Research Article

A GRASP-Tabu Heuristic Approach to Territory Design for Pickup and Delivery Operations for Large-Scale Instances

Table 4

Asymmetric, semisymmetric, and urban results by capacity level.

SIZE50_5200_10
CapacityLess restrictedTightLess restrictedTight
GapMaxAvgMinMaxAvgMinMaxAvgMinMaxAvgMin

Urban
 K-S/P2.88%0.78%0.00%12.91%2.49%0.00%−24.70%−45.66%−65.55%−24.10%−44.42%−65.10%
 1-S0.02%0.00%0.00%0.00%0.00%0.00%−30.75%−50.24%−68.16%−23.14%−48.42%−67.78%
 HypLS1.17%0.27%0.00%4.56%0.87%0.00%−30.61%−50.37%−69.70%−28.32%−50.53%−69.89%
 2-IterLS0.00%0.00%0.00%0.00%0.00%0.00%−31.56%−51.34%−70.57%−28.79%−52.01%−72.16%

Semisymmetric
 K-S/P0.00%0.00%0.00%0.00%0.00%0.00%5.70%−40.64%−55.67%−28.31%−44.36%−56.35%
 1-S0.00%0.00%0.00%0.00%0.00%0.00%0.00%−44.07%−59.87%−30.76%−47.01%−59.48%
 HypLS0.00%0.00%0.00%0.00%0.00%0.00%0.00%−44.37%−59.87%−30.76%−47.73%−59.67%
 2-IterLS0.00%0.00%0.00%0.00%0.00%0.00%0.00%−44.50%−59.87%−30.76%−47.73%−59.67%

Symmetric
 K-S/P8.26%3.11%3.11%13.27%4.90%4.90%−19.28%−37.45%−53.63%−21.66%−36.98%−50.01%
 1-S3.06%0.92%0.92%8.73%2.25%2.25%−19.79%−39.35%−54.47%−25.30%−41.06%−55.54%
 HypLS4.56%0.90%0.90%13.93%3.28%3.28%−20.08%−39.93%−54.45%−23.63%−40.75%−55.23%
 2-IterLS1.40%0.32%0.32%12.69%2.09%2.09%−20.06%−40.26%−54.54%−24.44%−41.29%−53.78%