On the Asymptotic Optimality of Work-Conserving Disciplines in Completion Time Minimization

TL;DR

This paper proves that work-conserving disciplines are asymptotically optimal for minimizing total completion time under certain stochastic assumptions, and provides tight bounds on their competitive ratios for flow time.

Contribution

It establishes the asymptotic optimality of work-conserving disciplines for completion time minimization and derives tight bounds on their competitive ratios for flow time.

Findings

Work-conserving disciplines are asymptotically optimal for total completion time.

Derived tight upper bounds on competitive ratios for flow time.

Provided analysis under mild stochastic assumptions.

Abstract

In this paper, we prove that under mild stochastic assumptions, work-conserving disciplines are asymptotic optimal for minimizing total completion time. As a byproduct of our analysis, we obtain tight upper bound on the competitive ratios of work-conserving disciplines on minimizing the metric of flow time.