Research Article

Two-Echelon Location-Routing Problem with Time Windows and Transportation Resource Sharing

Table 6

Optimal distribution routes and shared vehicles.

Shared vehiclesOptimal distribution routesTime window

V1DC4 ⟶ C140 ⟶ C102 ⟶ C96 ⟶ C90 ⟶ C135 ⟶ DC4[14.4, 18.4]
DC4 ⟶ C46 ⟶ C34 ⟶ C97 ⟶ C100 ⟶ DC4[7, 11.2]]
DC4 ⟶ C18 ⟶ C12 ⟶ C24 ⟶ C25 ⟶ DC4[4.9, 6.4]
DC4 ⟶ C65 ⟶ C103 ⟶ C77 ⟶ C87 ⟶ DC4[11.4, 13.9]
DC4 ⟶ C15 ⟶ C49 ⟶ C11 ⟶ C40 ⟶ C58 ⟶ DC4[1.7, 3.2]
DC3 ⟶ C45 ⟶ C37 ⟶ C5⟶ C20 ⟶ C3 ⟶ DC3[3.2, 4.7]
DC3 ⟶ C71 ⟶ C148 ⟶ C79 ⟶ C113 ⟶ DC3[10.7, 14.6]
DC3 ⟶ C7 ⟶ C44 ⟶ C23 ⟶ C51 ⟶ DC3[0.9, 4.2]
V2DC4 ⟶ C80 ⟶ C89 ⟶ C105 ⟶ C127 ⟶ DC4[11.7, 13.7]
DC4 ⟶ C8 ⟶ C52 ⟶ C60 ⟶ C2 ⟶ C61 ⟶ DC4[2.6, 5.1]
DC4 ⟶ C119 ⟶ C116 ⟶ C67 ⟶ C125 ⟶ DC4[15.4, 19]
DC3 ⟶ C132 ⟶ C81 ⟶ C101 ⟶ C108 ⟶ C146 ⟶ DC3[13, 17.5]
DC3 ⟶ C4 ⟶ C21 ⟶ C42 ⟶ C29 ⟶ C59 ⟶ DC3[0.7, 5.6]
DC3 ⟶ C9 ⟶ C32 ⟶ C43 ⟶ C73 ⟶ C86 ⟶ DC3[5.8, 12.6]
V3DC4 ⟶ C38 ⟶ C33 ⟶ C14 ⟶ C31 ⟶ DC4[1.2, 3.3]
DC4 ⟶ C53 ⟶ C6 ⟶ C92 ⟶ C114 ⟶ C143 ⟶ C138 ⟶ DC4[4.4, 17.5]
V4DC3 ⟶ C26 ⟶ C16 ⟶ C57 ⟶ C56 ⟶ C50 ⟶ DC3[1.5, 4.2]
DC3 ⟶ C84 ⟶ C78 ⟶ C70 ⟶ C149 ⟶ DC3[11.3, 13]
DC3 ⟶ C88⟶ C150 ⟶ C109 ⟶ C122 ⟶ C82 ⟶ DC3[14.2, 18.2]
DC6 ⟶ C10 ⟶ C13 ⟶ C39 ⟶ C124 ⟶ C147 ⟶ DC6[5.6, 12.4]
DC6 ⟶ C27 ⟶ C1 ⟶ C48 ⟶ C55 ⟶ C62 ⟶ DC6[1.3, 5.1]
DC6 ⟶ C93 ⟶ C72 ⟶ C99 ⟶ C120 ⟶ DC6[15.8, 18.5]
DC5 ⟶ C111 ⟶ C110 ⟶ C117 ⟶ C76 ⟶ C68 ⟶ C134 ⟶ DC5[10.8, 18.6]
DC5 ⟶ C41 ⟶ C28 ⟶ C54 ⟶ C36 ⟶ C19 ⟶ DC51[2.4, 4.5]
DC5 ⟶ C47 ⟶ C8 ⟶ DC5[1.2, 2.1]
V5DC3 ⟶ C129 ⟶ C145 ⟶ C91 ⟶ C69 ⟶ DC3[11.6, 16.1]
DC3 ⟶ C85 ⟶ C112 ⟶ C118 ⟶ C121 ⟶ C123 ⟶ DC3[11.4, 13.3]
DC3 ⟶ C95 ⟶ C128 ⟶ C106 ⟶ C139 ⟶ C104 ⟶ C100 ⟶ DC3[11.7, 15.8]
DC6 ⟶ C17 ⟶ C63 ⟶ C83 ⟶ C107 ⟶ C64 ⟶ DC6[2, 15.8]
DC6 ⟶ C115 ⟶ C142 ⟶ C75 ⟶ C144 ⟶ C130 ⟶ C94 ⟶ DC6[10.9, 13.4]
DC5 ⟶ C30 ⟶ C35 ⟶ C137 ⟶ C131 ⟶ C66 ⟶ DC5[3.8, 15.2]
DC5 ⟶ C98 ⟶ C141 ⟶ C126 ⟶ C136 ⟶ C74 ⟶ DC5[13.2, 14.1]