Research Article

Column Generation for a Multitrip Vehicle Routing Problem with Time Windows, Driver Work Hours, and Heterogeneous Fleet

Table 1

Results obtained for R1 instances with the first 50 customers.

InstanceCustomer qty.Route qty.Heuristic costHeuristic time (s)Lower boundLower bound time (s)Heuristic error (%)Iterations

R101501967.497235955.53121.23745
R102501805.559323770.94344.29747
R103501657.448375642.114202.33284
R104501606.484436599.376341.17263
R105501742.452283722.44542.69586
R106501679.535357665.543112.05977
R107501604.177394598.596170.92463
R108501594.898440586.373581.43369
R109501624.043342623.27450.12365
R110501612.588401599.062122.20881
R111501606.677402601.543130.84656
R112501604.155453588.483222.59463
675.459370662.774171.82767

R101502978.249437955.53112.32246
R102502796.028549770.47963.21085
R103502656.540610642.114422.19789
R104502607.629683599.2141971.38571
R105502753.951507721.84834.25889
R106502677.576598663.198202.122103
R107502604.177644598.596460.92498
R108502596.087647584.6342551.92189
R109502627.399582623.27480.65782
R110502612.588652599.062232.20891
R111502608.576658600.540291.32096
R112502599.212710588.442461.79766
676.501606662.244562.02784

R101503962.944549955.53110.77041
R102503803.934679770.47954.16149
R103503656.540761642.114602.19792
R104503608.651844599.2143141.55091
R105503742.080646721.84842.72693
R106503669.851750663.198250.993100
R107503604.177811598.596530.92467
R108503598.581796584.6344322.33094
R109503625.534733623.274100.36150
R110503613.450816599.062332.34589
R111503606.677823600.540421.01292
R112503601.904893588.442752.23767
674.527758662.244881.80177