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The main focus of this paper is a pair of new approximation algorithms for certain integer programs. First, for covering integer programs {min cx:Ax≥b,0≤x≤d} where A has at most k nonzeroes per row, we give a k-approximation algorithm. (We assume A,b,c,d a ...
A well studied special case of bin packing is the 3-partition problem, where n items of size > 1/4 have to be packed in a minimum number of bins of capacity one. The famous Karmarkar-Karp algorithm transforms a fractional solution of a suitable LP relaxati ...
Siam, 3600 Univ City Science Center, Philadelphia, Pa 19104-2688 Usa2011
We analyze a short-term revenue optimization problem that involves the optimal targeting of customers for a promotion in which a finite number of perishable items are sold on a last-minute offer. The goal is to select the subset of customers to whom the of ...
We provide the currently fastest randomized (1+epsilon)-approximation algorithm for the closest vector problem in the infinity-norm. The running time of our method depends on the dimension n and the approximation guarantee epsilon by 2^(O(n))(log(1/epsilon ...
Acm Order Department, P O Box 64145, Baltimore, Md 21264 Usa2011
We consider the problem of designing controllers for nonholonomic mobile robots converging to the source (minimum) of a field. In addition to the mobility constraints posed by the nonholonomic dynamics, we assume that the field is completely unknown to the ...
The single-source shortest path problem (SSSP) frequently arises in practical applications of todays Intelligent Transport Systems (ITS). E.g. for route planning or traffic assignment, several variants of Dijkstra’s algorithm or the A* algorithm have been ...
The study of genomic inversions (or reversals) has been a mainstay of computational genomics for nearly 20 years. After the initial breakthrough of Hannenhalli and Pevzner, who gave the first polynomial-time algorithm for sorting signed permutations by inv ...
We consider the problem of computing additively approximate Nash equilibria in noncooperative two-player games. We provide a new polynomial time algorithm that achieves an approximation guarantee of 0.36392. We first provide a simpler algorithm, that achie ...
Many atomic broadcast algorithms have been published in the last twenty years. Token based algorithms represent a large class of these algorithms. Interestingly, all the token based atomic broadcast algorithms rely on a group membership service and none of ...
We present a new approximation algorithm for rate-monotonic multiprocessor scheduling of periodic tasks with implicit deadlines. We prove that for an arbitrary parameter k it yields solutions with at most (3/2 + 1/k)*OPT+9k many processors, thus it gives a ...
