When solving linear prog. problems, we base our solutions on assumptions.one of these assumptions is that there is only one optimal solution to the problem.so in short NO. BY HADI
It is possible to have more than one optimal solution point in a linear programming model. This may occur when the objective function has the same slope as one its binding constraints.
Yes. If the feasible region has a [constraint] line that is parallel to the objective function.
Fixed Cost Problem is a kind of the Mixed Linear Programming Problem(MILP).Also, MILP is a Parametric Quadratic Concave Programming Problem. The optimal solution is existence of vertix set of the domain set. Then, you can use the domain cutting method.
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
It depends on the problem: you may have to use integer programming rather than linear programming.
possible solutions to a problem which you could choose from
No. However, a special subset of such problems: integer programming, can have two optimal solutions.
Yes, a linear programming problem can have exactly two optimal solutions. This will be the case as long as only two decision variables are used within the problem.
Both are using Optimal substructure , that is if an optimal solution to the problem contains optimal solutions to the sub-problems
Dynamic programming enables you to develop sub solutions of a large program.the sub solutions are easier to maintain use and debug.And they possess overlapping also that means we can reuse them.these sub solutions are optimal solutions for the problem
Dynamic programming is a technique for solving problem and come up an algorithm. Dynamic programming divide the problem into subparts and then solve the subparts and use the solutions of the subparts to come to a solution.The main difference b/w dynamic programming and divide and conquer design technique is that the partial solutions are stored in dynamic programming but are not stored and used in divide and conquer technique.
Yes. If the feasible region has a [constraint] line that is parallel to the objective function.
...........................Advantages and Disadvantages of Dynamc Programming..................Dynamic programming provide a polynomial time solution.also used in that problem in which repetition may occur.Recall that the Dynamic Programming method is applicable when an optimal solution can be obtained from a sequence of decisions......................................................................................By Adnantufail islamia college peshawar.
It is usually the answer in linear programming. The objective of linear programming is to find the optimum solution (maximum or minimum) of an objective function under a number of linear constraints. The constraints should generate a feasible region: a region in which all the constraints are satisfied. The optimal feasible solution is a solution that lies in this region and also optimises the obective function.
Fixed Cost Problem is a kind of the Mixed Linear Programming Problem(MILP).Also, MILP is a Parametric Quadratic Concave Programming Problem. The optimal solution is existence of vertix set of the domain set. Then, you can use the domain cutting method.
Brainstorming can help by providing multiple radicly new solutions that not only help the target problem, but may offer a solutions to other problems as well.Example:What if we did this?That works, we could use that for "other problem" problem too.
Problem -> Programming Programming can be a solution to a problem. If you have a problem and it can be solved by a computer program, so you can create such a program - so you can solve this problem by programming.
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?