Any unexpected disruption to WDM (Wavelength Division Multiplexing) based optical networks which carry data traffic at tera-bit per second may result in a huge loss to its end-users and the carrier itself. Thus survivability has been well-recognized as one of the most important objectives in the design of optical Internet. This thesis proposes a novel survivable routing architecture for the optical Internet. We focus on a number of key issues that are essential to achieve the desired service scenarios, including the tasks of (a) minimizing the total number of wavelengths used for establishing working and protection paths in WDM networks; (b) minimizing the number of affected working paths in case of a link failure; (c) handling large scale WDM mesh networks; and (d) supporting both Quality of Service (QoS) and best-effort based working lightpaths. To implement the above objectives, a novel path based shared protection framework namely Group Shared protection (GSP) is proposed where the traffic matrix can be divided into multiple protection groups (PGs) based on specific grouping policy, and optimization is performed on these PGs. To the best of our knowledge this is the first work done in the area of group based WDM survivable routing approaches where not only the resource sharing is conducted among the PGs to achieve the best possible capacity efficiency, but also an integrated survivable routing framework is provided by incorporating the above objectives. Simulation results show the effectiveness of the proposed schemes.

Any unexpected disruption to WDM (Wavelength Division Multiplexing) based optical networks which carry data traffic at tera-bit per second may result in a huge loss to its end-users and the carrier itself. Thus survivability has been well-recognized as one of the most important objectives in the design of optical Internet. This thesis proposes a novel survivable routing architecture for the optical Internet. We focus on a number of key issues that are essential to achieve the desired service scenarios, including the tasks of (a) minimizing the total number of wavelengths used for establishing working and protection paths in WDM networks; (b) minimizing the number of affected working paths in case of a link failure; (c) handling large scale WDM mesh networks; and (d) supporting both Quality of Service (QoS) and best-effort based working lightpaths. To implement the above objectives, a novel path based shared protection framework namely Group Shared protection (GSP) is proposed where the traffic matrix can be divided into multiple protection groups (PGs) based on specific grouping policy, and optimization is performed on these PGs. To the best of our knowledge this is the first work done in the area of group based WDM survivable routing approaches where not only the resource sharing is conducted among the PGs to achieve the best possible capacity efficiency, but also an integrated survivable routing framework is provided by incorporating the above objectives. Simulation results show the effectiveness of the proposed schemes.

In order to meet the availability requirements of modern communication networks, a number of survivability techniques were developed that adapt the demand-wise shared protection design model to incorporate strategies increasing network availability. The survivability methodologies developed took two approaches. The first incorporated availability directly into the network design model. The second ensured minimum dual failure restorability was set within the model. These methodologies were developed for predetermined topologies, as well as to have topology optimization incorporated into the model. All methodologies were implemented and analyzed on a set of samples. The analysis examined cost, topology and actual availability of the network designs. Availability design was effective but computationally intensive and difficult to design. Minimum dual failure restorability was also effective in increasing availability with a significant caveat, dual failure restorability increased exposure to possible failures, and without sufficient levels of dual failure restorability could have a negative impact on availability. / Engineering Management

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La survie des réseaux est un domaine d'étude technique très intéressant ainsi qu'une préoccupation critique dans la conception des réseaux. Compte tenu du fait que de plus en plus de données sont transportées à travers des réseaux de communication, une simple panne peut interrompre des millions d'utilisateurs et engendrer des millions de dollars de pertes de revenu. Les techniques de protection des réseaux consistent à fournir une capacité supplémentaire dans un réseau et à réacheminer les flux automatiquement autour de la panne en utilisant cette disponibilité de capacité. Cette thèse porte sur la conception de réseaux optiques intégrant des techniques de survie qui utilisent des schémas de protection basés sur les p-cycles. Plus précisément, les p-cycles de protection par chemin sont exploités dans le contexte de pannes sur les liens. Notre étude se concentre sur la mise en place de structures de protection par p-cycles, et ce, en supposant que les chemins d'opération pour l'ensemble des requêtes sont définis a priori. La majorité des travaux existants utilisent des heuristiques ou des méthodes de résolution ayant de la difficulté à résoudre des instances de grande taille. L'objectif de cette thèse est double. D'une part, nous proposons des modèles et des méthodes de résolution capables d'aborder des problèmes de plus grande taille que ceux déjà présentés dans la littérature. D'autre part, grâce aux nouveaux algorithmes, nous sommes en mesure de produire des solutions optimales ou quasi-optimales. Pour ce faire, nous nous appuyons sur la technique de génération de colonnes, celle-ci étant adéquate pour résoudre des problèmes de programmation linéaire de grande taille. Dans ce projet, la génération de colonnes est utilisée comme une façon intelligente d'énumérer implicitement des cycles prometteurs. Nous proposons d'abord des formulations pour le problème maître et le problème auxiliaire ainsi qu'un premier algorithme de génération de colonnes pour la conception de réseaux protegées par des p-cycles de la protection par chemin. L'algorithme obtient de meilleures solutions, dans un temps raisonnable, que celles obtenues par les méthodes existantes. Par la suite, une formulation plus compacte est proposée pour le problème auxiliaire. De plus, nous présentons une nouvelle méthode de décomposition hiérarchique qui apporte une grande amélioration de l'efficacité globale de l'algorithme. En ce qui concerne les solutions en nombres entiers, nous proposons deux méthodes heurisiques qui arrivent à trouver des bonnes solutions. Nous nous attardons aussi à une comparaison systématique entre les p-cycles et les schémas classiques de protection partagée. Nous effectuons donc une comparaison précise en utilisant des formulations unifiées et basées sur la génération de colonnes pour obtenir des résultats de bonne qualité. Par la suite, nous évaluons empiriquement les versions orientée et non-orientée des p-cycles pour la protection par lien ainsi que pour la protection par chemin, dans des scénarios de trafic asymétrique. Nous montrons quel est le coût de protection additionnel engendré lorsque des systèmes bidirectionnels sont employés dans de tels scénarios. Finalement, nous étudions une formulation de génération de colonnes pour la conception de réseaux avec des p-cycles en présence d'exigences de disponibilité et nous obtenons des premières bornes inférieures pour ce problème. / Network survivability is a very interesting area of technical study and a critical concern in network design. As more and more data are carried over communication networks, a single outage can disrupt millions of users and result in millions of dollars of lost revenue. Survivability techniques involve providing some redundant capacity within the network and automatically rerouting traffic around the failure using this redundant capacity. This thesis concerns the design of survivable optical networks using p-cycle based schemes, more particularly, path-protecting p-cycles, in link failure scenarios. Our study focuses on the placement of p-cycle protection structures assuming that the working routes for the set of connection requests are defined a priori. Most existing work carried out on p-cycles concerns heuristic algorithms or methods suffering from critical lack of scalability. Thus, the objective of this thesis is twofold: on the one hand, to propose scalable models and solution methods enabling to approach larger problem instances and on the other hand, to produce optimal or near optimal solutions with mathematically proven optimality gaps. For this, we rely on the column generation technique which is suitable to solve large scale linear programming problems. Here, column generation is used as an intelligent way of implicitly enumerating promising cycles to be part of p-cycle designs. At first, we propose mathematical formulations for the master and the pricing problems as well as the first column generation algorithm for the design of survivable networks based on path-protecting p-cycles. The resulting algorithm obtains better solutions within reasonable running time in comparison with existing methods. Then, a much more compact formulation of the pricing problem is obtained. In addition, we also propose a new hierarchical decomposition method which greatly improves the efficiency of the whole algorithm and allows us to solve larger problem instances. As for integer solutions, two heuristic approaches are proposed to obtain good solutions. Next, we dedicate our attention to a systematic comparison of p-cycles and classical shared protection schemes. We perform an accurate comparison by using a unified column generation framework to find provably good results. Afterwards, our study concerns an empirical evaluation of directed and undirected link- and path-protecting p-cycles under asymmetric traffic scenarios. We show how much additional protection cost results from employing bidirectional systems in such scenarios. Finally, we investigate a column generation formulation for the design of p-cycle networks under availability requirements and obtain the first lower bounds for the problem.

La survie des réseaux est un domaine d'étude technique très intéressant ainsi qu'une préoccupation critique dans la conception des réseaux. Compte tenu du fait que de plus en plus de données sont transportées à travers des réseaux de communication, une simple panne peut interrompre des millions d'utilisateurs et engendrer des millions de dollars de pertes de revenu. Les techniques de protection des réseaux consistent à fournir une capacité supplémentaire dans un réseau et à réacheminer les flux automatiquement autour de la panne en utilisant cette disponibilité de capacité. Cette thèse porte sur la conception de réseaux optiques intégrant des techniques de survie qui utilisent des schémas de protection basés sur les p-cycles. Plus précisément, les p-cycles de protection par chemin sont exploités dans le contexte de pannes sur les liens. Notre étude se concentre sur la mise en place de structures de protection par p-cycles, et ce, en supposant que les chemins d'opération pour l'ensemble des requêtes sont définis a priori. La majorité des travaux existants utilisent des heuristiques ou des méthodes de résolution ayant de la difficulté à résoudre des instances de grande taille. L'objectif de cette thèse est double. D'une part, nous proposons des modèles et des méthodes de résolution capables d'aborder des problèmes de plus grande taille que ceux déjà présentés dans la littérature. D'autre part, grâce aux nouveaux algorithmes, nous sommes en mesure de produire des solutions optimales ou quasi-optimales. Pour ce faire, nous nous appuyons sur la technique de génération de colonnes, celle-ci étant adéquate pour résoudre des problèmes de programmation linéaire de grande taille. Dans ce projet, la génération de colonnes est utilisée comme une façon intelligente d'énumérer implicitement des cycles prometteurs. Nous proposons d'abord des formulations pour le problème maître et le problème auxiliaire ainsi qu'un premier algorithme de génération de colonnes pour la conception de réseaux protegées par des p-cycles de la protection par chemin. L'algorithme obtient de meilleures solutions, dans un temps raisonnable, que celles obtenues par les méthodes existantes. Par la suite, une formulation plus compacte est proposée pour le problème auxiliaire. De plus, nous présentons une nouvelle méthode de décomposition hiérarchique qui apporte une grande amélioration de l'efficacité globale de l'algorithme. En ce qui concerne les solutions en nombres entiers, nous proposons deux méthodes heurisiques qui arrivent à trouver des bonnes solutions. Nous nous attardons aussi à une comparaison systématique entre les p-cycles et les schémas classiques de protection partagée. Nous effectuons donc une comparaison précise en utilisant des formulations unifiées et basées sur la génération de colonnes pour obtenir des résultats de bonne qualité. Par la suite, nous évaluons empiriquement les versions orientée et non-orientée des p-cycles pour la protection par lien ainsi que pour la protection par chemin, dans des scénarios de trafic asymétrique. Nous montrons quel est le coût de protection additionnel engendré lorsque des systèmes bidirectionnels sont employés dans de tels scénarios. Finalement, nous étudions une formulation de génération de colonnes pour la conception de réseaux avec des p-cycles en présence d'exigences de disponibilité et nous obtenons des premières bornes inférieures pour ce problème. / Network survivability is a very interesting area of technical study and a critical concern in network design. As more and more data are carried over communication networks, a single outage can disrupt millions of users and result in millions of dollars of lost revenue. Survivability techniques involve providing some redundant capacity within the network and automatically rerouting traffic around the failure using this redundant capacity. This thesis concerns the design of survivable optical networks using p-cycle based schemes, more particularly, path-protecting p-cycles, in link failure scenarios. Our study focuses on the placement of p-cycle protection structures assuming that the working routes for the set of connection requests are defined a priori. Most existing work carried out on p-cycles concerns heuristic algorithms or methods suffering from critical lack of scalability. Thus, the objective of this thesis is twofold: on the one hand, to propose scalable models and solution methods enabling to approach larger problem instances and on the other hand, to produce optimal or near optimal solutions with mathematically proven optimality gaps. For this, we rely on the column generation technique which is suitable to solve large scale linear programming problems. Here, column generation is used as an intelligent way of implicitly enumerating promising cycles to be part of p-cycle designs. At first, we propose mathematical formulations for the master and the pricing problems as well as the first column generation algorithm for the design of survivable networks based on path-protecting p-cycles. The resulting algorithm obtains better solutions within reasonable running time in comparison with existing methods. Then, a much more compact formulation of the pricing problem is obtained. In addition, we also propose a new hierarchical decomposition method which greatly improves the efficiency of the whole algorithm and allows us to solve larger problem instances. As for integer solutions, two heuristic approaches are proposed to obtain good solutions. Next, we dedicate our attention to a systematic comparison of p-cycles and classical shared protection schemes. We perform an accurate comparison by using a unified column generation framework to find provably good results. Afterwards, our study concerns an empirical evaluation of directed and undirected link- and path-protecting p-cycles under asymmetric traffic scenarios. We show how much additional protection cost results from employing bidirectional systems in such scenarios. Finally, we investigate a column generation formulation for the design of p-cycle networks under availability requirements and obtain the first lower bounds for the problem.

A busca de sistemas de comunicação eficientes e econômicos é cada vez maior, principalmente com o aumento da demanda por tráfego e banda de transmissão. Conhecidas pela utilização eficiente de largura de banda, as redes ópticas de segmentação espectral flexível têm sido intensamente estudadas e são consideradas boas candidatas para a próxima geração de redes. Tais redes flexíveis utilizam formatos de modulação multinível e multiplexação multiportadora. Sistemas com alta capacidade de transmissão devem ser extremamente confiáveis, pois a falha em um dispositivo ou enlace da rede acarreta enorme perda de dados. Por isso, as técnicas de proteção e restauração do tráfego devem ser eficientes, de modo a garantir a sobrevivência da rede. Neste trabalho, foi desenvolvido um algoritmo capaz de lidar com cada requisição de conexão, encontrar um caminho óptico para transmissão e reservar outro caminho para recuperação do tráfego em caso de falha na rede. A seleção dos caminhos primário e de proteção utiliza a técnica smart-fit, que escolhe a solução com menor custo final, definido pela distância da rota percorrida somada ao custo do índice inicial da faixa espectral alocada, buscando equilibrar a escolha entre a posição no espectro e rota escolhida. Além disso, são definidos custos diferentes para slots de frequência livres e compartilhados, a fim de incentivar o compartilhamento espectral em caminhos de proteção. Dentre as técnicas de alocação espectral, a varredura com janela espectral varre o espectro em todos os enlaces da rota, slot por slot, em busca de uma faixa livre com tamanho suficiente para atender uma demanda. Neste trabalho, foi desenvolvida uma técnica chamada busca lógica, que lida simultaneamente com todos os enlaces da rota ao realizar operações lógicas com seus espectros. Em seguida, é realizada uma convolução entre a janela espectral, com tamanho da demanda, e o espectro resultante. A partir desse resultado, é possível saber as posições no espectro onde a demanda poderá ser alocada. Tal técnica, como será demonstrado, é mais veloz que a varredura com janela espectral. Para garantir a eficácia e confiabilidade do algoritmo, utilizando o software MATLAB, avaliou-se a probabilidade de bloqueio e probabilidade de bloqueio de banda, a fragmentação espectral média na rede, o grau de compartilhamento, a taxa de utilização espectral e a taxa de capacidade reservada. O algoritmo desenvolvido foi capaz de organizar o tráfego na rede de modo ordenado e pouco fragmentado, além de utilizar de maneira eficiente os recursos destinados à proteção. / The search for efficient and economical communication systems is increasing, especially with the increased demand for traffic and bandwidth transmission. The elastic optical networks, well known for their efficient using of bandwidth, have been thoroughly studied and are considered good candidates for the next generation networks. Such flexible networks use multilevel modulation formats and multicarrier multiplexing. Systems with high transmission capacity should be extremely reliable, as a failure in a device or link brings huge data loss. Therefore, traffic protection and restoration techniques should be efficient, to ensure network survivability. In this work, we propose an algorithm capable of managing each connection request, finding an optical path for transmission and a protection path to recover traffic in case of network failure. The selection of the primary and protection path uses the smart-fit technique, which chooses the solution with the lower final cost, defined by the route\'s distance plus the index\'s cost of the first slot of the allocated spectrum, in order to balance the choice between the position in the spectrum and the chosen route. In addition, different costs for free or shared frequency slots are defined, so as to encourage spectral sharing in protection paths. Among the spectrum allocation techniques, scanning with spectrum window scans the spectrum in all links of the route, slot by slot, searching for a free band large enough to meet the demand. In this work, we developed a new technique, called logical search, that simultaneously deals with all the links in the route, by performing logical operations with them. Then, a convolution is performed between a spectrum window, with the same size of the demand, and the resulting spectrum. From this result, it is possible to know all the positions in the spectrum where the demand may fit. This technique, as will be shown, is faster than the scan with spectrum window. To guarantee the efficiency and reliability of the algorithm, using the MATLAB software, we evaluated the blocking probability and bandwidth blocking probability, the average spectral fragmentation in the network, the shareability ratio, the spectral utilization ratio and the spare capacity ratio. The developed algorithm was able to organize the traffic in an orderly and less fragmented way, and use the protection resources efficiently.

A busca de sistemas de comunicação eficientes e econômicos é cada vez maior, principalmente com o aumento da demanda por tráfego e banda de transmissão. Conhecidas pela utilização eficiente de largura de banda, as redes ópticas de segmentação espectral flexível têm sido intensamente estudadas e são consideradas boas candidatas para a próxima geração de redes. Tais redes flexíveis utilizam formatos de modulação multinível e multiplexação multiportadora. Sistemas com alta capacidade de transmissão devem ser extremamente confiáveis, pois a falha em um dispositivo ou enlace da rede acarreta enorme perda de dados. Por isso, as técnicas de proteção e restauração do tráfego devem ser eficientes, de modo a garantir a sobrevivência da rede. Neste trabalho, foi desenvolvido um algoritmo capaz de lidar com cada requisição de conexão, encontrar um caminho óptico para transmissão e reservar outro caminho para recuperação do tráfego em caso de falha na rede. A seleção dos caminhos primário e de proteção utiliza a técnica smart-fit, que escolhe a solução com menor custo final, definido pela distância da rota percorrida somada ao custo do índice inicial da faixa espectral alocada, buscando equilibrar a escolha entre a posição no espectro e rota escolhida. Além disso, são definidos custos diferentes para slots de frequência livres e compartilhados, a fim de incentivar o compartilhamento espectral em caminhos de proteção. Dentre as técnicas de alocação espectral, a varredura com janela espectral varre o espectro em todos os enlaces da rota, slot por slot, em busca de uma faixa livre com tamanho suficiente para atender uma demanda. Neste trabalho, foi desenvolvida uma técnica chamada busca lógica, que lida simultaneamente com todos os enlaces da rota ao realizar operações lógicas com seus espectros. Em seguida, é realizada uma convolução entre a janela espectral, com tamanho da demanda, e o espectro resultante. A partir desse resultado, é possível saber as posições no espectro onde a demanda poderá ser alocada. Tal técnica, como será demonstrado, é mais veloz que a varredura com janela espectral. Para garantir a eficácia e confiabilidade do algoritmo, utilizando o software MATLAB, avaliou-se a probabilidade de bloqueio e probabilidade de bloqueio de banda, a fragmentação espectral média na rede, o grau de compartilhamento, a taxa de utilização espectral e a taxa de capacidade reservada. O algoritmo desenvolvido foi capaz de organizar o tráfego na rede de modo ordenado e pouco fragmentado, além de utilizar de maneira eficiente os recursos destinados à proteção. / The search for efficient and economical communication systems is increasing, especially with the increased demand for traffic and bandwidth transmission. The elastic optical networks, well known for their efficient using of bandwidth, have been thoroughly studied and are considered good candidates for the next generation networks. Such flexible networks use multilevel modulation formats and multicarrier multiplexing. Systems with high transmission capacity should be extremely reliable, as a failure in a device or link brings huge data loss. Therefore, traffic protection and restoration techniques should be efficient, to ensure network survivability. In this work, we propose an algorithm capable of managing each connection request, finding an optical path for transmission and a protection path to recover traffic in case of network failure. The selection of the primary and protection path uses the smart-fit technique, which chooses the solution with the lower final cost, defined by the route\'s distance plus the index\'s cost of the first slot of the allocated spectrum, in order to balance the choice between the position in the spectrum and the chosen route. In addition, different costs for free or shared frequency slots are defined, so as to encourage spectral sharing in protection paths. Among the spectrum allocation techniques, scanning with spectrum window scans the spectrum in all links of the route, slot by slot, searching for a free band large enough to meet the demand. In this work, we developed a new technique, called logical search, that simultaneously deals with all the links in the route, by performing logical operations with them. Then, a convolution is performed between a spectrum window, with the same size of the demand, and the resulting spectrum. From this result, it is possible to know all the positions in the spectrum where the demand may fit. This technique, as will be shown, is faster than the scan with spectrum window. To guarantee the efficiency and reliability of the algorithm, using the MATLAB software, we evaluated the blocking probability and bandwidth blocking probability, the average spectral fragmentation in the network, the shareability ratio, the spectral utilization ratio and the spare capacity ratio. The developed algorithm was able to organize the traffic in an orderly and less fragmented way, and use the protection resources efficiently.