • Colorado State University

Tags

DTIC Thesaurus Topics

  • Brownian Motion
  • Coefficients
  • Computer Networks
  • Continuity
  • Convergence
  • Diffusion
  • Diffusion Coefficient
  • Electronic Mail
  • Equations
  • Intervals
  • Networks
  • Probability
  • Queueing Theory
  • Random Variables
  • Stochastic Processes
  • Time Intervals
  • Weak Convergence

Fields of Study

  • Computer science

Readers

  • Mathematical Modeling and Probability Theory.