Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

points ] Transit service is to be provided along a circular bus route of length D = 2 0 k m that visits n =

points] Transit service is to be provided along a circular bus route of length
D=20km that visits n=24 stops. Buses travel at a cruising speed vmax=20kmhr and
experience a fixed loss and dwell time of ts=1min at each stop (for all activities, including
passenger boarding and alighting, door opening and closing, etc.). Demand is steady with
the same rate (q=0.25paxhr) between every origin-destination pair. The transit agency's
operating contract stipulates that the agency must serve this route with an average service
time across all passengers equal to T=0.80hrs. This time is the sum of the average waiting
time at an origin and the average riding time.
(a) Write an expression for the cycle time for a bus to complete service on the loop in terms
of the variables provided if there is not terminal time.
(b) How many buses (at a minimum) does the agency need to run if it decides to operate the
a single clockwise route? Provide a numerical answer using the values provided. (Hint:
You should use the largest possible headway that will fulfill the contract.)
(c) How many buses (at a minimum) would it need to run both clockwise and counter-
clockwise routes? Assume that passengers use the direction with the least riding time.
Provide a numerical answer using the values provided.
(d) Compare the number of buses required to operate only one direction of service (b) with
the number of buses required to operate in both directions (c). Determine the general
conditions in terms of D,n,vmax,ts,q and T, which favor two directions over one.
(e) The agency now needs to decide what size buses to purchase. Suppose that the de-
mand rate for each origin-destination pair, q=0.25paxhr, is the mean of a Poisson
distribution. What is the smallest bus capacity that can be used for the one-directional
service (part b) if the agency wants to ensure that there is enough space onboard for
passengers 95% of the time? What is the smallest bus capacity that can be used for the
two-directional service (part c)?
image text in transcribed

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Beetons Book Of Household Management

Authors: Arlene Morriso

1st Edition

1721995153, 978-1721995158

More Books

Students also viewed these General Management questions