A line of LRT with five (5) stations will be constructed in a city. A forecast passenger demand is given below:   Depart Station Boarding Station 1 2 3 4 5 1 0 1600 10000 2000 250 2 230 0 11000 2071 230 3 60 1400 0 1500 170 4 250 1700 10400 0 250 5 300 1900 12000 2500 0 (a) Compute the number of passengers between each pair of the stations for both directions. (b) In this LRT project, headway must not be less than 120 seconds and must not be greater than 300 seconds. All stations are designed to cater a train of 6 couches. The capacity of each couch is 280 passengers. Based on the computed maximum passengers in (a), compute headway possibilities and corresponding number of couches per train. You may use rail utilisation factor of 0.75 and load factor of 0.9.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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A line of LRT with five (5) stations will be constructed in a city. A forecast passenger demand is given below:

  Depart Station
Boarding Station 1 2 3 4 5
1 0 1600 10000 2000 250
2 230 0 11000 2071 230
3 60 1400 0 1500 170
4 250 1700 10400 0 250
5 300 1900 12000 2500 0

(a) Compute the number of passengers between each pair of the stations for both directions.
(b) In this LRT project, headway must not be less than 120 seconds and must not be greater than 300 seconds. All stations are designed to cater a train of 6 couches. The capacity of each couch is 280 passengers. Based on the computed maximum passengers in (a), compute headway possibilities and corresponding number of couches per train. You may use rail utilisation factor of 0.75 and load factor of 0.9.

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