Minimizing average completion time in the presence of release dates

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

A PTAS for Minimizing Average Weighted Completion Time With Release Dates on Uniformly Related Machines

A classical scheduling problem is to find schedules that minimize average weighted completion time of jobs with release dates. When multiple machines are available, the machine environments may range from identical machines (the processing time required by a job is invariant across the machines) at one end, to unrelated machines (the processing time required by a job on any machine is an arbitr...

Minimizing Total Completion Time Subject to Job Release Dates and Preemption Penalties

Extensive research has been devoted to preemptive scheduling. However, little attention has been paid to problems where a certain time penalty must be incurred if preemption is allowed. In this paper, we consider the single-machine scheduling problem of minimizing the total completion time subject to job release dates and preemption penalties, where each time a job is started, whether initially...

Approximation schemes for minimizing total (weighted) completion time with release dates on a batch machine

A batch machine is a machine that can process a number of jobs simultaneously as a batch, and the processing time of a batch is equal to the longest processing time of the jobs assigned to it. In this paper we present a polynomial time approximation scheme (PTAS) for scheduling a batch machine to minimize the total completion time with job release dates. Also, we present a fully polynomial time...

Two Exponential Neighborhoods For Single Machine Scheduling

We study the problem of minimizing total completion time on a single machine with the presence of release dates. We present two different approaches leading to exponential neighborhoods in which the best improving neighbor can be determined in polynomial time. Furthermore, computational results are presented to get insight in the performance of the developed neighborhoods.