The Analysis of Braess’ Paradox and Robustness Based on Dynamic Traffic Assignment Models

Table 1

Important values of links in different ranges.

	I	II	III	IV
𝑜𝑝	40−31𝑡64𝑡+10	40−31𝑡64𝑡+10	1031𝑡−1160190𝑡+3010	33𝑡33𝑡+100
𝑜𝑞	0	0	35937𝑡−435606650𝑡+105350	1147𝑡−1601155𝑡+3500
𝑝𝑟	0	0	35937𝑡−435606650𝑡+105350	1147𝑡−1601155𝑡+3500
𝑞𝑟	40−31𝑡64𝑡+10	40−31𝑡64𝑡+10	1031𝑡−1160190𝑡+3010	33𝑡33𝑡+100
𝑝𝑞	5(18−19𝑡)4(32𝑡+5)	5(18−19𝑡)4(32𝑡+5)	841𝑡−2320380𝑡+6020	0