Minimizing Average Weighted Completion Time

On Minimizing Average Weighted Completion Time of Multiprocessor Tasks with Release Dates

Approximation results for a bicriteria job scheduling problem on a single machine without preemption

We study the problem of minimizing the average weighted completion time on a single machine under the additional constraint that the sum of completion times does not exceed a given bound B (1 !Cj B !wjCj) for which we propose a 2 1 -approximationalgorithm. We also address the problem1 !c jCj B !wjCj for which we present a 2 2 -approximation algorithm. After showing that the problem of minimizin...

Minimizing average completion time in the presence of release dates

A natural and basic problem in scheduling theory is to provide good average quality of service to a stream of jobs that arrive over time. In this paper we consider the problem of scheduling n jobs that are released over time in order to minimize the average completion time of the set of jobs. In contrast to the problem of minimizing average completion time when all jobs are available at time 0,...

On-line scheduling to minimize average completion time revisited

We consider the scheduling problem of minimizing the average-weighted completion time on identical parallel machines when jobs are arriving over time. For both the preemptive and the nonpreemptive setting, we show that straightforward extensions of Smith’s ratio rule yield smaller competitive ratios than the previously best-known deterministic on-line algorithms. c © 2003 Elsevier B.V. All righ...

Minimizing total weighted completion time approximately for the parallel machine problem with a single server

In this paper, we consider the scheduling problem of minimizing total weighted job completion time when a set of jobs has to be processed on a set of m parallel identical machines with a common server. We propose an approximation algorithm with a worst-case ratio of 3− 1 m . This result improves an existing (5− 1 m ) approximation algorithm given by Wang and Cheng (2001).