Preemptive scheduling on identical parallel machines subject to deadlines

Date

2003-07-01

Author

Azizoğlu, Meral

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

221
views

0
downloads

We consider the problem of scheduling n preemptive jobs with deadlines on in identical parallel machines so as to minimize total completion time. We show that the problem is polynomially solvable when the processing times and deadlines are agreeable.

Subject Keywords

Preemptive scheduling, Parallel machines, Total completion time

URI

https://hdl.handle.net/11511/46257

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

DOI

https://doi.org/10.1016/s0377-2217(02)00374-0

Collections

Department of Industrial Engineering, Article

Suggestions

OpenMETU
Core

On the minimization of total weighted flow time with identical and uniform parallel machines Azizoğlu, Meral (1999-02-16) We consider the NP-hard problem of scheduling jobs on identical parallel machines to minimize total weighted flow time. We discuss the properties that characterize the structure of an optimal solution, present a lower bound and propose a branch and bound algorithm. The algorithm is superior to prior methods presented in the literature. We also extend the algorithm to uniform parallel machines and solve medium-sized problem instances.
Uniform Parallel machine scheduling with family set-up times Tamer, Meral; Azizoğlu, Meral; Azizoğlu, Meral; Department of Industrial Engineering (2003) In this study, we address the scheduling problem of uniform parallel machines with family set-up times so as to minimize the total completion time. We develop a branch and jound algorithm that employs an efficient branching scheme. A bounding mechanism is jroposed to increase the efficiency of this algorithm. Our computational experiment shows hat the optimal solution is found in reasonable CPU times up to 15 jobs. Further experiments »re conducted to test the bounding mechanisms and this experiment indicat...
Scheduling a batch processing machine with incompatible job families Azizoğlu, Meral (2001-04-01) The problem of scheduling batch processors is important in some industries and, at a more fundamental level, captures an element of complexity common to many practical scheduling problems. We describe a branch and bound procedure applicable to a batch processor model with incompatible job families. Jobs in a given family have identical job processing times, arbitrary job weights, and arbitrary job sizes. Batches are limited to jobs from the same family. The scheduling objective is to minimize total weighted...
Scheduling jobs on unrelated parallel machines to minimize regular total cost functions Azizoğlu, Meral; Kirca, O (1999-02-01) In this paper we consider unrelated parallel machine scheduling problems that involve the minimization of regular total cost functions. We first present some properties of optimal solutions and then provide a lower bound. These mechanisms are tested on the well-known practical problem of minimizing total weighted flow time on unrelated parallel machines. In doing so, we design a branch and bound algorithm incorporating the mechanisms derived for the general total cost function along with the ones derived sp...
Scheduling a batch processing machine with non-identical job sizes Azizoğlu, Meral (2000-07-10) The problem of scheduling batch processors is important in some industries and, at a more fundamental level, captures an element of complexity common to many practical scheduling problems. We describe a branch and bound procedure applicable to a batch processor model with arbitrary job processing times, job weights and job sizes. The scheduling objective is to minimize total weighted completion time. We find that the procedure returns optimal solutions to problems of up to similar to 25 jobs in reasonable C...

Citation Formats

M. Azizoğlu, “Preemptive scheduling on identical parallel machines subject to deadlines,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 205–210, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46257.