Approximation algorithms for np hard problems edited by dorit s hochbaum published july 1996 words from the editor author numerous practical problems are integer optimization problems that are intractable such problems are commonly addressed with heuristics that provide a solution but not information on the solutions quality the . Likely to be such an algorithm ever discovered for many of these problems are np hard and such an algorithm would imply that every problem in np could be solved quickly ie pnp which is considered unlikely1 one option in such a case is to seek an approximation algorithm an. Philip n klein neal e young approximation algorithms for np hard optimization problems algorithms and theory of computation handbook general concepts and techniques chapman hall crc 2010 raphael clifford alexandru popa maximum subset intersection information processing letters v111 n7 p323 325 march 2011. 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
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