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- W2583492247 abstract "One runs into the following dilemma while designing an approximation algorithm for an NP-hard optimization problem: for establishing the performance guarantee of the algorithm, the cost of the solution found needs to be compared with that of the optimal; however, computing the cost of the optimal is NP-hard as well. Hence a key consideration is establishing a good lower bound on the cost of the optimal solution, assuming we have a minimization problem. For optimization problems that can be expressed as integer programming problems, the following general methodology has been quite successful: use the cost of the optimal solution to the LP-relaxation as the lower bound. In fact, LP-duality not only provides a method of lower bounding the cost of the optimal solution, but also a general schema for designing the algorithm itself: the primal-dual schema. This schema has been applied to several problems including set cover and its generalizations [Jo, Lo, Ch, RV], the generalized Steiner network problem [AKR, GW, KR, WGMV, G+], and finding integral multicommodity flow and multicut in trees [GVY]." @default.
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- W2583492247 date "1995-01-01" @default.
- W2583492247 modified "2023-09-23" @default.
- W2583492247 title "Primal-dual schema based approximation algorithms" @default.
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- W2583492247 doi "https://doi.org/10.1007/bfb0030890" @default.
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