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Distinguish between integer programming problem and linear programming problem?

Anonymous

∙ 14y ago

Updated: 4/28/2022

Integer programming is a subset of linear programming where the feasible region is reduced to only the integer values that lie within it.

Wiki User

∙ 14y ago

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Q: Distinguish between integer programming problem and linear programming problem?

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What are the characteristics of integer programming problems?

The algorithms to solve an integer programming problem are either through heuristics (such as with ant colony optimization problems), branch and bound methods, or total unimodularity, which is often used in relaxing the integer bounds of the problem (however, this is usually not optimal or even feasible).

What is the relationship between linear programming problem and transportation problem?

you learn linear programming before you learn the transportation problem.

Will the solution to an linear programming problem always consist of integers?

No, it will not. In fact, there is a special branch of linear programming which is called integer programming and which caters for situations where the solution must consist of integers.

What does integer range mean?

The problem must have given you a list of several whole numbers. The integer range is the difference in size (distance) between the biggest one and the smallest one.

What is difference between linear and dynamic programming?

Dynamic programming (DP) has been used to solve a wide range of optimizationproblemsWhen solving a problem using linear programming, specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputs.

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Related Questions

What is integer programming?

Integer programming is a special kind of an optimising problem where the solution must be an integer.

How do you find the answer to an integer problem?

It depends on the problem: you may have to use integer programming rather than linear programming.

What is the relation between problem and programming?

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.

What are the characteristics of integer programming problems?

The algorithms to solve an integer programming problem are either through heuristics (such as with ant colony optimization problems), branch and bound methods, or total unimodularity, which is often used in relaxing the integer bounds of the problem (however, this is usually not optimal or even feasible).

Assembly language programming and organization of IBM PC by ytha yu solving book problem?

distinguish between a carry and an overflow as aresult of an arithmetic operation .

Can a linear programming problem have two optimal solutions?

No. However, a special subset of such problems: integer programming, can have two optimal solutions.

How can the reduction of vertex cover to integer programming be achieved?

The reduction of vertex cover to integer programming can be achieved by representing the vertex cover problem as a set of constraints in an integer programming formulation. This involves defining variables to represent the presence or absence of vertices in the cover, and setting up constraints to ensure that every edge in the graph is covered by at least one vertex. By formulating the vertex cover problem in this way, it can be solved using integer programming techniques.

What is the relationship between linear programming problem and transportation problem?

you learn linear programming before you learn the transportation problem.

Will the solution to an linear programming problem always consist of integers?

No, it will not. In fact, there is a special branch of linear programming which is called integer programming and which caters for situations where the solution must consist of integers.

What do you understand by linear programming problem?

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?

Why are integer programming problems more difficult to solve than linear programming problems?

In both cases the constraints are used to produce an n-dimensional simplex which represents the "feasible region". In the case of linear programming this is the feasible region. But that is not the case for integer programming since only those points within the region for which the variables are integer are feasible.The objective function is then used to find the maximum or minimum - as required. In the case of a linear programming problem, the solution must lie on one of the vertices (or along one line in 2-d, plane in 3-d etc) of the simplex and so is easy to find. In the case of integer programming, the optimal solution so found may contain one or more variables that are not integer and so it is necessary to examine all the points in the immediate neighbourhood and evaluate the objective function at each of these points. This last requirement makes integer programming solutions more difficult to find.

What do you understand by linear 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?

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