Fundamental Theorems Theorem 1 Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function. When Z has an optimal value (maximum or ...

Example 8.9: Linear Programming The two-phase method for linear programming can be used to solve the problem A routine written in IML to solve this problem follows. The approach appends slack, surplus ...

CBSE Class 12 Mathematics Chapter 12 Linear Programming Revision Notes: The 2024 board exams are here, and it is time to lay down the books and start revising the topics.

The purpose of this paper is to develop a useful technique for solving linear programmes involving more than one objective function. Motivation for solving multicriterion linear programmes is given ...

In this paper we propose a stochastic programming model which considers the distribution of an objective function and probabilistic constraints. Applying it to a transportation type problem, we derive ...