Accession Number:

ADA604423

Title:

Non-Markovian State-Dependent Networks in Critical Loading

Descriptive Note:

Technical rept.

Corporate Author:

COLORADO STATE UNIV FORT COLLINS

Personal Author(s):

• Lee, Chihoon
• Puhalski, Anatolii A.

Report Date:

2013-01-23

Pagination or Media Count:

21.0

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.

Descriptors:

• *NETWORKS
• *QUEUEING THEORY
• *STOCHASTIC PROCESSES
• LIMITATIONS
• MODELS
• RATES
• TRAFFIC

Subject Categories:

• Statistics and Probability
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE