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introduction in mathematics and computer science an optimization problem is the problem of finding the best solution from all feasible solutions types of optimization problems optimization problems can be divided ...

icon picture PPTX Filetype Power Point PPTX | Posted on 10 Sep 2022 | 3 years ago
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            INTRODUCTION
        
         In mathematics and computer science, an 
        optimization problem is the problem of finding the 
        best solution from all feasible solutions.
        
         Types of Optimization problems   =  Optimization 
        problems can be divided into two categories 
        depending on whether the variables are continuous 
        or discrete.
        TYPES OF OPTIMIZATION PROBLEM
        
         An optimization problem with discrete variables is 
        known as a combinatorial optimization problem. 
        
         In a combinatorial optimization problem, we are 
        looking for an object such as an integer, permutation 
        or graph from a finite (or possibly accountably 
        infinite) set. Problems with continuous variables 
        include constrained problems and multimodal 
        problems.
           WAY TO SOLVE OPTIMIZATION 
                    PROBLEM
        
           Assignment 
        problem
        ASSIGNMENT PROBLEM DEFINITION 
        
         The assignment problem is one of the fundamental 
        combinatorial optimization problems in the branch of 
        optimization or operations  research in mathematics. 
        It consists of finding a maximum weight matching (or 
        minimum weight perfect matching) in a weighted 
        bipartite graph. 
                     ASSIGNMENT PROBLEM
                     MATHEMATICAL FORM 
            
                                  ij xij
            Such that:                                               
                                                           ij = 1
                                                           ij = 1
                                                X >= 0; For (i,j = 1,…,m)
                                 ij 
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...Introduction in mathematics and computer science an optimization problem is the of finding best solution from all feasible solutions types problems can be divided into two categories depending on whether variables are continuous or discrete with known as a combinatorial we looking for object such integer permutation graph finite possibly accountably infinite set include constrained multimodal way to solve assignment definition one fundamental branch operations research it consists maximum weight matching minimum perfect weighted bipartite mathematical form ij xij that x i j m...

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