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» Bounding Smooth Integers
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EOR
2006
83views more  EOR 2006»
13 years 7 months ago
Lower bounds and heuristic algorithms for the k
We consider the problem of partitioning a set of positive integers values into a given number of subsets, each having an associated cardinality limit, so that the maximum sum of v...
Mauro Dell'Amico, Manuel Iori, Silvano Martello, M...
COCOA
2010
Springer
13 years 5 months ago
Feasibility-Based Bounds Tightening via Fixed Points
Abstract. The search tree size of the spatial Branch-and-Bound algorithm for Mixed-Integer Nonlinear Programming depends on many factors, one of which is the width of the variable ...
Pietro Belotti, Sonia Cafieri, Jon Lee, Leo Libert...
ESA
2001
Springer
61views Algorithms» more  ESA 2001»
14 years 4 days ago
A Separation Bound for Real Algebraic Expressions
Real algebraic expressions are expressions whose leaves are integers and whose internal nodes are additions, subtractions, multiplications, divisions, k-th root operations for int...
Christoph Burnikel, Stefan Funke, Kurt Mehlhorn, S...
IPPS
1998
IEEE
13 years 12 months ago
Processor Lower Bound Formulas for Array Computations and Parametric Diophantine Systems
Using a directed acyclic graph (dag) model of algorithms, we solve a problem related to precedenceconstrained multiprocessor schedules for array computations: Given a sequence of ...
Peter R. Cappello, Ömer Egecioglu
NETWORKS
2008
13 years 7 months ago
Lower bounds for two-period grooming via linear programming duality
In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so t...
Charles J. Colbourn, Gaetano Quattrocchi, Violet R...