Essays on Polyhedron

Simplex method is an algorithm for solving linear programming optimization problem by sorting the vertices of a convex polyhedron in a multidimensional space. Linear programming problem is that it is necessary to maximize or minimize a linear functional on a multidimensional space for a given linear constraints.

The sequence of calculations simplex method can be divided into two main phases:

- finding the original vertices of the set of feasible solutions, - gradual transition from one vertex to another, leading to the optimization of the objective function. Thus in some cases, the initial solution is obviously its definition or does not require complex calculations, for example, when all the constraints are represented by inequalities of ...

1.0 Introduction Many sports played across the world that involves throwing, hitting and kicking are done so using a ball. However, many parameters such as humidity, materials of manufacture of the ball, size of the ball, etc. control the movement of the ball in air. Research on golf balls and tennis balls reveal their aerodynamic properties and the various parameters affecting their flight. The effect of seams on a baseball on the flight has been evaluated along with the relationship between rotation and lateral forces (Watts & Sawyer 1987). Similar studies have also been conducted on cricket balls, rugby balls, volleyballs ...

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Integer Programming

The problem of integer programming (IP) refers to a problem in which some or all variables must take integer values. In the case when the constraints and the objective function are linear dependence problem is called an integer linear programming problem. Otherwise, if at least one non-linear dependence will be, it will be the integer nonlinear programming problem. Of particular interest to the problems of the IP due to the fact that in many practical problems, we need to find an integer solution due to a discrete series of values ​​of the variables. In the field ...