Made available in DSpace on 2016-12-23T14:21:18Z (GMT). No. of bitstreams: 1 Andre Manhaes Machado.pdf: 1039285 bytes, checksum: 2b356c4d0279c975232bd92c5e2ab326 (MD5) Previous issue date: 2013-11-16 / O petróleo é a principal fonte energética do mundo contemporâneo, insumo básico de diversos setores econômicos. Com a descoberta do Pré-sal, o Brasil tem a oportunidade de tornar-se um dos maiores produtores de petróleo. Entretanto, para que isso seja alcançado, vários desafios deverão ser superados e, dentre eles, encontra-se o problema de transporte de empregados para operarem as plataformas offshore, distantes até 300km de distância da costa brasileira. Os problemas referentes ao deslocamento de empregados por meio de helicópteros são usualmente tratados como o Capacitated Helicopter Routing Problem (CHRP). Com base nas restrições de origem e de destino de cada cliente, no número de veículos e na capacidade e restrições de voo dos helicópteros, neste tipo de problema deseja-se minimizar os custos de aluguel de helicópteros mais o custo total de quilômetros voados. A presente dissertação propõe um modelo de Programação Linear Inteira Mista (PLIM) para o problema de roteirização de helicópteros com base no Dial-a-Ride Problem (DARP). Além do modelo apresentado, foram apresentados duas abordagens para a execução do modelo de forma exata: i) abordagem sem agrupamento, na qual as requisições que possuem origens iguais e destinos iguais são modeladas como requisições distintas e ii) abordagem com agrupamento, na qual requisições que possuem origens iguais e destinos iguais são aglutinados numa nova e única requisição. O modelo matemático foi executado no software CPLEX e os resultados mostraram que instâncias com até 25 requisições podem ser resolvidas pela abordagem com agrupamento / Oil is the main energy source of contemporary world; it is basic inputs of various economic sectors. With the discovery of Brazil pre-salt, there is an opportunity to become one of the largest oil producers. However, to achieve her own goals, Brazil must overcome several challenges, including the problem of transporting employees to operate offshore platforms 300km distant away from the Brazilian coast. Problems related to displacement of employees by helicopters are usually treated as Capacitated Helicopter Routing Problem (CHRP). Based on source and destination restrictions of each client, the number of vehicles, capacity and helicopter flight constraints, this type of problem proposes to minimize the cost of renting helicopters and the total cost of flown kilometers. This dissertation proposes a model of Mixed Integer Linear Programming (MILP) for the helicopters routing problem based on a Dial-a-Ride Problem (DARP). Besides the presented model, we presented two approaches to implementing the model in an exact way: i) non-clustered approach, in which requests that have the same origin and destination are equal modeled as separate requests; and ii) clustered approach, in which requests that have the same origins and destinations are clumped together in a new single request. The mathematical model was implemented in software CPLEX and results showed that instances with up to 25 requests can be resolved in the clustered approach

La performance logistique des entreprises et l’optimisation des transports sont devenues un grand problème ces dernières années. La planification et l’optimisation des services constituent en particulier un nouveau défi. Afin d’accroître la productivité et de réduire les coûts de la logistique, ce travail de recherche contribue à l’optimisation d’un problème de tournées de service à domicile multi-dépôt, multi-période avec fenêtres de temps de vie réelle. Le problème vient d’un contexte réaliste et est formulé comme un modèle en Mixed Integer Programming (MIP). Les résultats avec Cplex montrent que ce problème ne peut être résolu par des méthodes exactes dans un délai raisonnable pour une utilisation pratique. Par conséquent, nous introduisons des heuristiques. Premièrement, les heuristiques de recherche locales sont utilisées pour résoudre le problème. Les solutions réalisables initiales sont générées par une heuristique de construction et plusieurs heuristiques de recherche locales sont appliquées pour obtenir des solutions dans un temps de calcul assez court. Ensuite, nous proposons un algorithme génétique avec une nouvelle représentation du chromosome et de nouveaux opérateurs génétiques pour le problème abordé. Enfin, nous considérons un algorithme génétique avec contrôle de la diversité pour problèmes à grande échelle. Les solutions infaisables sont prises en compte dans la population et la contribution à la diversité fait partie de l’évaluation afin d’éviter une recherche prématurée. Ces méthodes ont été mises en œuvre avec succès pour optimiser le problème de routage. / The logistics performance of enterprises and the optimization of transportation have become a great issue in recent years. Field force planning and optimization is a new challenge for the service sector. In order to increase productivity and reduce cost of logistics, this research contributes to the optimization of a real-life multi-depot multi-period field service routing problem with time window. The problem is abstracted from the realistic problem and formulated as a Mixed Integer Programming (MIP) model. Computational results with Cplex show that this problem cannot be solved by exact methods in reasonable time for practical use. First, local search heuristics are used for solving the problem. Initial feasible solutions are generated by a constructive heuristic and several local search heuristics are applied to obtain solutions in a very short computing time. Then we propose a genetic algorithm with new representation of chromosome and new genetic operators for the addressed problem. Finally we consider a genetic algorithm with diversity control to deal with large scale problems. Infeasible solutions are taken account in the population and the diversity contribution is part of the evaluation to avoid premature of search. These methods have been successfully implemented to the optimization of the routing problem

Les réseaux maillés sans fil (WMNs - Wireless Mesh Networks) sont une technologie émergente qui prend de l'importance parmi les traditionnels systèmes de communication sans fil. Toutefois, WMNs sont particulièrement vulnérables à des attaques externes et internes en raison de leurs attributs inhérents tels que le moyen de communication ouverte et l'architecture décentralisée. Dans cette recherche, nous proposons un système complet de détection d'intrusion distribué et coopératif qui détecte efficacement et effectivement des attaques au WMN en temps réel. Notre mécanisme de détection d'intrusion est basé sur l'échange fiable des événements du réseau et la coopération active entre les nœuds participants. Dans notre approche distribuée, systèmes de détection d'intrusion (IDS - Intrusion Detection System,) sont indépendamment installé dans chaque nœud mesh pour surveiller passivement le comportement de routage du nœud et en même temps surveiller le comportement de son voisinage. Sur cette base, nous avons d'abord développé un Analyseur de Protocole de Routage (APR) qui génère avec précision des événements de routage à partir du trafic observée, qui sont ensuite traités par le propre nœud et échangés entre les nœuds voisins. Deuxièmement, nous proposons un Mécanisme de Détection d'Intrusion Distribué (MDID) pratique, qui calcule périodiquement des Métriques de mal comportement précises en faisant usage des événements de routage générés et des Contraintes de Routage prédéfinies qui sont extraites à partir du comportement du protocole. Troisièmement, nous proposons un Mécanisme de Consensus Coopérative, qui est déclenché parmi les nœuds voisins si tout comportement malveillant est détecté. Le Mécanisme de Consensus Coopérative analyse les Métriques de mal comportement et partage les Résultats de Détection d'Intrusion parmi les voisins pour traquer la source de l'intrusion. Pour valider notre recherche, nous avons mis en œuvre la solution de détection d'intrusion distribuée en utilisant une plate-forme de réseau mesh virtualisée composé de machines virtuelles (VM - Virtual Machines) interconnectés. Nous avons également implémenté plusieurs attaques de routage pour évaluer la performance des mécanismes de détection d'intrusion / Wireless Mesh Network (WMN) is an emerging technology that is gaining importance among traditional wireless communication systems. However, WMNs are particularly vulnerable to external and insider attacks due to their inherent attributes such as open communication medium and decentralized architecture. In this research, we propose a complete distributed and cooperative intrusion detection system for efficient and effective detection of WMN attacks in real-time. Our intrusion detection mechanism is based on reliable exchange of network events and active cooperation between the participating nodes. In our distributed approach, Intrusion Detection Systems (IDSs) are independently placed at each mesh node to passively monitor the node routing behavior and concurrently monitor the neighborhood behavior. Based on that, we first implement a Routing Protocol Analyzer (RPA) that accuracy generates Routing Events from the observed traffic, which are then processed by the own node and exchanged between neighboring nodes. Second, we propose a practical Distributed Intrusion Detection Engine (DIDE) component, which periodically calculates accurate Misbehaving Metrics by making use of the generated Routing Events and pre-defined Routing Constraints that are extracted from the protocol behavior. Third, we propose a Cooperative Consensus Mechanism (CCM), which is triggered among the neighboring nodes if any malicious behavior is detected. The CCM module analyzes the Misbehaving Metrics and shares Intrusion Detection Results among the neighbors to track down the source of intrusion. To validate our research, we implemented the distributed intrusion detection solution using a virtualized mesh network platform composed of virtual machines (VMs) interconnected. We also implemented several routing attacks to evaluate the performance of the intrusion detection mechanisms

Skalierbares schlüssel-basiertes Routing in verteilten Systemen ist eine Methode zur Weiterleitung von Nachrichten zu den für die Partition verantwortlichen Maschinen. Diese Technik findet Verwendung in Key-Value Speichersystemen, Content Distribution Networks oder auch beim Media Streaming. Einer der Gründe für die Verbreitung ist die Einfachheit der Routingabstraktion, bei welcher der Entwickler sich nicht um die Details des Gruppenmanagements oder Datenreplikation kümmern muss. Auf der anderen Seite sind die meisten schlüssel-basierten Routingverfahren optimistische Verfahren, bei denen der Datenzugriff keine strenge Konsistenz bietet. In dieser Arbeit präsentieren wir das System Recode mit dem schlüssel-basierten Routingabstraktion routecast, welches eine strengere Zugriffssemantik ermöglicht. Dabei garantiert routecast, dass Nachrichten eines bestimmten Schlüssels in der gleichen Reihenfolge an alle Replikate geliefert werden. Mit Hilfe dieser strengeren Garantien können auch Anwendungen wie Koordinations- oder Metadatendienste bzw. konsistente Speichersysteme das schlüssel-basierte Routing verwenden. Recode ist außerdem rekonfigurierbar bei Veränderungen der zur Verfügung stehenden Maschinen sowie bei Auslastungsänderung. Es ist ein komplett dezentralisiertes System und enthält damit keinen single-point of failure oder Systemengpass. Die drei Hauptbeiträge der Arbeit sind 1) die Abstraktion der Gruppenkommunikation unter Verwendung von Primary/Backup mit Leases für ein failover des Primary, 2) die Entwicklung und die Algorithmen der routcast-Primitive, 3) Mechanismen zur atomaren Rekonfiguration des dezentralen Schlüsselraumes. Um die Einfachheit unseres Ansatzes zu betonen, beschreiben wir außerdem drei verschiedene Anwendungen aufbauend auf Recode. Abschließend zeigen wir durch die Evaluation von Recode in einer Cluster-Umgebung die Leistungsfähigkeit. / Scalable key-based routing in distributed systems, where a mes- sage is forwarded towards a machine responsible for a partition in a large key space, has been used in many services such as key-value stores, content distribution networks and media streaming. This success can mainly be attributed to the simplicity of the route ab- straction, a developer does not need to care about the mechanisms for membership management, load balancing or data replication. A limitation, however, is that most key-based routing solutions are best-effort, which means that only eventually consistent data access is possible. This thesis presents a system (Recode) with a key-based routing primitive called routecast which provides strong delivery semantics. More specifically, routecast guarantees that a message for a key is delivered in the same total order at a set of replicas. With stronger guarantees, applications such as coordination and metadata services as used in large storage systems or consistent key-value stores can use key-based routing. Additionally, Recode aims to be both re- configurable, to handle changes to the machines running the service and updates to the workload, and fully decentralized which means there is no single point of failure or bottleneck. We make three main contributions in this thesis: 1) a group com- munication abstraction using primary/backup with leases for pri- mary fail-over, 2) the design and algorithms of the routecast-primitive and, 3) mechanisms for atomic reconfiguration of a decentralized key space. Each part of the system is broken up into modules and presented with a specification and a set of algorithms. To validate the simplicity claim, we describe how to implement three different applications on top of Recode. Finally, we evaluate Recode in a cluster environment and show that the performance is competitive.

In dieser Arbeit werden die Mšglichkeiten sicherer Ausgliederung von Datenbanken und inhaltsbasiertem Routing an einen nicht voll vertrauenswŸrdigen Dienstanbieter betrachtet. Wir untersuchen die Grenzen der Sicherheit, die in diesem Szenario erreicht werden kšnnen. Sicherheit wird dabei unter Zuhilfenahme aktueller komplexitŠtstheoretischer Arbeiten definiert. Dies ermšglicht die Verwendung formaler Methoden zur Untersuchung der Bedingungen, unter denen verschiedene Grade von Sicherheit mšglich sind. Die BeitrŠge dieser Dissertation sind im Einzelnen: - Wir untersuchen die Eignung sog. Privacy-Homomorphismen, welche die AusfŸhrung von Operationen auf verschlŸsselten Daten erlauben. Dies dient der Entwicklung von Protokollen zur sicheren Datenbankausgliederung. Weiter beschreiben wir ein allgemeines Framework fŸr sichere Datenbankausgliederung, das auf sog. Volltextsuch-VerschlŸsselungsverfahren basiert. Ferner stellen wir einen Beweis fŸr die Sicherheit und Korrektheit vor. - Wir beschreiben ein neues Volltextsuch-VerschlŸsselungsverfahren, das im Vergleich zu bekannten Arbeiten eine grš§ere Anzahl verschiedener Operationen fŸr das Datenbank-Outsourcing-Problem ermšglicht und signifikant niedrigere Fehlerraten hat. - Wir schlagen einen Ansatz vor, um im Kontext der sicheren Datenbank-Auslagerung Blanko-Zugriffe auf die verschlŸsselten Daten zu verwalten. Verglichen mit existierenden Techniken ist unser Ansatz anwendbar auf generellere Szenarien, ist einfacher und hat Šhnliche Effizienzeigenschaften. - Wir untersuchen die Mšglichkeit des sicheren inhaltsbasierten Routings, in dem wir ein formales Sicherheitsmodell konstruieren, existierende AnsŠtze in diesem Modell bewerten und eine formale Analyse der Mšglichkeit von Vertraulichkeit durchfŸhren. Unser Sicherheitsmodell deckt die UnzulŠnglichkeiten der bestehenden AnsŠtze auf. Schlie§lich beschreiben wir ein inhaltsbasiertes Routingverfahren, welches das Modell erfŸllt. / This thesis considers the possibilities of secure outsourcing of databases and of content-based routing operations to an untrusted service provider. We explore the limits of the security that is achievable in these scenarios. When discussing security, we refer to the state of the art definitions from cryptography and complexity theory. The key contributions of the thesis are the following: - We explore the applicability of cryptographic constructs that allow performing operations over encrypted data, also known as privacy homomorphisms, for creating protocols that could enable secure database outsourcing. We also describe a framework for secure database outsourcing that is based on searchable encryption schemes, and prove its correctness and security. - We describe a new searchable encryption scheme that exceeds existing analogues with regard to certain parameters: compared to the existing works, the proposed scheme allows for performing a larger number of operations over a securely outsourced database and has significantly lower chances of returning erroneous results of a search. - We propose an approach for managing discretionary access to securely outsourced and encrypted databases. Compared to existing techniques, our approach is applicable to more general scenarios, is simpler and has similar performance characteristics. - We examine possibilities of performing a secure content-based routing by building a formal security model that describes a secure content-based routing system, evaluate existing approaches against this model, and provide an analysis of the possibilities for achieving confidentiality when performing the routing. Compared to the existing works, which fail in providing complete confidentiality, our security model considers shortcomings of these solutions. We also describe a content-based routing system that satisfies this model and to the best of our knowledge is the first of its kind to provide a complete confidentiality.

The popularity of ubiquitous Internet services has spurred the fast growth of wireless communications by launching data hungry multimedia applications to mobile devices. Powered by spectrum agile cognitive radios, the newly emerged cognitive radio networks (CRN) are proposed to provision the efficient spectrum reuse to improve spectrum utilization. Unlicensed users in CRN, or secondary users (SUs), access the temporarily idle channels in a secondary and opportunistic fashion while preventing harmful interference to licensed primary users (PUs). To effectively detect and exploit the spectrum access opportunities released from a wide spectrum, the heterogeneous wireless channel characteristics and the underlying prioritized spectrum reuse features need to be considered in the protocol design and resource management schemes in CRN, which plays a critical role in unlicensed spectrum sharing among multiple users. The purpose of this dissertation is to address the challenges of utilizing heterogeneous wireless channels in CRN by its intrinsic dynamic and diverse natures, and build the efficient, scalable and, more importantly, practical dynamic spectrum access mechanisms to enable the cost-effective transmissions for unlicensed users. Note that the spectrum access opportunities exhibit the diversity in the time/frequency/space domain, secondary transmission schemes typically follow three design principles including 1) utilizing local free channels within short transmission range, 2) cooperative and opportunistic transmissions, and 3) effectively coordinating transmissions in varying bandwidth. The entire research work in this dissertation casts a systematic view to address these principles in the design of the routing protocols, medium access control (MAC) protocols and radio resource management schemes in CRN. Specifically, as spectrum access opportunities usually have small spatial footprints, SUs only communicate with the nearby nodes in a small area. Thus, multi-hop transmissions in CRN are considered in this dissertation to enable the connections between any unlicensed users in the network. CRN typically consist of intermittent links of varying bandwidth so that the decision of routing is closely related with the spectrum sensing and sharing operations in the lower layers. An efficient opportunistic cognitive routing (OCR) scheme is proposed in which the forwarding decision at each hop is made by jointly considering physical characteristics of spectrum bands and diverse activities of PUs in each single band. Such discussion on spectrum aware routing continues coupled with the sensing selection and contention among multiple relay candidates in a multi-channel multi-hop scenario. An SU selects the next hop relay and the working channel based upon location information and channel usage statistics with instant link quality feedbacks. By evaluating the performance of the routing protocol and the joint channel and route selection algorithm with extensive simulations, we determine the optimal channel and relay combination with reduced searching complexity and improved spectrum utilization. Besides, we investigate the medium access control (MAC) protocol design in support of multimedia applications in CRN. To satisfy the quality of service (QoS) requirements of heterogeneous applications for SUs, such as voice, video, and data, channels are selected to probe for appropriate spectrum opportunities based on the characteristics and QoS demands of the traffic along with the statistics of channel usage patterns. We propose a QoS-aware MAC protocol for multi-channel single hop scenario where each single SU distributedly determines a set of channels for sensing and data transmission to satisfy QoS requirements. By analytical model and simulations, we determine the service differentiation parameters to provision multiple levels of QoS. We further extend our discussion of dynamic resource management to a more practical deployment case. We apply the experiences and skills learnt from cognitive radio study to cellular communications. In heterogeneous cellular networks, small cells are deployed in macrocells to enhance link quality, extend network coverage and offload traffic. As different cells focus on their own operation utilities, the optimization of the total system performance can be analogue to the game between PUs and SUs in CRN. However, there are unique challenges and operation features in such case. We first present challenging issues including interference management, network coordination, and interworking between cells in a tiered cellular infrastructure. We then propose an adaptive resource management framework to improve spectrum utilization and mitigate the co-channel interference between macrocells and small cells. A game-theory-based approach is introduced to handle power control issues under constrained control bandwidth and limited end user capability. The inter-cell interference is mitigated based upon orthogonal transmissions and strict protection for macrocell users. The research results in the dissertation can provide insightful lights on flexible network deployment and dynamic spectrum access for prioritized spectrum reuse in modern wireless systems. The protocols and algorithms developed in each topic, respectively, have shown practical and efficient solutions to build and optimize CRN.

Network on Chip (NoC) has emerged as a competitive and efficient communication infrastructure for the core based design of System on Chip. Resource (core), router and interface between router and core are the three main parts of a NoC. Each core communicates with the network through the interface, also called Resource Network Interface (RNI). One approach to speed up the design at NoC based systems is to develop standardized RNI. Design of RNI depends to some extent on the type of routing technique used in NoC. Control of route decision base the categorization of source and distributed routing algorithms. In source routing a complete path to the destination is provided in the packet header at the source, whereas in distributed routing, the path is dynamically computed in routers as the packet moves through the network. Buffering, flitization, deflitization and transfer of data from core to router and vice versa, are common responsibilities of RNI in both types of routing. In source routing, RNI has an extra functionality of storing complete paths to all destinations in tables, extracting path to reach a desired destination and adding it in the header flit. In this thesis, we have made an effort towards designing and prototyping a standardized and efficient RNI for both source and distributed routing. VHDL is used as a design language and prototyping of both types RNI has been carried out on Altera DE2 FPGA board. Testing of RNI was conducted by using Nios II soft core. Simulation results show that the best case flit latency, for both types RNI is 4 clock cycles. RNI design is also resource efficient because it consumes only 2% of the available resources on the target platform.

This work describes the design and implementation of a generic architecture to provide a collective solution for power-aware routing to a wide range of problems in wireless sensor network environments. Power aware-routing is integral to the proposed solutions for different problems. These solutions try to achieve power-efficient routing specific to the problem domain. This can lead to challenging technical problems and deployment barriers when attempting to integrate the solutions. This work extracts various factors to be considered for a range of problems in wireless sensor networks and provides a generic framework for efficient power-aware routing. The architecture aims to relieve researchers from considering power management in their design. We have identified coupling between sources and sinks as the main factor for different design choices for a range of problems. We developed a core-based hierarchical routing framework for efficient power-aware routing that is used to decouple the sources from sinks. The architecture uses only local interaction for scalability and stability in a dynamic network. The architecture provides core-based query forwarding and data dissemination. It uses data aggregation and query aggregation at core nodes to reduce the amount of data to be transmitted. The architecture can be easily extended to incorporate protocols to provide QoS and security to the applications. We use network simulations to evaluate the performance of cluster formation and energy efficiency of the algorithm. Our results show that energy efficiency of the algorithm is better when the transmission range is kept to a minimum for network connectivity as compared to adjustable transmission range.

Overlay networks have been the subject of significant research and practical interest recently in addressing the inefficiency and ossification of the current Internet. In this thesis, we cover various aspects of overlay network design, including overlay routing algorithms, overlay network assignment and multihomed overlay networks. We also examine the behavior of overlay networks under a wide range of network settings and identify several key factors that affect the performance of overlay networks. Based on these findings, practical design guidelines are also given. Specifically, this thesis addresses the following problems: 1) Dynamic overlay routing: We perform an extensive simulation study to investigate the performance of available bandwidth-based dynamic overlay routing from three important aspects: efficiency, stability, and safety margin. Based on the findings, we propose a hybrid routing scheme that achieves good performance in all three aspects. We also examine the effects of several factors on overlay routing performance, including network load, traffic variability, link-state staleness, number of overlay hops, measurement errors, and native sharing effects. 2) Virtual network assignment: We investigate the virtual network (VN) assignment problem in the scenario of network virtualization. Specifically, we develop a basic VN assignment scheme without reconfiguration and use it as the building block for all other advanced algorithms. Subdividing heuristics and adaptive optimization strategies are presented to further improve the performance. We also develop a selective VN reconfiguration scheme that prioritizes the reconfiguration for the most critical VNs. 3) Overlay network configuration tool for PlanetLab: We develop NetFinder, an automatic overlay network configuration tool to efficiently allocate PlanetLab resources to individual overlays. NetFinder continuously monitors the resource utilization of PlanetLab and accepts a user-defined overlay topology as input and selects the set of PlanetLab nodes and their interconnection for the user overlay. 4) Multihomed overlay network: We examine the effectiveness of combining multihoming and overlay routing from the perspective of an overlay service provider (OSP). We focus on the corresponding design problem and examine, with realistic network performance and pricing data, whether the OSP can provide a network service that is profitable, better (in terms of round-trip time), and less expensive than the competing native ISPs.

The clock is the important synchronizing element in all synchronous digital systems. The difference in the clock arrival time between sink points is called the clock skew. This uncertainty in arrival times will limit operating frequency and might cause functional errors. Various clock routing techniques can be broadly categorized into 'balanced tree' and 'fixed mesh' methods. The skew and delay using the balanced tree method is higher compared to the fixed mesh method. Although fixed mesh inherently uses more wire length, the redundancy created by loops in a mesh structure reduces undesired delay variations. The fixed mesh method uses a single mesh over the entire chip but it is hard to introduce clock gating in a single clock mesh. This thesis deals with the introduction of 'reconfigurability' by using control structures like transmission gates between sub-clock meshes, thus enabling clock gating in clock mesh. By using the optimum value of size for PMOS and NMOS of transmission gate (SZF) and optimum number of transmission gates between sub-clock meshes (NTG) for 4x4 reconfigurable mesh, the average of the maximum skew for all benchmarks is reduced by 18.12 percent compared to clock mesh structure when no transmission gates are used between the sub-clock meshes (reconfigurable mesh with NTG =0). Further, the research deals with a ‘modified zero skew method' to connect synchronous flip-flops or sink points in the circuit to the clock grids of clock mesh. The wire length reduction algorithms can be applied to reduce the wire length used for a local clock distribution network. The modified version of ‘zero skew method’ of local clock routing which is based on Elmore delay balancing aims at minimizing wire length for the given bounded skew of CDN using clock mesh and H-tree. The results of ‘modified zero skew method' (HC_MZSK) show average local wire length reduction of 17.75 percent for all ISPD benchmarks compared to direct connection method. The maximum skew is small for HC_MZSK in most of the test cases compared to other methods of connections like direct connections and modified AHHK. Thus, HC_MZSK for local routing reduces the wire length and maximum skew.