Research Article

Simultaneous Pickup and Delivery Traveling Salesman Problem considering the Express Lockers Using Attention Route Planning Network

Table 3

Numerical results for small, medium, and large size instances.

SmallMediumLarge
TimeLost saleBack orderTimeLost saleBack orderTimeLost saleBack order

1839786.761267.04114.000.001654265.364594.355376.000.004966772.648880.2931981.00762273.01
2512958.761548.32281.000.002032655.124918.849306.000.004591076.899265.2627875.0074873.33
3824524.751247.12197.000.001819557.326034.299053.000.005076658.407923.6025092.0052660.04
4883975.201484.12224.000.001841460.664586.724683.000.003283198.348236.0326268.000.00
5402729.282477.32239.000.002034023.224609.357202.000.003656831.369569.6427269.000.00
665456.47992.6613.000.001569743.833277.75704.000.00962931.128385.1211233.000.00
7142611.211064.8299.000.001844410.223528.504379.000.001738881.696860.912690.000.00
8868373.531194.56335.000.001376037.665733.027730.000.001229802.056472.981944.000.00
9525973.921243.12252.000.001378022.453536.284261.0084795.823378352.885568.9312696.0077982.19
10198619.131328.1767.000.00655985.263002.28643.000.002295674.028173.3110112.009149.93
Ave526500.901384.72182.100.001620616.114382.145333.708479.583118017.947933.611771697694
Ave time of each step0.001332 s0.001259 s0.001381 s
Improvements of time (%)−5.439.66