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Virginia Tech

Bi-criteria Scheduling Problems on Parallel Machines

Abstract

dc:description.abstract

Mathematical programming has not been used extensively for the solution of scheduling problems. Moreover, the study of bicriteria problems on single and parallel machines is an open field for research. This thesis is aimed at developing algorithms to solve bicriteria problems more efficiently and in reasonable amount of time and with little compromise on the optimality of the solutions obtained. Two classes of problems are considered. The first class consists of scheduling unit duration tasks on parallel machines. Various combinations of primary and secondary criteria are considered and optimal seeking algorithms of polynomial time complexity are developed. The second class of problems assume general processing time tasks. An algorithm is developed for the primary criterion of total tardiness and the secondary criterion of total flow time. This algorithm is based on the solution of the underlying mathematical program and makes use of dominance relationship among the jobs and fixing of variables. Experimental results are presented regarding its performance.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Industrial and Systems Engineering
Department dc:contributor.department
Industrial and Systems Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1995

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Prakash, Divya
Committee members dc:contributor.committeemember
  • Kobza, John E.
  • Sherali, Hanif D.
  • Sarin, Subhash C.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Dc Identifier Other
etd-4621112149731401
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/36732

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Prakash, Divya. Bi-criteria Scheduling Problems on Parallel Machines. masters thesis, Virginia Tech, 1995. http://hdl.handle.net/10919/36732