Dynamic Variable Ordering Based Concurrent Search for Distributed CSPs

2007 ◽  
Author(s):  
Chunhui LIU ◽  
Jigui SUN ◽  
Jian GAO
Keyword(s):  
Dynamic Variable ◽  
Variable Ordering

scholarly journals Effects of Dynamic Variable - Value Ordering Heuristics on the Search Space of Sudoku Modeled as a Constraint Satisfaction Problem

2019 ◽  
Vol 22 (63) ◽  
pp. 1-15
Author(s):  
James L. Cox ◽  
Stephen Lucci ◽  
Tayfun Pay
Keyword(s):  
Constraint Satisfaction ◽  
Constraint Satisfaction Problem ◽  
Search Space ◽  
Constraint Satisfaction Problems ◽  
Decision Making Process ◽  
Dynamic Variable ◽  
Filtering Algorithm ◽  
Variable Ordering ◽  
Encoding Method ◽  
Variable Ordering Heuristics

We carry out a detailed analysis of the effects of different dynamic variable and value ordering heuristics on the search space of Sudoku when the encoding method and the filtering algorithm are fixed. Our study starts by examining lexicographical variable and value ordering and evaluates different combinations of dynamic variable and value ordering heuristics. We eventually build up to a dynamic variable ordering heuristic that has two rounds of tie-breakers, where the second tie-breaker is a dynamic value ordering heuristic. We show that our method that uses this interlinked heuristic outperforms the previously studied ones with the same experimental setup. Overall, we conclude that constructing insightful dynamic variable ordering heuristics that also utilize a dynamic value ordering heuristic in their decision making process could drastically improve the search effort for some constraint satisfaction problems.

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