Use the graphical method to move from vertex to vertex in the feasible region and identify the optimal solution. Implement the Simplex Method, showing the sequence of tableaus and the basic solutions.

Examining real-world challenges reveals that there are numerous approaches to guiding a problem toward a solution. Some methods may be intricate, while others could be straightforward. The ...

1 Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh. 2 Department of Mathematics, University of Dhaka, Dhaka, Bangladesh. 3 Computer Science and Engineering ...

An example of the quadratic assignment problem (QAP) is the facility location problem, in which n facilities are assigned, at minimum cost, to n sites. Between each pair of facilities, there is a ...

This is a preview. Log in through your library . Abstract The Linear Programming Problem is by far the most widely used optimization model. Its impact on economic and government modeling is immense.

Abstract: There exists a method to reduce a 3-SAT (Satifiability) problem to a Subset Sum Problem (SSP) in the literature, however, it can only be applied to small or medium size problems. Our study ...

Abstract: This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that ...