An investigation of inventory optimization by using geometric programming technique with decagonal fuzzy number representation

H. Mary Henrietta; K Kalaiarasi; M. Sumathi; V.  N. Jayamani; A. Stanley Raj

H. Mary Henrietta Department of Mathematics, Saveetha Engineering College (Autonomous), Chennai-602105, Tamil Nadu , India.
K Kalaiarasi PG and Research Department of Mathematics, Cauvery College for Women (Affiliated to Bharathidasan University), Tiruchirappalli-620018, Tamil Nadu, India.
M. Sumathi PG and Research Department of Mathematics, Khadir Mohideen College (Affiliated to Bharathidasan University), Adirampattinam-614701, Tamil Nadu, India.
V. N. Jayamani Saveetha Engineering College (Autonomous), Chennai-602105,\\ Tamil Nadu, India.
A. Stanley Raj Loyola College, Chennai, Tamil Nadu 600034, India.

Abstract

Inventory optimization focuses on stabilizing the stockpile management in the company with the expenditure involved in a successful volatile system. The major challenge is to meet the customer's demand in a well-organized way for profitable management. The nonlinear programming problem (NLP) from fixed order inventory systems, was solved by using the geometric programming method with fuzzification executed by decagonal fuzzy numbers and graded-mean representation as a defuzzification method. In this paper, we had minimized the total cost for an inventory model to obtain the optimal quantity and compared it with the fuzzy inventory model and illustrated with a numerically.