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Integer programming is a method of mathematical programming that restricts some or all of the variables to integers. A subset of Integer programming is Linear programming. This is a form of mathematical programming which seeks to find the best outcome in such a way that the requirements are linear relationships.
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Can a linear programming problem have two optimal solutions?
No. However, a special subset of such problems: integer programming, can have two optimal solutions.
Difference between the graphs of linear equations and a direct variation?
Linear has a slope direct does not but both go through the orgin
Who invented linear programming?
George B. Dantzig
Why is it important the linear equations and inequalities?
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
What are the components of linear programming models?
The objective function and the constraints.
Distinguish between integer programming problem and linear programming problem?
Integer programming is a subset of linear programming where the feasible region is reduced to only the integer values that lie within it.
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.
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 has the author Toshihide Ibaraki written?
Toshihide Ibaraki has written: 'Implicit enumeration algorithm of integer programming on ILLIAC IV' -- subject(s): Computer algorithms, Integer programming 'Adaptive linear classifier by linear programming' -- subject(s): Linear programming 'Arugorizumu to deta kozo (21-seiki o shikoshita denshi tsushin joho karikyuramu shirizu)'
What has the author A N Ahmed written?
A. N. Ahmed has written: 'Experiments in reduction techniques for linear and integer programming' 'A modified production procedure for linear programming problems'
What is NN IN maths?
N squared. It could be the Cartesian plane restricted to integer values, as required for integer linear programming problems.
Can a linear programming problem have two optimal solutions?
No. However, a special subset of such problems: integer programming, can have two optimal solutions.
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.
What is the relationship between linear programming problem and transportation problem?
you learn linear programming before you learn the transportation problem.
How do you send a data from source node to destination node using integer linear programming in java language?
java
Difference between function and objective function?
The linear function Z=c1x1+c2x2+c3x3+..........+cnxn which is to minimized or maximized is called Objective Function of general Linear Programming Problem.The innequalities of LPP are called constraints.
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.
