Table 1: Basic characteristics of the 40 test problems.

Problem Region
( )
Freight flow demand
(loaded-semitrailer)
Distance between central
depot and satellite facility
Distance between
any two terminals
TotalAverageVarianceMin.Max.AverageVariance

RAND5-1 492.51.050200126.72712.6
RAND5-2 512.61.050200133.32298.9
RAND5-3 602.41.150200163.34988.5
RAND5-4 582.90.850200133.32298.9
RAND5-5 462.31.150250176.77195.4
RAND5-6 662.60.950150143.33057.5
RAND5-7 572.31.050300186.77402.3
RAND5-8 742.51.050300173.36160.9
RAND5-9 702.31.0200350183.36781.6
RAND5-10 812.31.250200123.83809.5
RAND6-1 742.51.050300173.36160.9
RAND6-2 992.81.350250147.64994.2
RAND6-3 912.51.250200161.95342.6
RAND6-4 722.40.950200138.14854.8
RAND6-5 732.40.950250142.94947.7
RAND6-6 972.70.9100200185.76132.4
RAND6-7 992.81.350250147.64994.2
RAND6-8 802.71.050250161.96806.0
RAND6-9 982.71.150300142.94703.8
RAND6-10 1062.90.750250138.14854.8
RAND7-1 1022.41.150200132.13675.3
RAND7-2 742.10.8100250176.86633.1
RAND7-3 1092.60.9100300162.55022.7
RAND7-4 882.51.3100200155.45152.6
RAND7-5 742.10.8100300176.86633.1
RAND7-6 742.10.8100300176.86633.1
RAND7-7 742.10.8100200176.86633.1
RAND7-8 742.10.8100300176.86633.1
RAND7-9 742.10.8150250176.86633.1
RAND7-10 742.10.8100400176.86633.1
RAND8-1 1262.61.250300141.74436.6
RAND8-2 1262.61.250250141.74436.6
RAND8-3 1262.61.250150141.74436.6
RAND8-4 1262.61.250150141.74436.6
RAND8-5 1262.61.250200141.74436.6
RAND8-6 1262.61.2150300141.74436.6
RAND8-7 1262.61.250200141.74436.6
RAND8-8 1262.61.250250141.74436.6
RAND8-9 1503.10.8100350163.95438.2
RAND8-10 1503.10.8100350163.95438.2

Note: the problem is denoted by RAND (number 1)-(number 2) where number 1 is the number of satellite facilities and ranges from 5 to 8, and number 2 is the instance sequence in a same set.