SCCWalk: An efficient local search algorithm and its improvements for maximum weight clique problem

2020 ◽  
Vol 280 ◽  
pp. 103230 ◽  
Author(s):  
Yiyuan Wang ◽  
Shaowei Cai ◽  
Jiejiang Chen ◽  
Minghao Yin
Keyword(s):  
Local Search ◽  
Search Algorithm ◽  
Local Search Algorithm ◽  
Maximum Weight ◽  
Maximum Weight Clique ◽  
Clique Problem

An efficient local search algorithm for solving maximum edge weight clique problem in large graphs

2020 ◽  
Vol 39 (4) ◽  
pp. 933-954
Author(s):  
Yi Chu ◽  
Boxiao Liu ◽  
Shaowei Cai ◽  
Chuan Luo ◽  
Haihang You
Keyword(s):  
Local Search ◽  
Search Algorithm ◽  
Edge Weight ◽  
Local Search Algorithm ◽  
Large Graphs ◽  
Clique Problem

scholarly journals A Matheuristic Approach Combining Local Search and Mathematical Programming

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Carolina Lagos ◽  
Guillermo Guerrero ◽  
Enrique Cabrera ◽  
Stefanie Niklander ◽  
Franklin Johnson ◽  
...  
Keyword(s):  
Mathematical Programming ◽  
Local Search ◽  
Large Scale ◽  
Search Algorithm ◽  
Facility Location Problem ◽  
Specific Information ◽  
Local Search Algorithm ◽  
Capacitated Facility Location Problem ◽  
Capacitated Facility Location ◽  
Installation Cost

A novel matheuristic approach is presented and tested on a well-known optimisation problem, namely, capacitated facility location problem (CFLP). The algorithm combines local search and mathematical programming. While the local search algorithm is used to select a subset of promising facilities, mathematical programming strategies are used to solve the subproblem to optimality. Proposed local search is influenced by instance-specific information such as installation cost and the distance between customers and facilities. The algorithm is tested on large instances of the CFLP, where neither local search nor mathematical programming is able to find good quality solutions within acceptable computational times. Our approach is shown to be a very competitive alternative to solve large-scale instances for the CFLP.

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