Research Article

A Variable Depth Search Algorithm for Binary Constraint Satisfaction Problems

Table 3

Benchmark instances: all unsolved instances solved.

Execution time and success ratio
Instances Min (sec)Max (sec)Mean (sec)Success ratio

frb30-15-1.csp 0.18 0.20 0.19 100%
frb30-15-2.csp 0.15 0.17 0.16 100%
frb30-15-3.csp 0.16 0.17 0.17 100%
frb30-15-4.csp 0.18 0.19 0.19 100%
frb30-15-5.csp 0.14 0.23 0.20 100%
frb35-17-1.csp 0.22 0.27 0.25 100%
frb35-17-2.csp 0.29 0.42 0.31 100%
frb35-17-3.csp 0.21 0.25 0.24 100%
frb35-17-4.csp 0.20 0.23 0.22 100%
frb35-17-5.csp 0.27 0.30 0.28 100%
frb40-19-1.csp 0.37 0.42 0.41 100%
frb40-19-2.csp 0.34 0.38 0.36 100%
frb40-19-3.csp 0.41 0.43 0.42 100%
frb40-19-4.csp 0.36 0.42 0.38 100%
frb40-19-5.csp 0.39 0.41 0.40 100%
frb45-21-1.csp 0.50 0.54 0.52 100%
frb45-21-2.csp 0.52 0.55 0.54 100%
frb45-21-3.csp 0.60 0.66 0.62 100%
frb45-21-4.csp 0.54 0.56 0.54 100%
frb45-21-5.csp 0.53 0.58 0.56 100%
frb50-23-4.csp 0.78 0.86 0.81 100%
frb53-24-2.csp 0.87 0.92 0.89 100%

frb50-23-1.csp 0.72 0.84 0.79 100%
frb50-23-2.csp 0.73 0.76 0.75 100%
frb50-23-3.csp 0.86 0.93 0.88 100%
frb50-23-5.csp 0.77 0.81 0.80 100%
frb53-24-1.csp 0.95 1.01 0.98 100%
frb53-24-3.csp 0.88 0.95 0.87 100%
frb53-24-4.csp 1.05 1.09 1.07 100%
frb53-24-5.csp 1.15 1.18 1.17 100%
frb56-25-1.csp 1.20 1.22 1.21 100%
frb56-25-2.csp 0.99 1.03 1.01 100%
frb56-25-3.csp 1.01 1.05 1.02 100%
frb56-25-4.csp 0.98 0.99 0.99 100%
frb56-25-5.csp 1.09 1.14 1.11 100%
frb59-26-1.csp 1.24 1.33 1.30 100%
frb59-26-2.csp 1.22 1.26 1.24 100%
frb59-26-3.csp 1.31 1.34 1.32 100%
frb59-26-4.csp 1.30 1.32 1.31 100%
frb59-26-5.csp 1.23 1.27 1.24 100%