An Application of Integer Linear Programming Problem in Tea Industry of Barak Valley of Assam, India under Crisp and Fuzzy Environments

The current paper is concerned with a decision making problem of a tea industry of Barak Valley of Assam, India. The goal of this problem is to maximize the overall profit of the industry subject to the given resource constraints. Firstly, the problem has been formulated as an integer linear programming problem in crisp as well as in fuzzy environment. For fuzzification of the problem, some of the parameters are assumed to be different types of fuzzy numbers viz., triangular fuzzy number, parabolic fuzzy number and trapezoidal fuzzy number. Thereafter, the problem has been defuzzified by graded mean integration method to convert the crisp problem. The converted problem has been solved by the software LINGO13.0. Finally, to illustrate the problem and its results, a numerical example has been solved.