On limiting characteristics for a non-stationary two-processor heterogeneous system

TL;DR

This paper analyzes a non-stationary queueing model with two heterogeneous processors, deriving bounds on convergence rates and key limiting characteristics of the queue length to understand system behavior over time.

Contribution

It introduces new bounds on convergence rates and identifies main limiting characteristics for a non-stationary two-processor heterogeneous queueing system.

Findings

Derived bounds on the rate of convergence.

Identified main limiting characteristics of the queue-length process.

Provided insights into the system's long-term behavior.

Abstract

In this paper we study a non-stationary Markovian queueing model of a two-processor heterogeneous system with time-varying arrival and service rates. We obtain the bounds on the rate of convergence and find the main limiting characteristics of the queue-length process.