Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
On the minimization of total weighted flow time with identical and uniform parallel machines
Date
1999-02-16
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
227
views
0
downloads
Cite This
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.
Subject Keywords
Branch and bound
,
Parallel machines
,
Scheduling
URI
https://hdl.handle.net/11511/41915
Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
DOI
https://doi.org/10.1016/s0377-2217(97)00427-x
Collections
Department of Industrial Engineering, Article
Suggestions
OpenMETU
Core
Preemptive scheduling on identical parallel machines subject to deadlines
Azizoğlu, Meral (2003-07-01)
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.
Tardiness minimization on parallel machines
Azizoğlu, Meral (1998-07-01)
We consider the NP-hard problem of scheduling jobs on identical parallel machines to minimize total tardiness. We present properties that characterize the structure of an optimal schedule. We propose a branch and bound algorithm that incorporates the properties along with an efficient lower bounding scheme.We find that optimal solutions can be obtained in reasonable times for problems with up to 15 jobs. In the last part of the study we extend the results to uniform parallel machines.
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...
Using genetic algorithms for single-machine bicriteria scheduling problems
Köksalan, Mustafa Murat; Keha, AB (2003-03-16)
We consider two bicriteria scheduling problems on a single machine: minimizing flowtime and number of tardy jobs, and minimizing flowtime and maximum earliness. Both problems are known to be NP-hard. For the first problem, we developed a heuristic that produces an approximately efficient solution (AES) for each possible value the number of tardy jobs can take over the set of efficient solutions. We developed a genetic algorithm (GA) that further improves the AESs. We then adapted the GA for the second probl...
Rescheduling of identical parallel machines under machine eligibility constraints
Alagoz, O; Azizoğlu, Meral (2003-09-16)
In this study, we address a rescheduling problem in parallel machine environments under machine eligibility constraints. We consider total flow time as efficiency measure and the number of jobs processed on different machines in the initial and revised schedules as a stability measure. We present an optimizing algorithm for minimizing the stability measure subject to the constraint that the efficiency measure is at its minimum level. We then propose several heuristic procedures to generate a set of approxim...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Azizoğlu, “On the minimization of total weighted flow time with identical and uniform parallel machines,”
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
, pp. 91–100, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41915.