Doubly Constrained Growth Factor Model Calculator

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Design of Transition Curves and Setback Distances

✖Previous Total Number of Trips is the total number of trips that occurred in a specific zone during a previous period of time.ⓘ Previous Total Number of Trips [t_ij]			+10% -10%
✖Growth Factor A is a factor that influences the value of total number of trips.ⓘ Growth Factor A [a_i]			+10% -10%
✖Growth Factor B is a factor that influences the value of total number of trips.ⓘ Growth Factor B [b_j]			+10% -10%

✖Total Number of Trips refers to the complete count or sum of trips made within a particular context, such as a geographical area, a transportation system, or a specific time period.ⓘ Doubly Constrained Growth Factor Model [T_trips]

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Formula

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Doubly Constrained Growth Factor Model

Formula

`"T"_{"trips"} = "t"_{"ij"}*"a"_{"i"}*"b"_{"j"}`

Example

`"40.4712"="22"*"1.26"*"1.46"`

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Doubly Constrained Growth Factor Model Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Number of Trips = Previous Total Number of Trips*Growth Factor A*Growth Factor B
T_trips = t_ij*a_i*b_j
This formula uses 4 Variables

Variables Used

Total Number of Trips - Total Number of Trips refers to the complete count or sum of trips made within a particular context, such as a geographical area, a transportation system, or a specific time period.
Previous Total Number of Trips - Previous Total Number of Trips is the total number of trips that occurred in a specific zone during a previous period of time.
Growth Factor A - Growth Factor A is a factor that influences the value of total number of trips.
Growth Factor B - Growth Factor B is a factor that influences the value of total number of trips.

STEP 1: Convert Input(s) to Base Unit

Previous Total Number of Trips: 22 --> No Conversion Required
Growth Factor A: 1.26 --> No Conversion Required
Growth Factor B: 1.46 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_trips = t_ij*a_i*b_j --> 22*1.26*1.46

Evaluating ... ...

T_trips = 40.4712

STEP 3: Convert Result to Output's Unit

40.4712 --> No Conversion Required

FINAL ANSWER

40.4712 <-- Total Number of Trips

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Doubly Constrained Growth Factor Model

Credits

Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 15 Transportation System Calculators

Average Vehicle Ownership for Current Year

Go Average Vehicle Ownership for Current Year = (Population of Zone for Design Year*Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)/(Growth Factor*Average House-Hold Income for Current Year*Population of Zone for Current Year)

Average House Hold Income for Current Year

Go Average House-Hold Income for Current Year = (Population of Zone for Design Year*Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)/(Growth Factor*Population of Zone for Current Year*Average Vehicle Ownership for Current Year)

Average House Hold Income for Design Year

Go Average House-Hold Income for Design Year = (Growth Factor*Population of Zone for Current Year*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)/(Population of Zone for Design Year*Average Vehicle Ownership for Design Year)

Average Vehicle Ownership for Design Year

Go Average Vehicle Ownership for Design Year = (Growth Factor*Population of Zone for Current Year*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)/(Population of Zone for Design Year*Average House-Hold Income for Design Year)

Population of Zone for Current Year

Go Population of Zone for Current Year = (Population of Zone for Design Year*Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)/(Growth Factor*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)

Population of Zone for Design Year

Go Population of Zone for Design Year = (Growth Factor*Population of Zone for Current Year*Average House-Hold Income for Current Year*Average Vehicle Ownership for Current Year)/(Average House-Hold Income for Design Year*Average Vehicle Ownership for Design Year)

Simple Expansion Factor

Go Simple Expansion Factor = Total Number of Household/(Total Number of Addresses-Number of Samples)

Previous Total Number of Trips using Doubly Constrained growth Factor Model

Go Previous Total Number of Trips = Total Number of Trips/(Growth Factor A*Growth Factor B)

Doubly Constrained Growth Factor Model

Go Total Number of Trips = Previous Total Number of Trips*Growth Factor A*Growth Factor B

Number of Future Trips in Zone

Go Number of Future Trips in the Zone = Number of Current Trips in that Zone*Growth Factor

Number of Current Trips

Go Number of Current Trips in that Zone = Number of Future Trips in the Zone/Growth Factor

Growth Factor

Go Growth Factor = Number of Future Trips in the Zone/Number of Current Trips in that Zone

Uniform Growth Factor

Go Uniform Growth Factor = Expanded Total Number of Trips/Previous Total Number of Trips

Previous Total Number of Trips

Go Previous Total Number of Trips = Total Number of Trips/Uniform Growth Factor

Expanded Total Number of Trip

Go Total Number of Trips = Previous Total Number of Trips*Uniform Growth Factor

Doubly Constrained Growth Factor Model Formula

Total Number of Trips = Previous Total Number of Trips*Growth Factor A*Growth Factor B
T_trips = t_ij*a_i*b_j

Expanded Total Number of Trips

As we analyze the increase in the number of trips starting and ending in each zone, it becomes evident that the growth rates for inbound and outbound trips will differ. Therefore, we require two distinct sets of growth factors for each zone.

How to Calculate Doubly Constrained Growth Factor Model?

Doubly Constrained Growth Factor Model calculator uses Total Number of Trips = Previous Total Number of Trips*Growth Factor A*Growth Factor B to calculate the Total Number of Trips, Doubly constrained growth factor model formula is defined as the product of previous total number of trips and growth factors. Total Number of Trips is denoted by T_trips symbol.

How to calculate Doubly Constrained Growth Factor Model using this online calculator? To use this online calculator for Doubly Constrained Growth Factor Model, enter Previous Total Number of Trips (t_ij), Growth Factor A (a_i) & Growth Factor B (b_j) and hit the calculate button. Here is how the Doubly Constrained Growth Factor Model calculation can be explained with given input values -> 36.792 = 22*1.26*1.46.

FAQ

What is Doubly Constrained Growth Factor Model?

Doubly constrained growth factor model formula is defined as the product of previous total number of trips and growth factors and is represented as T_trips = t_ij*a_i*b_j or Total Number of Trips = Previous Total Number of Trips*Growth Factor A*Growth Factor B. Previous Total Number of Trips is the total number of trips that occurred in a specific zone during a previous period of time, Growth Factor A is a factor that influences the value of total number of trips & Growth Factor B is a factor that influences the value of total number of trips.

How to calculate Doubly Constrained Growth Factor Model?

Doubly constrained growth factor model formula is defined as the product of previous total number of trips and growth factors is calculated using Total Number of Trips = Previous Total Number of Trips*Growth Factor A*Growth Factor B. To calculate Doubly Constrained Growth Factor Model, you need Previous Total Number of Trips (t_ij), Growth Factor A (a_i) & Growth Factor B (b_j). With our tool, you need to enter the respective value for Previous Total Number of Trips, Growth Factor A & Growth Factor B and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Number of Trips?

In this formula, Total Number of Trips uses Previous Total Number of Trips, Growth Factor A & Growth Factor B. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Number of Trips = Previous Total Number of Trips*Uniform Growth Factor

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