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2008

Modeling and solving the rooted distance-constrained minimum spanning tree problem

10 years 2 months ago
Modeling and solving the rooted distance-constrained minimum spanning tree problem
In this paper we discuss models and methods for solving the rooted distance constrained minimum spanning tree problem which is defined as follows: given a graph G = (V, E) with node set V = {0, 1, . . . , n} and edge set E, two integer weights, a cost ce and a delay we associated with each edge e of E, and a natural (time limit) number H, we wish to find a spanning tree T of the graph with minimum total cost and such that the unique path from a specified root node, node 0, to any other node has total delay not greater than H. This problem generalizes the well known hop-constrained spanning tree problem and arises in the design of centralized networks with quality of service constraints and also in package shipment with service guarantee constraints. We present three theoretically equivalent modeling approaches, a column generation scheme, a Lagrangian relaxation combined with subgradient optimization procedure, both based on a path formulation of the problem, and a shortest path (comp...
Luis Gouveia, Ana Paias, Dushyant Sharma
Added 25 Dec 2010
Updated 25 Dec 2010
Type Journal
Year 2008
Where COR
Authors Luis Gouveia, Ana Paias, Dushyant Sharma
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