![]() ![]() This is the initial set of candidate solutions to the problem, before the set of candidates has been narrowed down. For a maximization problem, an optimal solution to an LP is a point in the feasible region with the largest objective function value. Most of these optimization problems do not admit an optimal solution that can be computed in a reasonable time, that is in polynomial time (See Chapter 3). In mathematical optimization, a feasible region, feasible set, search space, or solution space is the set of all possible points (sets of values of the choice variables) of an optimization problem that satisfy the problem's constraints, potentially including inequalities, equalities, and integer constraints. For example, suppose Healthy Pet Food wanted to supply at least 160,000 packages of dog food each month that is M+Y. ![]() Of course in this case, a solution means the tuple (x,m,n,a,b,c,d). To obtain another optimal solution, the aforesaid variable is made to enter the basis. ![]() A closed feasible region of a linear programming problem with three variables is a convex polyhedron. There are three possibilities for a linear programming problem: bounded feasible, unbounded feasible, and infeasible.In real life, we often face situations in which it is impossible to satisfy all the restrictions confronting us. \begingroup I am told that when the stopping criterion is fulfilled but the deviation corresponding to any non-basic variable is 0, there are multiple solutions. ![]()
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