Primal meets dual: A generalized theory of logical topology survivability in IP-over-WDM optical networks

Thulasiraman, K.; Javed, Muhammad; Xue, Guoliang

doi:10.1109/comsnets.2010.5432016

Cited by 15 publications

(8 citation statements)

References 18 publications

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“…We believe that the approach along with mathematical programming [1] and structural [2][3] [4] approaches provide several insights into the survivable logical topology routing problem in an IP-over-WDM optical network.…”

Section: Discussionmentioning

confidence: 99%

“…Then a single failure in physical edges (1,4), (1,6), (2,3), and (3, 4) not utilized by τ 1 does not disconnect logical tree branches (1, 2), (2,6), and (6, 4). Hence the logical network is connected.…”

Section: Basic Concepts and Notationsmentioning

confidence: 99%

“…Given Figure 3 as the physical topology, let the initial routing of logical edge u, where i(u) = 1 and (4,6), (6, 7), (7,8)} are required to protect u from failure. In other words, we need to add two parallel logical edges with p u , p u as their routing.…”

Section: A Survivable Routing Algorithm Based On Thementioning

confidence: 99%

See 2 more Smart Citations

Novel survivable logical topology routing in IP-over-WDM networks by logical protecting spanning tree set

Zhou

Lin

Thulasiraman

et al. 2012

2012 IV International Congress on Ultra Modern Telecommunications and Control Systems

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Abstract-The survivable logical topology mapping problem in an IP-over-WDM optical network is to map each link (u, v) in the logical topology (at the IP layer) into a lightpath between the nodes u and v in the physical topology (at the optical layer) such that failure of a physical link does not cause the logical topology to become disconnected. It is assumed that both the physical and logical topologies are at least 2-edge connected. Generating a survivable routing is an NP-complete problem. For this problem two lines of investigations have been pursued in the literature: the mathematical programming based approach initiated by Modiano et al., and the structural approach initiated by Kurant and Thiran and pursued further by Thulasiraman et al. The mathematical programming approach is not scalable for large networks, though it gives considerable insight into certain important aspects of the problem. The structural approach requires contraction and expansion of logical graphs and computing link-disjoint lightpaths between pairs of nodes in the physical topology. In this paper, we propose a novel approach based on the concept of protecting spanning tree set of the logical topology. The basic idea is to identify a set of spanning trees of the logical topology and a routing of the logical links such that at least one of these trees remains connected after a physical link failure. Given a set of trees of the logical topology we first present three optimization problems with varying degrees of difficulty relating to this approach and discuss their Integer Linear Programming formulations. We then consider the general case when both the tree set and a survivable routing are to be determined. For this general case we present a heuristic approach. We incorporate in this heuristic a method to augment the logical topology with additional links to guarantee a survivable routing. This approach has several interesting features. It only requires a shortest path algorithm and an algorithm to generate appropriate spanning trees. It also provides a framework for generating a survivable routing for the SRLG failure case. Contractions of graphs and disjoint path generation are not required that greatly reduces the computation time. We provide results of extensive simulations conducted to evaluate our new approach.

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Section: Discussionmentioning

confidence: 99%

Section: Basic Concepts and Notationsmentioning

confidence: 99%

See 1 more Smart Citation

Novel survivable logical topology routing in IP-over-WDM networks by logical protecting spanning tree set

Zhou

Lin

Thulasiraman

et al. 2012

2012 IV International Congress on Ultra Modern Telecommunications and Control Systems

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“…Some duality models, proposed in [7], are studied in [9]. Therein, Thulasiraman et al show that their previously published CIRCUIT and CUTSET models have the same algorithmic structures and can be generalized in a new generic CUTSET model.…”

Section: Literature Reviewmentioning

confidence: 97%

Using decomposition techniques for the design of survivable logical topologies

Jaumard

Hoang

Bùi

2011

2011 Fifth IEEE International Conference on Advanced Telecommunication Systems and Networks (ANTS)

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We study the design of logical survivable topologies for service protection against single or multiple failures in IPover-WDM networks where protection can be provided either at the optical layer, or at the network (IP) layer. Indeed, synergies need to be developed between IP and optical layers in order to optimize the resource utilization and to reduce the costs and the energy consumption of the future networks.We propose a new optimization model, an enhanced cutset model, which relies on a column generation reformulation for the design of a survivable logical topology. It is a highly scalable model and it makes possible the (near) exact solution of several benchmark instances, which were only solved with the help of heuristics so far. In addition, much larger instances than in previous studies can be solved as the proposed formulation avoids the explicit or implicit enumeration of cutsets. In the numerical experiments, we explore how survivability evolves when the number of failure sets increases. I. INTRODUCTIONThe design and the management of the future networks will rely on an all IP-design [1], [2], where more synergies will need to be developed between the IP and the optical layers in order to optimize the resource utilization, to reduce the energy consumption and the network costs, and to guarantee the Service Level Agreements (SLA) while bandwidth intensive applications, like video or IPTV services and on-line gaming, will continue to emerge [3].The example in Figure 1 illustrates a resiliency benefit of a synergy between the IP and the optical layers. Logical links are indicated by plain blue directional arrows, while optical spans are represented by black undirected lines, and mappings of logical links onto the physical topology are represented by dotted lines. Upon a failure of the physical span between the optical cross connect OXC 3 and OXC 2 , both logical links ℓ 1 from router R 3 to R 2 and ℓ 2 from router R 5 to R 4 are disrupted. Indeed, both logical links have a mapping using the same physical span between OXC 2 and OXC 3 . However, if the mapping of ℓ 2 = (R 5 , R 4 ) is changed from (OXC 4 /R 5 , OXC 2 , OXC 3 , OXC 5 /R 4 ) to (OXC 4 /R 5 , OXC 6 , OXC 5 /R 4 ), then the logical topology can survive to a failure on span (OXC 2 , OXC 3 ).Network failures, such as link or node failures, whether at the IP or optical layers, cannot be fully avoided. Consequently, a backup mechanism needs to be used. When a failure occurs, the backup mechanism establishes an alternative lightpath to carry the interrupted connections. Depending on whether this alternative lightpath is generated online or offline, the

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“…The SMART framework, proposed in [8], is revisited in [9] where Thulasiraman et al show that their previously CIRCUIT and CUTSET models published in [10], have the same algorithmic structures. This observation leads them to a new enhanced generic CUTSET model which eliminates the differences between the CIRCUIT and CUTSET previous models.…”

Section: Literature Reviewmentioning

confidence: 99%

Path vs. Cutset approaches for the design of logical survivable topologies

Jaumard

Hoang

Bùi

2012

2012 IEEE International Conference on Communications (ICC)

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Multi-layer optical networks have recently evolved towards IP-over-WDM networks. Therein, in order to avoid protection/restoration redundancies against either single or multiple failures, synergies need to be developed between IP and optical layers in order to reduce the costs and the energy consumption of the future IP-over-WDM networks.We propose two new optimization models. The first one is an enhanced cutset model, relying on a column generation reformulation. The second one is a path model, based on a multiflow formulation. Both models can solve exactly most benchmark instances, which were only solved heuristically so far. I. INTRODUCTIONThe design and the management of the future networks will rely on an all IP-design, where synergies will need to be developed between the IP and the optical layers in order to reduce the energy consumption and the network costs, as well as to guarantee the Service Level Agreements (SLA) while bandwidth greedy applications, like video services and IPTV services, will continue to grow.Network failures, such as link or node failures, cannot be fully avoided when it comes to network management. Consequently, a backup mechanism needs to be used to ensure the network connectivity. When a failure occurs, the backup mechanism establishes an alternative path to carry the interrupted connections. Depending on whether this alternative path is generated online or offline, the corresponding backup mechanism is referred to as restoration or protection, respectively. In multi-layer networks, failures, whether single or multiple ones, have been traditionally taken care by the layer in which they appear, throughout restoration mechanisms in the IP layer and protection or restoration ones in the optical layer. In order to enhance the efficiency of the future networks, with respect to costs, energy consumption and quality of service, cross-layer protection/restoration is now more often envisionedThe IP layer is referred to as the logical/virtual layer where each logical link is mapped to a lightpath (i.e., a direct optical connection without any intermediate electronics) in the optical/physical layer. A single duct failure in an optical network can result in several broken physical links, and consequently in several disrupted logical links, and in a disconnected logical topology. Hence, a first condition for the existence of a survivable logical topology is to remain connected (survivable) in case of any network failure [3], and then to make sure enough bandwidth is available in order to ensure successful IP restorations. However, synergies need to be developed in

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Primal meets dual: A generalized theory of logical topology survivability in IP-over-WDM optical networks

Cited by 15 publications

References 18 publications

Novel survivable logical topology routing in IP-over-WDM networks by logical protecting spanning tree set

Novel survivable logical topology routing in IP-over-WDM networks by logical protecting spanning tree set

Using decomposition techniques for the design of survivable logical topologies

Path vs. Cutset approaches for the design of logical survivable topologies

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