An Application of Integer Linear Programming Problem in Tea Industry of Barak Valley of Assam, India under Crisp and Fuzzy Environments
Authors
Nabendu Sen, Laxminayaran Sahoo and Asoke Kumar Bhunia
Abstract
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.
