Approximation algorithms for np hard problems in this section we discuss a different approach to handling difficult problems of combinatorial optimization such as the traveling salesman problem and the knapsack problem as we pointed out in section 113 the decision versions of these problems are np complete. Pdf on jan 1 1996 jr eg coffman and others published approximation algorithms for np hard problems find read and cite all the research you need on researchgate. Approximation algorithms have developed in response to the impossibility of solving a great variety of important optimization problems too frequently when attempting to get a solution for a problem one is confronted with the fact that the problem is np hard this in the words of garey and johnson means i cant find an efficient algorithm but . Algorithms are at the heart of problem solving in scientific computing and computer science unfortunately many of the combinatorial problems that arise in a computational context are np hard so that optimal solutions are unlikely to be found in
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