Approximating NP-hard Problems Efficient Algorithms and their Limits
نویسندگان
چکیده
منابع مشابه
Highly parallel approximations for inherently sequential problems
In this work we study classes of optimization problems that require inherently sequential algorithms to solve exactly but permit highly parallel algorithms for approximation solutions. NC is the class of computational problems decidable by a logarithmic space uniform family of Boolean circuits of bounded fan-in, polynomial size, and polylogarithmic depth. Such problems are considered both “effi...
متن کاملLec . 1 : Approximation Algorithms for NP - hard problems
In this course, we will be studying, as the title suggests, the approximability and inapproximability (limits of approximability) of different combinatorial optimization problems. All the problems we will be looking at will be ones that lack efficient algorithms and in particular will be NP-hard problems. The last two-three decades has seen remarkable progress in approximation algorithms for se...
متن کاملSolving the Traveling Salesman Problem by an Efficient Hybrid Metaheuristic Algorithm
The traveling salesman problem (TSP) is the problem of finding the shortest tour through all the nodes that a salesman has to visit. The TSP is probably the most famous and extensively studied problem in the field of combinatorial optimization. Because this problem is an NP-hard problem, practical large-scale instances cannot be solved by exact algorithms within acceptable computational times. ...
متن کاملSolving the Traveling Salesman Problem by an Efficient Hybrid Metaheuristic Algorithm
The traveling salesman problem (TSP) is the problem of finding the shortest tour through all the nodes that a salesman has to visit. The TSP is probably the most famous and extensively studied problem in the field of combinatorial optimization. Because this problem is an NP-hard problem, practical large-scale instances cannot be solved by exact algorithms within acceptable computational times. ...
متن کاملA modified elite ACO based avoiding premature convergence for travelling salesmen problem
The Travelling Salesmen Problem (TSP) is one of the most important and famous combinational optimization problems that aim to find the shortest tour. In this problem, the salesman starts to move from an arbitrary place called depot and after visiting all nodes, finally comes back to depot. Solving this problem seems hard because program statement is simple and leads this problem belonging to NP...
متن کامل