Car owners fill up when their tanks areexactly half full. At the present time, anaverage of 8.4 cars/hr arrive at a single-pump gas station. It takes an average of3.95 minutes to service a car. Supposethat a gas shortage occurs and panicbuying takes place. All car owners nowpurchase gas when their tanks areexactly 3/4 full. Since each car is puttingless gas into the tank for each visit, theaverage service time has been reducedto 2.86 minutes.Assume that arrival and departure ratesare both exponential. What is thedifference in length of queue before andafter the shortage scenario, in terms ofvehicles? answer an absolute value, andin four decimal places.

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Car owners fill up when their tanks are exactly half full. At the present time, an average of 8.4 cars/hr arrive at a single- pump gas station. It takes an average of

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter13: Evaluating Transportation Alternatives

Section: Chapter Questions

Problem 24P

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Concept explainers

Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

Question

Car owners fill up when their tanks are
exactly half full. At the present time, an
average of 8.4 cars/hr arrive at a single-
pump gas station. It takes an average of
3.95 minutes to service a car. Suppose
that a gas shortage occurs and panic
buying takes place. All car owners now
purchase gas when their tanks are
exactly 3/4 full. Since each car is putting
less gas into the tank for each visit, the
average service time has been reduced
to 2.86 minutes.
Assume that arrival and departure rates
are both exponential. What is the
difference in length of queue before and
after the shortage scenario, in terms of
vehicles? answer an absolute value, and
in four decimal places.

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