On pareto set for a bi-criterion scheduling problem under fuzziness
Author
Source
Iraqi Journal of Statistical Science
Issue
Vol. 18, Issue 33 (30 Jun. 2021), pp.64-71, 8 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2021-06-30
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract EN
In this paper a bi-criterion fuzzy scheduling problem was presented and the problem under consideration is total fuzzy completion time and maximum earliness, where the processing times and the due dates are triangular fuzzy numbers.
Each of jobs is to be processed without interruption on a single machine and becomes available for processing at time zero.
A new definition of fuzzy numbers was given namely m-strongly positive fuzzy numbers, through this definition we found an interval which restricts the range of the fuzzy lower bound and presented a relation between the fuzzy lower bound and the fuzzy optimal solution with number of efficient solutions.
Also we found the exact solution of the problem through finding the Pareto set.
American Psychological Association (APA)
Ramadan, Ayad Muhammad. 2021. On pareto set for a bi-criterion scheduling problem under fuzziness. Iraqi Journal of Statistical Science،Vol. 18, no. 33, pp.64-71.
https://search.emarefa.net/detail/BIM-1355579
Modern Language Association (MLA)
Ramadan, Ayad Muhammad. On pareto set for a bi-criterion scheduling problem under fuzziness. Iraqi Journal of Statistical Science Vol. 18, no. 33 (2021), pp.64-71.
https://search.emarefa.net/detail/BIM-1355579
American Medical Association (AMA)
Ramadan, Ayad Muhammad. On pareto set for a bi-criterion scheduling problem under fuzziness. Iraqi Journal of Statistical Science. 2021. Vol. 18, no. 33, pp.64-71.
https://search.emarefa.net/detail/BIM-1355579
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 70-71
Record ID
BIM-1355579