Approach to Express The Second Moment with A Class of Stochastic Completion Time

TL;DR

This paper introduces a method to calculate the second moment of completion time for jobs processed on machines with stochastic breakdowns, considering uptime, downtime, and processing time distributions.

Contribution

It provides a novel approach to express the second moment of completion time in a preempt-repeat model under stochastic machine failures.

Findings

Derived a formula for the second moment of completion time.

Applicable to systems with stochastic uptime and downtime.

Enhances understanding of job processing variability under machine failures.

Abstract

This work presents an approach to express the second moment of the completion time with a preempt-repeat model job processed on a machine subject to stochastic breakdowns by some distribution characters of the uptime, downtime and processing time.