Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems
Journal of the ACM (JACM)
Cost-effective traffic grooming in WDM rings
IEEE/ACM Transactions on Networking (TON)
The Multiple Subset Sum Problem
SIAM Journal on Optimization
A Polynomial Time Approximation Scheme for the Multiple Knapsack Problem
RANDOM-APPROX '99 Proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems: Randomization, Approximation, and Combinatorial Algorithms and Techniques
Networks
A Polynomial Time Approximation Scheme for the Multiple Knapsack Problem
SIAM Journal on Computing
Traffic grooming in WDM ring networks to minimize the maximum electronic port cost
Optical Switching and Networking
Online routing and wavelength assignment in single-hub WDM rings
IEEE Journal on Selected Areas in Communications
On optimal traffic grooming in WDM rings
IEEE Journal on Selected Areas in Communications
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This paper addresses the problem of traffic grooming in WDM rings in which all traffic emanates from a single node and all other nodes are destination nodes. This "one-to-many" scenario arises in metropolitan access networks in which one node serves as a "hub" connecting the ring to a larger network as well as in video-on-demand and other multimedia services where a single source node serves a collection of subscriber nodes. The ring comprises a given number of wavelengths of uniform capacity and a variable number of tunable Add-Drop Multiplexers (ADMs) at each node. Given a set of requests at the destination nodes, where each request comprises a bandwidth demand and a profit for fulfilling the request, our objective is to select a subset of the requests and pack ("groom") them onto the wavelengths such that no wavelength's capacity is exceeded and the total profit of the selected requests is maximized. Although this problem is NP-complete, we give polynomial time approximation algorithms with excellent theoretical performance validated with experimental results.