It is known, that vehicles begin to arrive at a park entrance at 7:50 am at a constant rate of 8 per minute and at a constant rate of 4 vehicles per minute from 8:00 am on. The park opens at 8:00 am and the manager wants to set the departure rate so that the average delay per vehicle is no longer than 9 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum uniform departure rate needed to archive this? State your answer in vehicles per minute in the form 00.00.
It is known, that vehicles begin to arrive at a park entrance at 7:50 am at a constant rate of 8 per minute and at a constant rate of 4 vehicles per minute from 8:00 am on. The park opens at 8:00 am and the manager wants to set the departure rate so that the average delay per vehicle is no longer than 9 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum uniform departure rate needed to archive this? State your answer in vehicles per minute in the form 00.00.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:It is known, that vehicles begin to arrive at a park entrance at 7:50 am at a constant rate of 8 per minute and at a constant rate of 4 vehicles per minute
from 8:00 am on. The park opens at 8:00 am and the manager wants to set the departure rate so that the average delay per vehicle is no longer than 9
minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum uniform departure rate
needed to archive this? State your answer in vehicles per minute in the form 00.00.
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