The coconut tree (Cocos nucifera) is one of the most extensively and widely used palm trees. The coconut palm is regarded as the "tree of life," or "Kalpavriksha." Humans have been cultivating a wide range of coconut trees around the world. This study is based on analysis of secondary data on cultivation of coconut trees and its benefits. Due to increased insect infestations and a changing habitat, the lifespan of coconut trees have been affected. Coconut product market has become the fastest expanding business due to the anti-viral compounds found in it. The coconut is used to produce oils, even the shells used for craft materials. People have been using coconut trees to make brooms and woods are being used to make furniture, construction materials for dwellings, and hardwood floors. It shows the livelihood of people around the world have been changed due to the cultivation of coconut trees. Indonesia, India and Philippines are top three countries to be economically benefitted from the plantation of coconut trees. As there is high demand of coconut based products worldwide, farmers need to be made aware about this economic value for increment in production.

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.

This paper considers an EOQ inventory model with varying demand and holding costs. It suggests minimizing the total cost in a fuzzy related environment. The optimal policy for the nonlinear problem is determined by both Lagrangian and Kuhn-tucker methods and compared with varying price-dependent coefficient. All the input parameters related to inventory are fuzzified by using trapezoidal numbers. In the end, a numerical example discussed with sensitivity analysis is done to justify the solution procedure. This paper primarily focuses on the aspect of Economic Order Quantity (EOQ) for variable demand using Lagrangian, Kuhn-Tucker and fuzzy logic analysis. Comparative analysis of there methods are evaluated in this paper and the results showed the efficiency of fuzzy logic over the conventional methods. Here in this research trapezoidal fuzzy numbers are incorporated to study the price dependent coefficients with variable demand and unit purchase cost over variable demand. The results are very close to the crisp output. Sensitivity analysis also done to validate the model.

No abstract

No abstract