Theory of linear and integer programming
Theory of linear and integer programming
Randomized rounding: a technique for provably good algorithms and algorithmic proofs
Combinatorica - Theory of Computing
SIAM Journal on Discrete Mathematics
On the k-coloring of intervals
Discrete Applied Mathematics
Optical networks: a practical perspective
Optical networks: a practical perspective
A threshold of ln n for approximating set cover
Journal of the ACM (JACM)
Optimal wavelength routing on directed fiber trees
Theoretical Computer Science
The complexity of path coloring and call scheduling
Theoretical Computer Science
The Maximum Edge-Disjoint Paths Problem in Bidirected Trees
SIAM Journal on Discrete Mathematics
Approximating Circular Arc Colouring and Bandwidth Allocation in All-Optical Ring Networks
APPROX '98 Proceedings of the International Workshop on Approximation Algorithms for Combinatorial Optimization
Satisfying a maximum number of pre-routed requests in all-optical rings
Computer Networks: The International Journal of Computer and Telecommunications Networking - Small and home networks
Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP
Journal of the ACM (JACM)
SIAM Journal on Discrete Mathematics
A 6/5-Approximation Algorithm for the Maximum 3-Cover Problem
MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
1.5-Approximation algorithm for weighted maximum routing and wavelength assignment on rings
Information Processing Letters
Constrained matching problems in bipartite graphs
ISCO'12 Proceedings of the Second international conference on Combinatorial Optimization
Randomized and approximation algorithms for blue-red matching
MFCS'07 Proceedings of the 32nd international conference on Mathematical Foundations of Computer Science
Hi-index | 0.00 |
We study computationally hard combinatorial problems arising from the important engineering question of how to maximize the number of connections that can be simultaneously served in a WDM optical network. In such networks, WDM technology can satisfy a set of connections by computing a route and assigning a wavelength to each connection so that no two connections routed through the same fiber are assigned the same wavelength. Each fiber supports a limited number of w wavelengths and in order to fully exploit the parallelism provided by the technology, one should select a set connections of maximum cardinality which can be satisfied using the available wavelengths. This is known as the maximum routing and path coloring problem (maxRPC). Our main contribution is a general analysis method for a class of iterative algorithms for a more general coloring problem. A lower bound on the benefit of such an algorithm in terms of the optimal benefit and the number of available wavelengths is given by a benefit-revealing linear program. We apply this method to maxRPC in both undirected and bidirected rings to obtain bounds on the approximability of several algorithms. Our results also apply to the problem maxPC where paths instead of connections are given as part of the input. We also study the profit version of maxPC in rings where each path has a profit and the objective is to satisfy a set of paths of maximum total profit.