Shoddy Pro – Offering Technique Using Lagrangian Method

Document Type : Primary Research paper


Department of Mathematics,Holy Cross College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli – 620002 Tamilnadu, India


This paper signifies the manufacture of a product in a single stage
manufacturing system which may generate imperfect quality products. Such defective
products are reworked using fuzzy optimization and trapezoidal numbers to find the total
cost so as to reduce the overall production cost significantly. To achieve this objective, two
inventory models are developed. The first model gives a unique solution for imperfect
production system with rework and the second model highlights on imperfect production
system with rework and shortage.