Question

4.35. Trip Assignment with a BPR Function. Saturday midday traffic flow is 5850 vph from Mythaca to Econoly. There are two "reasonable" routes from Mythaca to Econoly. The route using the limited access highway A has a free-flow travel time of 47 minutes, capacity C(A) - 3260 vph, a = 0.15. and b = 4.7. The standard highway route B has a free-flow travel time of 21 minutes. C(B) = 1440 vph. a -0.40, and, b = 5.5. The capacity values are at LOS "C" A. Equilibrium condition. Using Equation 4.13. determine the flows V(A) and V(B) -- to the nearest 5 vph -- that occur when the 5850 vph are assigned to routes A and B so that user equilibrium occurs. B. Equilibrium travel time. Show that the travel times on the two routes are equal. (10 points) 1-10[1-a (Vc] (4.13)

Answer 1

3 Mythaca Econoty t- tofu+ aly? ] ta =-45[14875( way you) +b = 21 (1+0-40 ( . 15:5) C10 \440 -liin). VatVb = 5850 rph Travel timesta) Travel time t poo 901 Cunen ongin at 094b = --- -- 1000 2000 3000 como Sood (Flow) Sowing graphically with hit & trial method AVEA = 3935 uph & VB 1915 vph By travel time ta=to=61 en 2016

va=&1573 V 24277 FEBRUARY 60 = us (it ist 045* fra 74:7 Vaz 4277 669 Vb 2 15731 ts34 to 1 zou ( 16 ) 5.5 luyo Va = 3500, 54.27 122350 144039 va = 3950, 61 VG = 1900, 59.5 a Va = 3925 60.9 - 152 1925; 62:3. MAY va = 8 4000 n 1762 V6 = 1850 JUNE va = 3940, 61.4 Va=3850 59. vba row, H 121910 i 60-65 Vas 3938, 61-34 % 2 1912 , 60 9 2016 & 2 Va23935, +261 34 vh=1915 ;t=61114