Approach to Evaluating Characteristics of Multichannel Loss System with FCFD Preempted Priority Discipline

TL;DR

This paper develops approximate formulas for analyzing a multichannel loss system with preemptive priority and FCFD protocol, providing exact results in special cases, enhancing understanding of system performance.

Contribution

It introduces approximate formulas for loss probability and system characteristics in a multichannel preemptive priority system with FCFD, including exact formulas for certain cases.

Findings

Derived approximate loss probability formulas

Obtained exact formulas for specific cases

Enhanced analysis of multichannel preemptive priority systems

Abstract

In the paper we consider a multichannel loss preemptive priority system with a Poisson input and general service time distribution depending on the priority of job. Jobs of the same priority are preempted according with First Come First Displaced (FCFD) protocol. Approximate formulas are obtained for the loss probability of a prescribed priority job and some other characteristics of the system. It particular cases, the obtained formulas are exact.