CHAPTER 2 LITERATURE REVIEW
2.2 Alternative theory of transportation and residential choice
(Hsu & Guo, 2006) The analysis commutersβ mode and route choices were named the hypothesis about 2 types of mode and route choice that meant to drive a car along the main road for ending in the central business district(CBD) and traveling by BTS to the central business district. The transportation in two types were defined to compare between expense for traveling and duration(time) for traveling. The analysis was categorized each parallel to compare in expenses and times for traveling from the residence to the central business district. under the hypothesis choice that passengers have got the most value in benefits according to calculation from the lower traveling cost. To specific for π΅β² replace to the two-dimensional study area, and to specific π and π replace to the coordinate by taking π₯1, π₯2 were the residential locations and
π1, π2were the CBD locations which the distance for traveling on the road was π·(π, π) from the location π in residence to (CBD) for kication π that it could be in the equation as
π·(π, π) = |π₯1 β π1| + |π₯2 β π2| (π₯1, π₯2) β π΅β² 2.13 Moreover, to take π£πΏ replace to the averaged speed of the traveling and ππΏ replace to the patrol expense for land traveling per a kilometer. π0 replace to car parking fee in CBD center for each time.
For the parametric value of π π was more stable than π΅β² which defining to
ππΏ(π) replace to the duration for traveling in round trip, and πΆπΏ(π) replace to expense
for traveling as round trip from the residential location π to CBD location π . it could be in the equation as
ππΏ(π) = 2π·(π, π)π π /π£πΏ β(π₯1, π₯2) β π΅β² 2.14
πΆπΏ(π) = 2π·(π, π)π π ππΏ + π0 β(π₯1, π₯2) β π΅β² 2.15 To specific
Equation 2.14 was the equation that showed to time for traveling of all.
Equation 2.15 was the equation that showed to expense for traveling
For traveling by the rail transit(BTS and MRT), there were specified π replace to the number of rail transit lines where ππ replace to the number of rail transit stations, when π = 1, . . , π and take π¦1,π¦2 were the location of rail transit stations replace to πππ then π = 1, . . , π was the distance for land traveling from the residence π to rail transit stations πππ It could be in the equation as
π·(π, πππ) = |π₯1 β π¦1| + |π₯2 β π¦2| 2.16
πππ π = 1,2, β¦ , π ; π = 1,2, . . , π ; (π₯1, π₯2) β π΅β²
Then. To specific πΏ(πππ,π) relace to the distance for traveling from rail transit stations to CBD by taking π£ππ replace to the average speed of the rail transit.
The π€πππ replace to rail temporarily parking time in every station from πππ to CBD center, The βπ replace to the average headway of rail transit, and ππ
ππ replace to expense for traveling from rail transit station to CBD center. The ππππ replace to the average of car parking fee.
From the previous data, there were about duration(time) for traveling and expense for traveling in round trip from the residential location X to the CBD center π which starting to travel from the residence to the rail transit station and then, traveling by rail transit to CBD center. It could be in the equation as
ππ(π, πππ) = 2π·(π, πππ)π π /π£πΏ + 2π€πππ + βπ +
2πΏ(πππ, π)/π£ππ 2.17 πππ π = 1, . . , π πππ π = 1, . . , π ; β(π₯1, π₯2) β π΅β²
πΆπ(π, πππ) = 2π·(π, πππ)π π ππΏ + ππ ππ + 2ππ ππ
2.18
πππ π = 1, . . , π πππ π = 1, . . , π ; β(π₯1, π₯2) β π΅β²
To specific π replace to time value, and ππ replace to the average expense for traveling from the rail transit station at CBD center to the work office which it revealed to expense for traveling from the residential location π to CBD center. It could be in the equation as
ππΏ(π) = π β ππΏ(π) + πΆπΏ(π₯)β(π₯1, π₯2) β π΅β² 2.19 The expense for traveling from the residential location X to CBD by land traveling from the residence to rail transit stations and then, transit to the rail for continue to CBD center. It could be in the equation as
ππ(π, πππ) = π β ππ(π, πππ) + πΆπ(π, πππ) + ππ 2.20
πππ π = 1, . . , π ; π = 1, . . , π ; (π₯1, π₯2)ππ΅β²
To take πΊβ = min{ππΏ, ππ} was the expense for traveling at least by specified
πβ was the duration(time) for traveling at least and πΆβ was the expense for traveling at least. The best route choice could be follow the equation 2.19 and 2.20.
2.2.2 Residential Location Choice Model
(Hsu & Guo, 2006)The analysis residential location choice of the household was created to consider in the maximize the householdβs residential utility which the factor was influent to choose the residential location choice (π). it contained with duration(time) for working(all member of the household) (π‘π€π) , duration for free time of all household member(available) (π‘πΏπ) , Expense for traveling in round trip (πΆβ(π₯) and Duration(time) for traveling in round trip (πβ(π)). The location was from the residence (π) to (CBD) center, Income balance from rented fee and expense for traveling (πΌπ)
The number of household in residential location (π) was studied in observation about income recently before the present tough. To specific the area of household study (π»π»πβ1(π₯)) with the condition πΜ refer to all time for each person which it was defined 1 month had got for 720 hrs. The π€π was the average income from only working per an hour. The π π»(π) was rents fee per a sq,m. in the residential location (π).. The πΌπ»π
was size of household area. The π‘Μ was the frequency for traveling in average per a month, and πΜ was the average number of passengers in the household, then it could be in the equation as
πππ₯ππ = π(π‘πΏπ, πΆβ, πβ, πΌπ, π»π»πβ1π) 2.21
Limitations to(Subject to)
πΜ β πΜ β π‘πΏπ β πΜ β πβ(π) β π‘Μ = 0 2.22 π€π β π‘π€π β πΌπ β π π»(π) β πΌπ»π β πΆβ(π) β π‘Μ β πΜ = 0 2.23 (π₯1, π₯2) π π΅β²
The equation 2.21 was householdβs residential utility function.
The equation 2 .2 2 was limited equation for the total time constraint of the household
The equation 2 . 2 3 was limited equation for the budget constraint of the household.
According to alternative theory of transportation and residential choice, the researcher took this theory to apply in this research which it was applied in the residential choice of research samples. The convenience for traveling was influent to the residential choice, so alternative theory of transportation and residential choice was suitable to adapt and apply in the research study.
In conclusion, the researcher could take the theory of Preferences and Selection Probabilities to be the theoretical research and the alternative theory of transportation and residential choice was applied in the residential choice model which studied to research samples. Then, the theory was developed to create the suitable model for the study.