Topic
Static routing
About: Static routing is a research topic. Over the lifetime, 25733 publications have been published within this topic receiving 576732 citations.
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TL;DR: The algorithms are based on Gallager's method and provide methods for iteratively updating the routing table entries of each node in a manner that guarantees convergence to a minimum delay routing and utilize second derivatives of the objective function.
Abstract: We propose a class of algorithms for finding an optimal quasi-static routing in a communication network. The algorithms are based on Gallager's method [1] and provide methods for iteratively updating the routing table entries of each node in a manner that guarantees convergence to a minimum delay routing. Their main feature is that they utilize second derivatives of the objective function and may be viewed as approximations to a constrained version of Newton's method. The use of second derivatives results in improved speed of convergence and automatic stepsize scaling with respect to level of traffic input. These advantages are of crucial importance for the practical implementation of the algorithm using distributed computation in an environment where input traffic statistics gradually change.
162 citations
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01 Dec 2003TL;DR: A node-centric algorithm that constructs a load-balanced tree in sensor networks of asymmetric architecture is designed and it is found that the algorithm achieves routing trees that are more effectively balanced than the routing based on breadth-first search (BFS) and shortest-path obtained by Dijkstra's algorithm.
Abstract: By spreading the workload across a sensor network, load balancing reduces hot spots in the sensor network and increases the energy lifetime of the sensor network. In this paper, we design a node-centric algorithm that constructs a load-balanced tree in sensor networks of asymmetric architecture. We utilize a Chebyshev Sum metric to evaluate via simulation the balance of the routing trees produced by our algorithm. We find that our algorithm achieves routing trees that are more effectively balanced than the routing based on breadth-first search (BFS) and shortest-path obtained by Dijkstra's algorithm.
162 citations
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TL;DR: A new QoS routing algorithm, called the Tunable Accuracy Multiple Constraints Routing Algorithm (TAMCRA), which can solve multiple constraints problems with a finite but small probability ofMissing a path that satisfies all constraints while the probability of missing such a path is tunable with a single parameter k.
161 citations
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TL;DR: An exact method is described that decomposes the 2E-CVRP into a limited set of multidepot capacitated vehicle routing problems with side constraints and outperforms the state-of-the-art exact methods.
Abstract: In the two-echelon capacitated vehicle routing problem (2E-CVRP), the delivery to customers from a depot uses intermediate depots, called satellites. The 2E-CVRP involves two levels of routing problems. The first level requires a design of the routes for a vehicle fleet located at the depot to transport the customer demands to a subset of the satellites. The second level concerns the routing of a vehicle fleet located at the satellites to serve all customers from the satellites supplied from the depot. The objective is to minimize the sum of routing and handling costs. This paper describes a new mathematical formulation of the 2E-CVRP used to derive valid lower bounds and an exact method that decomposes the 2E-CVRP into a limited set of multidepot capacitated vehicle routing problems with side constraints. Computational results on benchmark instances show that the new exact algorithm outperforms the state-of-the-art exact methods.
161 citations
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29 Sep 2000
TL;DR: In this article, a heuristic algorithm uses a scaling phase that iteratively adjusts a maximum arc capacity, determines the resulting tree for the iteration, and selects the tree as the routing tree that provides the "maximum" flow.
Abstract: A packet network of interconnected nodes employs a method of routing with service-level guarantees to determine a path through the network for a requested multicast, label-switched path Each of the nodes includes one or more routers that forward packets based on a forwarding table constructed from a directed tree determined in accordance with the method of multicast routing with service-level guarantees. For a first implementation, a heuristic algorithm uses a scaling phase that iteratively adjusts a maximum arc capacity, determines the resulting tree for the iteration, and selects the tree as the routing tree that provides the “maximum” flow. For a second implementation, the heuristic algorithm computes maximum multicast flows and determines links in the network that are “critical” to satisfy future multicast routing requests. A multicast routing tree is selected such that provisioning the flows over its links “minimally interferes” with capacity of paths needed for future demands.
161 citations