Link Link Name Label Volume Link cost functions (x represents the link volume on link A)...

 

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Link Link Name Label Volume Link cost functions (xд represents the link volume on link "A") Link Cost (travel time) Function (minutes) Link Travel Time x1 Peralta-J 1 x1 t1 t1 +1 Highway 2 Jeffords Street x2 t₂ t2=(7200) x2 +2 3 Boyle Street X3 t3 t3 = (250) X3 +3 Genevieve X4 4 x4 t4 t4 = +12 Street 5 Jeffords Street X5 ts t5 t₁ = (200) +2 6 Lynn Parade x6 t6 to = (100) X6 +1 X7 7 Linetti Way X7 t7 t₁ = +2 100. 8 Jeffords Street x8 t8 t8 = ( X8 +2 200. 9 Diaz Avenue X9 وt tg = (400) +1 10 Boyle Street x10 t10 t10 = (20) X10 +3 250. Answer the following questions to determine the traffic assignment from North Haverbrook Station and District Ninety-Nine Station. a) How many routes are there to travel from Podolski Station to District Ninety-Nine Station? Identify each route using link labels. (2 marks) b) Consider "free flow" traffic conditions, where link travel times are unaffected by link traffic volume, which route would travellers use and why? Present a calculation to justify your solution. What does this finding indicate about the design of the road network between Podolski Station and District Ninety-Nine Station? (5 marks) c) Assume that during the station closure phase that there is an Origin to Destination demand of 3000 trips for the time period being assessed, and using the principle of "User Equilibrium", determine the equilibrium conditions between Podolski Station and District Ninety-Nine Station. i. Clearly present all demand conservation equations and route travel time equilibrium equations. (5 marks) Solve the system of equations and present link volumes, link travel times and route travel times under equilibrium conditions. If prior to the closure, equilibrium travel time was 20 minutes, how much additional travel time will travellers be faced with because of the closure? What impact will the new traffic assignment forecasts have on the queuing issues described? (8 marks) Link Link Name Label Volume Link cost functions (xд represents the link volume on link "A") Link Cost (travel time) Function (minutes) Link Travel Time x1 Peralta-J 1 x1 t1 t1 +1 Highway 2 Jeffords Street x2 t₂ t2=(7200) x2 +2 3 Boyle Street X3 t3 t3 = (250) X3 +3 Genevieve X4 4 x4 t4 t4 = +12 Street 5 Jeffords Street X5 ts t5 t₁ = (200) +2 6 Lynn Parade x6 t6 to = (100) X6 +1 X7 7 Linetti Way X7 t7 t₁ = +2 100. 8 Jeffords Street x8 t8 t8 = ( X8 +2 200. 9 Diaz Avenue X9 وt tg = (400) +1 10 Boyle Street x10 t10 t10 = (20) X10 +3 250. Answer the following questions to determine the traffic assignment from North Haverbrook Station and District Ninety-Nine Station. a) How many routes are there to travel from Podolski Station to District Ninety-Nine Station? Identify each route using link labels. (2 marks) b) Consider "free flow" traffic conditions, where link travel times are unaffected by link traffic volume, which route would travellers use and why? Present a calculation to justify your solution. What does this finding indicate about the design of the road network between Podolski Station and District Ninety-Nine Station? (5 marks) c) Assume that during the station closure phase that there is an Origin to Destination demand of 3000 trips for the time period being assessed, and using the principle of "User Equilibrium", determine the equilibrium conditions between Podolski Station and District Ninety-Nine Station. i. Clearly present all demand conservation equations and route travel time equilibrium equations. (5 marks) Solve the system of equations and present link volumes, link travel times and route travel times under equilibrium conditions. If prior to the closure, equilibrium travel time was 20 minutes, how much additional travel time will travellers be faced with because of the closure? What impact will the new traffic assignment forecasts have on the queuing issues described? (8 marks)

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