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Table 2 Time and costs on travel arcs of the multi-modal network

From: A bi-objective model for uncertain multi-modal shortest path problems

Arcs

Arc time ( ξ ijk )

Arc costs ( c ijk )

Arcs

Arc time ( ξ ijk )

Arc costs ( c ijk )

(0,33,1)

Z(4, 5, 8)

Z(8, 9,12)

(42,44,2)

Z(1,2,5)

Z(1,2,4)

(33,34,1)

Z(3, 4, 9)

Z(7, 9,14)

(43,44,2)

Z(2,5,6)

Z(2,4,5)

(34,35,1)

Z(15,17,20)

Z(10,12,13)

(44,45,2)

Z(3,5,8)

Z(2,3,5)

(35,36,1)

Z(12,14,18)

Z(9,10,13)

(45,46,2)

Z(2,3,5)

Z(2,3,6)

(36,37,1)

Z(14,17,18)

Z(12,14,17)

(27,14,3)

Z(1,3,4)

Z(1,2,4)

(37,38,1)

Z(9,12,14)

Z(11,14,16)

(27,28,3)

Z(1,2,4)

Z(1,2,4)

(38,39,1)

Z(22,25,27)

Z(18,24,26)

(14,15,3)

Z(1,2,4)

Z(1,3,4)

(39,46,1)

Z(11,15,17)

Z(11,14,16)

(15,16,3)

Z(2,3,5)

Z(1,3,4)

(0, 1,2)

Z(4, 7, 9)

Z(1, 3, 4)

(16,17,3)

Z(1,2,4)

Z(1,2,5)

(1, 2,2)

Z(3, 7, 8)

Z(2, 3, 6)

(17,18,3)

Z(2,3,5)

Z(1,2,4)

(1, 3,2)

Z(4, 5, 7)

Z(2, 5, 6)

(28,22,3)

Z(3,4,6)

Z(3,4,7)

(2, 4,2)

Z(5, 7, 8)

Z(2, 4, 5)

(22,32,3)

Z(4,5,7)

Z(2,3,6)

(3, 5,2)

Z(4, 7, 8)

Z(3, 6, 7)

(32,19,3)

Z(5,7,8)

Z(4,6,7)

(4, 6,2)

Z(2, 5, 7)

Z(1, 3, 4)

(28,29,3)

Z(1,2,4)

Z(2,4,7)

(5, 6,2)

Z(6, 9,10)

Z(2, 5, 6)

(29,23,3)

Z(1,3,4)

Z(2,4,7)

(5,13,2)

Z(3, 5, 6)

Z(2, 3, 5)

(23,30,3)

Z(1,2,4)

Z(2,5,7)

(3,12,2)

Z(1, 3, 4)

Z(1, 3, 4)

(30,31,3)

Z(2,3,5)

Z(2,4,5)

(12,13,2)

Z(3, 5, 6)

Z(1, 3, 4)

(31,20,3)

Z(2,3,5)

Z(1,2,4)

(13, 8,2)

Z(2, 5, 6)

Z(1, 4, 5)

(18,19,3)

Z(2,4,5)

Z(1,2,4)

(6, 7,2)

Z(2, 3, 5)

Z(1, 2, 4)

(19,20,3)

Z(2,3,5)

Z(2,4,5)

(8, 9,2)

Z(3, 5, 6)

Z(2, 4, 5)

(20,21,3)

Z(3,4,6)

Z(2,3,5)

(7, 9,2)

Z(2, 3, 6)

Z(1, 3, 4)

(15,22,3)

Z(2,3,5)

Z(1,2,4)

(8,10,2)

Z(1, 2, 4)

Z(1, 2, 5)

(22,23,3)

Z(1,2,5)

Z(2,3,5)

(9,11,2)

Z(2, 3, 5)

Z(1, 2, 4)

(23,24,3)

Z(1,2,4)

Z(2,5,6)

(10,11,2)

Z(1, 2, 4)

Z(1, 2, 4)

(24,25,3)

Z(3,4,6)

Z(2,5,7)

(11,40,2)

Z(4, 7, 9)

Z(1, 3, 4)

(25,26,3)

Z(1,2,4)

Z(2,3,5)

(40,41,2)

Z(1, 3, 5)

Z(1, 2, 4)

(26,21,3)

Z(1,2,5)

Z(1,2,4)

(41,42,2)

Z(1, 2, 4)

Z(1, 2, 4)

(21,46,3)

Z(1,2,4)

Z(1,2,5)

(41,43,2)

Z(2, 4, 5)

Z(1, 3, 4)

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