Research Article

A Nonlinear Multiobjective Bilevel Model for Minimum Cost Network Flow Problem in a Large-Scale Construction Project

Table 3

Birandom free flow travel time and birandom transportation cost .

Arc Corresponding nodesArc capacity ( )Transportation cost (CNY/unit)Free transportation time (h)
Carrier 1Carrier 2Carrier 3Carrier 1Carrier 2Carrier 3

1#1, #3105 ( , 0.64), with
(5.2, 0.10)
( , 1.00), with
(6.0, 0.09)
( , 0.01), with
(6.8, 1.00)
( , 0.25), with
(0.2, 0.01)
( , 0.81),with
(0.24, 0.09)
( , 0.16), with
(0.28, 0.04)
2#1, #5110 ( , 1.00), with
(3.2, 0.64)
( , 0.49), with
(3.5, 0.16)
( , 0.81), with
(3.8, 0.25)
( , 0.36), with
(0.15, 0.04)
( , 0.25), with
(0.16, 0.04)
( , 0.09), with
(0.18, 0.01)
3#1, #6135 ( , 4.00), with
(7.2, 1.00)
( , 0.81), with
(7.5, 0.64)
( , 0.64), with
(7.8, 0.49)
( , 0.25), with
(0.30, 0.16)
( , 0.36), with
(0.35, 0.09)
( , 0.16), with
(0.38, 0.01)
4#2, #4115 ( , 1.00), with
(3.7, 0.49)
( , 4.00), with
(4.0, 0.81)
( , 0.01), with
(4.3, 0.01)
( , 0.81), with
(0.14, 0.16)
( , 0.36), with
(0.18, 0.09)
( , 0.64), with
(0.19, 0.01)
5#3, #5108 ( , 0.36), with
(2.2, 0.01)
( , 0.81), with
(2.4, 0.09)
( , 0.64), with
(2.6, 0.16)
( , 0.01), with
(0.14, 0.01)
( , 0.25), with
(0.18, 0.01)
( , 0.09), with
(0.22, 0.01)
6#4, #6112 ( , 0.81), with
(3.2, 0.16)
( , 1.00), with
(4.0, 0.09)
( , 0.49), with
(4.8, 0.09)
( , 0.64), with
(0.12, 0.16)
( , 0.09), with
(0.15, 0.01)
( , 0.25), with
(0.18, 0.01)
7#5, #7180 ( , 1.00), with
(5.0, 0.01)
( , 0.64), with
(5.2, 0.25)
( , 0.36), with
(5.4, 0.16)
( , 0.01), with
(0.25, 0.01)
( , 0.04), with
(0.28, 0.01)
( , 0.01), with
(0.32, 0.01)
8#6, #7145 ( , 0.49), with
(4.5, 0.01)
( , 0.36), with
(4.2, 0.16)
( , 0.49), with
(3.4, 0.16)
( , 0.09), with
(0.16, 0.01)
( , 0.04), with
(0.19, 0.01)
( , 0.09), with
(0.23, 0.01)
9#6, #8160 ( , 0.16), with
(3.6, 0.25)
( , 0.81), with
(4.0, 1.00)
( , 1.00), with
(4.4, 0.09)
, 0.04), with
(0.13, 0.01)
( , 0.01), with
(0.15, 0.04)
( , 0.09), with
(0.17, 0.01)
10#7, #8165 ( , 1.00), with
(4.0, 0.81)
( , 1.00), with
(4.4, 0.49)
( , 0.64), with
(4.8, 0.25)
( , 0.01), with
(0.16, 0.01)
( , 0.04), with
(0.19, 0.01)
( , 0.09), with
(0.23, 0.04)
11#7, #9100 ( , 4.00), with
(7.2, 0.09)
( , 0.16), with
(7.6, 0.81)
( , 0.25), with
(8.0, 0.16)
( , 0.01), with
(0.36, 0.01)
( , 0.04), with
(0.39,
, 0.09), with
(0.42, 0.01)
12#7, #15130 ( , 0.81), with
(8.0, 0.81)
( , 0.64), with
(8.5, 0.50)
( , 1.00), with
(8.7, 0.01)
( , 0.01), with
(0.33, 0.01)
( , 0.01), with
(0.36, 0.01)
( , 0.01), with
(0.38, 0.01)
13#10, #11225 ( , 4.00), with
(5.0, 0.81)
( , 0.64), with
(6.0, 0.16)
( , 0.25), with
(6.5, 0.09)
( , 0.01), with
(0.30, 0.01)
( , 0.01), with
(0.34, 0.01)
( , 0.01), with
(0.36, 0.01)
14#10, #13155 ( , 0.81), with
(5.5, 0.36)
( , 1.00), with
(5.6, 0.49)
( , 0.04), with
(5.8, 0.16)
( , 0.01), with
(0.22, 0.09)
( , 0.04), with
(0.26, 0.16)
( , 0.04), with
(0.30, 0.09)
15#10, #14150 ( , 0.64), with
(4.5, 0.49)
( , 1.00), with
(4.6, 0.25)
( , 0.09), with
(4.8, 0.09)
( , 0.04), with
(0.22, 0.01)
( , 0.01), with
(0.25, 0.04)
( , 0.01), with
(0.27, 0.01)
16#11, #13170 ( , 0.64), with
(3.6, 0.16)
( , 0.09), with
(4.0, 0.01)
( , 0.16), with
(4.4, 0.25)
( , 0.04), with
(0.16, 0.01)
( , 0.09), with
(0.18, 0.04)
( , 0.01), with
(0.20, 0.01)
17#12, #13125 ( , 0.25), with
(4.2, 0.16)
( , 0.49), with
(4.3, 0.09)
( , 1.00), with
(4.4, 0.16)
( , 0.01), with
(0.22, 0.01)
( , 0.04), with
(0.24, 0.09)
( , 0.09), with
(0.26, 0.01)
18#13, #16145 ( , 1.00), with
(4.5, 0.16)
( , 0.04), with
(4.7, 0.81)
( , 0.49), with
(4.9, 1.00)
( , 0.01), with
(0.21, 0.64)
( , 1.00), with
(0.23, 0.01)
( , 0.09), with
(0.25, 0.16)
19#14, #15140 ( , 0.25), with
(5.6, 0.49)
( , 0.09), with
(6.0, 0.01)
( , 0.04), with
(6.5, 0.04)
( , 0.01), with
(0.30, 0.01)
( , 0.16), with
(0.33, 0.01)
( , 0.09), with
(0.35, 0.04)
20#14, #16135 ( , 0.36), with
(4.6, 0.25)
( , 0.04), with
(4.8, 0.16)
( , 0.04), with
(5.0, 0.01)
( , 0.09), with
(0.18, 0.04)
( , 0.16), with
(0.22, 0.09)
, 0.25), with
(0.25, 0.49)
21#15, #16140 ( , 1.00), with
(5.8, 0.09)
( , 1.00), with
(6.2, 0.16)
( , 0.81), with
(6.5, 0.04)
( , 0.01), with
(0.30, 0.09)
( , 0.16), with
(0.32, 0.25)
( , 0.04), with
(0.35, 0.01)