Solving Fuzzy Multiproduct Aggregate Production Planning Problems Based on Extension Principle
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-03
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Aggregate production planning (APP) plays a critical role in supply chain management (SCM).
This paper investigates multiproduct, multiperiod APP problems with several distinct types of fuzzy uncertainties.
In contrast to the existing studies, the modelling in this work conserves the fuzziness such that the obtained APP is more effective.
Based on Zadeh’s extension principle, the results obtained are fuzzy solutions described by membership functions, in contrast to results from previous studies.
A pair of two-level parametric mathematical programs is formulated to calculate the lower and upper bounds of the optimum fuzzy performance measure.
The membership function of the fuzzy total cost is constructed by enumerating various possibility levels.
A case studied in previous research is investigated to demonstrate the validity of the proposed model and solution procedure.
Because the optimal objective value and associated decision variables are expressed using fuzzy numbers rather than crisp values, the proposed approach is able to represent APP systems more accurately, and therefore, the results obtained can provide decision makers with more effective and informative APPs and more chance to achieve the optimal disaggregate plan.
American Psychological Association (APA)
Chen, Shih-Pin& Huang, Wen-Lung. 2014. Solving Fuzzy Multiproduct Aggregate Production Planning Problems Based on Extension Principle. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-454588
Modern Language Association (MLA)
Chen, Shih-Pin& Huang, Wen-Lung. Solving Fuzzy Multiproduct Aggregate Production Planning Problems Based on Extension Principle. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-454588
American Medical Association (AMA)
Chen, Shih-Pin& Huang, Wen-Lung. Solving Fuzzy Multiproduct Aggregate Production Planning Problems Based on Extension Principle. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-454588
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454588