Question

2. In a 1-hour period, 1100 vehicle-based shopping trips leave a large residential area for two shopping plazas. A joint shopping-trip mode-destination choice logit model is estimated, providing the following coefficients: Variable Auto Coefficient Bus Coefficient Auto Constant 0.25 0.00 Travel Time in Minutes -0.40 -0.50 Commercial Floor Space 0.013 0.013 (in thousands of ft) Initial travel times to shopping centers 1 and 2 are as follows: By Auto Travel Time (in minutes) To shopping plaza 1 To shopping plaza 2 By Bus 18 16 19 If shopping plaza 2 has 325,000 ft2 of commercial floor space and shopping plaza 1 has 275,000 ft2, determine distribution of trips by destination and mode.

Answer 1

Solution : Given that will & Critanni) In al-hour period, 1100 vehicle-based shopping trips leave a large residential area or two shopping plazas. → shopping plaza 2 has 385000 Ft2 or commer- cial Floor space . → Shopping plaza 1 has 2751000 Ft² → The wilty function coefficient represent that as model travel times increases, the like hood as selecting the mode - destination combina- ton declines. In other wards, as, destination's Floor Space increases ithe poonability of selecting that destination will increases, as suggested by the positive coefficient 40.013). this reflects tend to have a greater vabriety of merchandise and hence are more attractive Shopping deste- naliony. → According to problem. this is joint mode destination choice model in which there a 4 mode, i destination combination and a corre. destio- model Scanned with CamScanner

Sponding cetility function given in take ca). (in question) x table (b). Bus Auto Caefficient Variable Co-efficient. voll in oo constant isson 0,25 Travel time in minutes and 10. 4 commercial toor hilll space (in thowsands of th) 0 .5 0.013 0.613. tablecast od do compos t able.ca Initial travel times to Shopping plazas y and > are og follows 9230307 By Aito By bus travel time to shopping plezal 0) in minutes) shis n al Travel time to shopping plaza (2) (in minutes) table (b). d oen! Shopping plaeza 1) commercial floor Space Wood (275 000 Ft) Scanned with CamScanner

Shopping plaza (2) ► commer tal Hour space (32500 OFE2) let vai be the utility of the auto mode to Shopping Centre ! UA2 the utility of the acto mode to shopping centre a Similarly Ubi → utility of bry mode → Shopping Centre i UB 2 elitity or bus mode shopping centre a. VAI - 025 -0.4X15 +0.013 X2 75 = -2.175 - 0 UR = 0.0 -0.5 X 18+0.013 x275- -5.425 - VAR = 0.25 -0.4X16+ 0.013 X 325 = -1.925 → UA2 = 0.6 -0.5*1940 .013 x 325 -5.975 @ wo probability that travelles i will select alter- calculated as native in can be e vim VS Pino anned with CamScanner Pim C

Where. S = Mo Lalion for available alternatione e - Bage or the natural algarithm. → Member of buy trips to shopping plaza 2-. - 5.275 PB2 = -2.175 tebe -5.425 -1.925 -5. 275 tete 50118x 103 0. 269 PB2 = 0.019 multiply this PB> =0.019 by nod] PB2x1600 =0.01981100 No. of buy trips. = 20.94 =al. trips. Note: Hope this was helpbut please do leave a positive ed answer thants and have a of rating you liked answer than good day. Scanned with CamScanner