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HEURISTICS
2002
155views more  HEURISTICS 2002»
13 years 7 months ago
Bounds and Heuristics for the Shortest Capacitated Paths Problem
Given a graph G, the Shortest Capacitated Paths Problem (SCPP) consists of determining a set of paths of least total length, linking given pairs of vertices in G, and satisfying c...
Marie-Christine Costa, Alain Hertz, Michel Mittaz
EVOW
2007
Springer
14 years 1 months ago
Combining Lagrangian Decomposition with an Evolutionary Algorithm for the Knapsack Constrained Maximum Spanning Tree Problem
We present a Lagrangian decomposition approach for the Knapsack Constrained Maximum Spanning Tree problem yielding upper bounds as well as heuristic solutions. This method is furth...
Sandro Pirkwieser, Günther R. Raidl, Jakob Pu...
CORR
2012
Springer
224views Education» more  CORR 2012»
12 years 3 months ago
On the Lagrangian Biduality of Sparsity Minimization Problems
We present a novel primal-dual analysis on a class of NPhard sparsity minimization problems to provide new interpretations for their well known convex relaxations. We show that th...
Dheeraj Singaraju, Ehsan Elhamifar, Roberto Tron, ...
NETWORKS
2008
13 years 7 months ago
Lagrangian relaxation and enumeration for solving constrained shortest-path problems
Recently published research indicates that a vertex-labeling algorithm based on dynamic-programming concepts is the most efficient procedure available for solving constrained shor...
W. Matthew Carlyle, Johannes O. Royset, R. Kevin W...