Research Article

Truck and Unmanned Vehicle Routing Problem with Time Windows: A Satellite Synchronization Perspective

Table 3

Exact solutions for small-scale instances.

InstanceTUVRP-TW formulationTUVRP-TW-B formulation
ObjEm/s/UTime (s)Objm/s/UTime (s)

C1-6-2546.20/0/13546.20/0/14
C1-6-5046.20/0/1546.20/0/1<1
C1-6-7546.20/0/1246.20/0/1<1
C1-7-2570.61/1/067382.20/0/2214
C1-7-5072.71/1/03582.20/0/28
C1-7-7572.71/1/01182.20/0/23
C1-8-2567.21/1/027681.51/0/160
C1-8-5067.21/1/03381.50/0/25
C1-8-7581.50/0/2481.50/0/2<1
C1-9-25115.91/1/0867126.20/0/2143
C1-9-50126.20/0/2138126.20/0/27
C1-9-75126.20/0/211126.20/0/23
C1-10-25106.41/1/014400121.91/0/13967
C1-10-50121.90/0/214400121.90/0/2654
C1-10-75121.90/0/2195121.90/0/239
C1-11-25207.30/0/314400207.30/0/32234
C1-11-50207.30/0/310413207.30/0/3304
C1-11-75207.30/0/3670207.30/0/357
C1-12-25208.91/0/214400208.91/0/21656
C1-12-50221.80/0/41036221.80/0/493
C1-12-75221.80/0/437221.80/0/410

Note. ∗ denotes that the computation time is exhausted.