Research Article

A Matheuristic Approach Combining Local Search and Mathematical Programming

Table 1

Obtained results for instances with 500 customers and 500 to 1000 possible warehouse locations.

(sec) (%)

MIP 97038 2002 0 0.00%
500 × 500 RAND 103546 1101 79 6.71%
MATH 97273 1276 21 0.24%

MIP 116388 2002 0 0.06%
600 × 500 RAND 127667 1182 108 9.75%
MATH 116321 1499 25 0.00%

MIP 138396 2005 0 0.15%
700 × 500 RAND 153628 1505 284 11.17%
MATH 138190 1670 26 0.00%

MIP 158222 2003 0 0.45%
800 × 500 RAND 178445 675 167 13.29%
MATH 157518 1110 19 0.00%

MIP 179087 2003 0 0.48%
900 × 500 RAND 199431 238 34 11.90%
MATH 178230 1008 18 0.00%

MIP 202706 2003 0 0.45%
1000 × 500 RAND 214914 2228 102 6.50%
MATH 201794 976 15 0.00%