# What is a degenerate basic feasible solution?

## What is a degenerate basic feasible solution?

Degenerate basic feasible solution: A basic feasible solution where one or more of the basic variables is zero. Discrete Variable: A decision variable that can only take integer values. Feasible Solution: A solution that satisfies all the constraints.

### What does the term degenerate solution mean?

Definition: An LP is degenerate if in a basic feasible solution, one of the basic variables takes on a zero value. Degeneracy is a problem in practice, because it makes the simplex algorithm slower.

#### What is degenerate basic feasible solution in RMT?

A basic feasible solution is called degenerate if one of its RHS coefficients (excluding the objective value) is 0. This bfs is degenerate.

What is a basic solution called non degenerate?

Non-degenerate : if none of the basic variables is zero, the solution is non-degenerate. Basic solution. * Degenerate : if one or more of the basic variables vanish the solution is called degenerate basic solution.

How do you know if a solution is degenerate?

A basic feasible solution is degenerate if at least one of the basic variables is equal to zero. A standard form linear optimization problem is degenerate if at least one of its basic feasible solutions is degenerate.

## What are degenerate equations?

In mathematics, something is called degenerate if it is a special case of an object which has, in some sense, “collapsed” into something simpler. A degenerate conic is given by an equation ax2+2hxy+by2+2fx+2gy+c=0 where the solution set is just a point, a straight line or a pair of straight lines.

### What is degenerate linear equation?

A system of equations is degenerate if more than one set of solutions equations and non degenerate if only one set of solutions exists. A system of equations is inconsistent if no solutions exists. A system of equations is consistent if solutions exist – either a unique set of solutions or more than one.

#### What do you mean by Modi method?

modified distribution method
Abstract. The modified distribution method, is also known as MODI method or (u – v) method provides a minimum cost solution to the transportation problems. This model studies the minimization of the cost of transporting a commodity from a number of sources to several destinations.

What is feasible solution and non-degenerate solution in transportation problem?

Non -degenerate basic feasible solution: A basic feasible solution to a (m x n) transportation problem is said to be non – degenerate if, the total number of non-negative allocations is exactly m + n – 1 (i.e., number of independent constraint equations), and. these m + n – 1 allocations are in independent positions.

What characteristic best describes a degenerate solution?

What characteristic best describes a degenerate solution? A solution where an anomaly takes place. The shadow price of non-binding constraint is. Zero.

## How do you solve degenerate?

In order to resolve degeneracy, the conventional method is to allocate an infinitesimally small amount e to one of the independent cells i.e., allocate a small positive quantity e to one or more unoccupied cell that have lowest transportation costs, so as to make m + n – 1 allocations (i.e., to satisfy the condition N …