Approximation schemes for the restricted shortest path problem
Mathematics of Operations Research
Introduction to Algorithms
An improved FPTAS for restricted shortest path
Information Processing Letters
An Ultra-fast Shared Path Protection Scheme - Distributed Partial Information Management, Part II
ICNP '02 Proceedings of the 10th IEEE International Conference on Network Protocols
Segment shared protection in mesh communications networks with bandwidth guaranteed tunnels
IEEE/ACM Transactions on Networking (TON)
IEEE/ACM Transactions on Networking (TON)
Dynamic Routing of Reliability-Differentiated Connections in WDM Optical Networks
LCN '05 Proceedings of the The IEEE Conference on Local Computer Networks 30th Anniversary
All-optical WDM multi-rings with differentiated QoS
IEEE Communications Magazine
A differentiated optical services model for WDM networks
IEEE Communications Magazine
Restorable dynamic quality of service routing
IEEE Communications Magazine
A simple efficient approximation scheme for the restricted shortest path problem
Operations Research Letters
Design protection for WDM optical networks
IEEE Journal on Selected Areas in Communications
Optimal design and evaluation of survivable WDM transport networks
IEEE Journal on Selected Areas in Communications
Location-based restoration mechanism for multi-domain GMPLS networks
SPECTS'09 Proceedings of the 12th international conference on Symposium on Performance Evaluation of Computer & Telecommunication Systems
Restoration in multi-domain GMPLS-based networks
Computer Communications
Computer Networks: The International Journal of Computer and Telecommunications Networking
An overview of algorithms for network survivability
ISRN Communications and Networking
Survivable green IP over WDM networks against double-link failures
Computer Networks: The International Journal of Computer and Telecommunications Networking
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Reliability has been well recognized as an important design objective in the design of modern high-speed networks. While traditional approaches offer either 100% protection in the presence of single link failure or no protection at all, connections in real networks may have multiple reliability requirements. The concept of differentiated reliability (DiR) has been introduced in the literature to provide multiple reliability requirements in protection schemes that provision spare resources. In this paper, we consider the problem of routing connections with differentiated reliability in wavelength-division multiplexing (WDM) mesh networks when backup sharing is not allowed. Our objective is to route connections with minimum network cost (e.g., network resources) while meeting their required reliability. We assume connections arrive dynamically one-at-a-time and a decision as to accept or reject a connection has to be made without a priori knowledge of future arrivals. Since sharing cannot be used for achieving efficiency, the goal is to achieve efficiency by improved path selection. In this paper, we first present an integer linear programming (ILP) formulation for the problem. By solving the ILP formulation, we can obtain an optimal solution with respect to the current network state for each dynamic arrival. To solve the ILP formulation, however, is time consuming for large networks. We thus propose two approximation algorithms for the problem. The first one, called Shortest-Path-Pair-based Auxiliary graph (SPPA), can obtain an Ɛ-approximation solution whose cost is at most 1 + Ɛ times the optimum in O((n2(n + 1) + 2mn)(log log(2n) + 1/Ɛ))time, where n and m are the number of nodes and links in a network, respectively. To reduce the computational complexity of the first algorithm, the second algorithm, called Auxiliary graph-based Two-Step Approach (ATSA), is proposed and can obtain a near optimal solution with cost at most 2 + Ɛ times that of the optimal solution in O(mn(log log n+1/Ɛ)) time. Results from extensive simulations conducted on two typical carrier mesh networks show the efficiency of the two algorithms.