Optimization of fuzzy inventory model for EOQ using Lagrangian method

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Authors :

K. Kalaiarasi 1 , M. Sumathi 2 and H. Mary Henrietta 3*

Author Address :

1 Department of Mathematics, Cauvery College for Women, Trichy-620018, Tamil Nadu, India.
2 PG and Research Department of Mathematics, Khadir Mohideen College (Affiliated to Bharathidasan University), Adhirampattinam-614701, Tamil Nadu, India.
3 Research Scholar (Part-Time), PG and Research Department of Mathematics, Khadir Mohideen College (Affiliated to Bharathidasan University), Adhirampattinam-614701, Tamil Nadu, India; Department of Mathematics, Saveetha Engineering College, Chennai-602105, Tamil
Nadu, India.

*Corresponding author.

Abstract :

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 method.

DOI :

10.26637/MJM0703/0021

Article Info :

Received : March 24, 2019; Accepted : July 17, 2019.