2015
DOI: 10.1016/j.engappai.2015.08.012
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A three-phase search approach for the quadratic minimum spanning tree problem

Abstract: Given an undirected graph with costs associated with each edge as well as each pair of edges, the quadratic minimum spanning tree problem (QMSTP) consists of determining a spanning tree of minimum total cost. This problem can be used to model many real-life network design applications, in which both routing and interference costs should be considered. For this problem, we propose a three-phase search approach named TPS, which integrates 1) a descent-based neighborhood search phase using two different move oper… Show more

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Cited by 21 publications
(9 citation statements)
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References 27 publications
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“…The partitioning algorithm must iterate the segmentation of the tree and then select the best subtree scheme [6]. In this work, the homogeneity of the partition results is defined to represent the difference between the heterogeneity of the originally adjacent tree of the province and the sum of the heterogeneity of all subtrees.…”
Section: Regionalization With the First-order-clk Methodsmentioning
confidence: 99%
“…The partitioning algorithm must iterate the segmentation of the tree and then select the best subtree scheme [6]. In this work, the homogeneity of the partition results is defined to represent the difference between the heterogeneity of the originally adjacent tree of the province and the sum of the heterogeneity of all subtrees.…”
Section: Regionalization With the First-order-clk Methodsmentioning
confidence: 99%
“…The proposed ITPS algorithm was inspired by the threephase approach presented in [21]. Even if the work of [21] concerns a particular optimization problem (i.e., the quadratic minimum spanning tree problem), the approach is of general interest and has been applied to other problems such as clique partitioning [22].…”
Section: Iterated Three-phase Search For the Cbp A Main Schemementioning
confidence: 99%
“…The proposed ITPS algorithm was inspired by the threephase approach presented in [21]. Even if the work of [21] concerns a particular optimization problem (i.e., the quadratic minimum spanning tree problem), the approach is of general interest and has been applied to other problems such as clique partitioning [22]. In this work, we adapted this threephase approach to the CBP by reusing its general framework and making dedicated adaptations to deal with the particular features of our considered problem.…”
Section: Iterated Three-phase Search For the Cbp A Main Schemementioning
confidence: 99%
“…Three-phase search minimum sum coloring problem [1] quadratic minimum spanning tree problem [15] quadratic assignment problem [2] maximally diverse grouping problem [23] maximum clique problem [3] capacitated clustering problem [24] max-cut problem [4] max-k-cut problem [26] vertex separator problem [5] clique partitioning problem [36] Steiner tree problem [14] minimum differential dispersion problem assembly sequence planning problem [16] single-machine total weighted tardiness problem [11] Breakout local search introduced in [1,5] combines local search with a dedicated and adaptive perturbation mechanism. Its basic idea is to use a descent-based local search procedure to intensify the search in a given search region, and to perform dedicated perturbations to jump into a new promising search region once a local optimum is encountered.…”
Section: Breakout Local Searchmentioning
confidence: 99%