Optimization of fuzzy inventory model for EOQ using Lagrangian method
Downloads
DOI:
https://doi.org/10.26637/MJM0703/0021Abstract
This paper discusses the existence of defective items in a manufacturing process. A rework strategy is implemented to rectify the defective items. A rework cost function under fuzzy environment which includes both synchronous and asynchronous items. The paper develops fuzzy optimal total cost function and fuzzy production quantity using trapezoidal numbers and applying Lagrangian method. A numerical example follows to justify the solution procedure
Keywords:
Economic order quantity (EOQ), Fuzzy inventory, Graded mean integration and Lagrangian methodMathematics Subject Classification:
Mathematics- Pages: 497-501
- Date Published: 01-07-2019
- Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)
S.H. Chen, C.C. Wang and Arthur Ramer, Back-order fuzzy inventory model under function principle, Information Science, 95(1996)(1-2), 71-79.
S.H. Chen and C.H. Hsieh, Graded mean integration representations of generalized fuzzy number, Journal of Chinese Fuzzy Systems, 5(1999), 1-7.
G. Hadley and T. M. Whitin, Analysis of Inventory Systems, Prentice-Hall, Englewood clipps, NJ, 1963.
F. Harris, Operations and Cost, AW Shaw Co. Chicago, 1915.
R. Jain, Decision making in the presence of fuzzy variables, IIIE Transactions on systems:Man and Cybernetics, 17( 1976), 698-703.
J. Kacpryzk and P. Staniewski, Long-term inventory policy-making through fuzzy-decision making models, Fuzzy Sets and Systems, 8(1982), 117-132.
Muhammad Al-Salamah, Economic production quantity in an imperfect manufacturing process with synchronous and asynchronous flexible rework rates, Operations Research Perspectives, 6(2019)1000103.
K. S. Park, Fuzzy set theoretical interpretation of economic order quantity, IEEE Trans. Systems Man. Cybernet SMC, 17(1987), 1082-1084.
W. Ritha and K. Kalaiarasi, Optimization of fuzzy integrated Vendor-Buyer inventory models, Annala of Fuzzy Mathematics and Informatics, 2(2)(2011), 239-257.
W. Ritha and K. Kalaiarasi, Optimization of fuzzy integrated two stage Vendor-Buyer inventory system, In ternational of Mathematical Sciences and Applications, $1(2)(2011), 1-12$.
W. Ritha and K. Kalaiarasi, Optimization of a multiple vendor single Buyer integrated inventory model with a variable number of vendors, International Journal of Mathematical Sciences and Engineering Applications, $5(mathrm{~V})(2011), 173-188$.
G. Urgeletti Tinarelli, Inventory control models and problems, European Journal of Operational Research, $14(1983), 1-12$.
R. Wilson, A scientific routine for stock control, Harvard Business Review, 13(1934), 116-128.
L. A. Zadeh, Fuzzy sets, Information Control, 8(1965), $338-353$.
L. A. Zadeh and R. E. Bellman, Decision making in a fuzzy environment, Management Science, 17(1970), 140164.
H. J. Zimmerman, Using fuzzy sets in operational research, European Journal of Operational Research, 13(1983), 201-206.
- NA
Similar Articles
- Fatma ALMAZ , Mihriban ALYAMAÇ KÜLAHCI , A survey on magnetic curves in 2-dimensional lightlike cone , Malaya Journal of Matematik: Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
