Title
A heuristic for the time constrained asymmetric linear sum assignment problem
Abstract
Abstract The linear sum assignment problem is a fundamental combinatorial optimisation problem and can be broadly defined as: given an \(n \times m, m \ge n\) benefit matrix \(B = (b_{ij})\), matching each row to a different column so that the sum of entries at the row-column intersections is maximised. This paper describes the application of a new fast heuristic algorithm, Asymmetric Greedy Search, to the asymmetric version (\(n \ne m\)) of the linear sum assignment problem. Extensive computational experiments, using a range of model graphs demonstrate the effectiveness of the algorithm. The heuristic was also incorporated within an algorithm for the non-sequential protein structure matching problem where non-sequential alignment between two proteins, normally of different numbers of amino acids, needs to be maximised.
Year
DOI
Venue
2017
10.1007/s10878-015-9979-2
Journal of Combinatorial Optimization
Keywords
Field
DocType
Heuristic search,Optimization,Linear sum assignment,Protein structure alignment
Weapon target assignment problem,Discrete mathematics,Mathematical optimization,Combinatorics,Heuristic,Heuristic (computer science),Matrix (mathematics),Generalized assignment problem,Greedy algorithm,Assignment problem,Linear bottleneck assignment problem,Mathematics
Journal
Volume
Issue
ISSN
33
2
1573-2886
Citations 
PageRank 
References 
0
0.34
8
Authors
4
Name
Order
Citations
PageRank
Peter Brown110.69
Yuedong Yang219623.47
Yaoqi Zhou31098.72
Wayne J. Pullan423212.73