The reservation office for Central Airlines has two agents answering incoming phone calls for flight reservations. assume that there are infinitely many hold lines, and a caller will always wait until get served. If all three phone lines (both agent lines and the hold line) are busy, a potential customer gets a busy signal, in which case the call may go to another airline. The calls and atempted calls occur randomly (i.e., according to a Poisson process) at a mean rate of 15 per hour. The length of a telephone conversa@on has an exponential distribution with a mean of 4 minutes (a) Construct the rate diagram for this queueing system. (b) The administration has a number of criteria: (1) the average number of callers waiting to be served should not exceed 1, (2) for at least 95 percent of the time, the actual number of callers waiting should not exceed 1, (3) for 99 percent of the callers, the amount of time spent on hold should not exceed 30 minutes. Express each criterion as a math expression. Then use the Excel template to evaluate how well these criteria are being satisfied. Do not use the Excel template.
The reservation office for Central Airlines has two agents answering incoming phone calls for flight reservations. assume that there are infinitely many hold lines, and a caller will always wait until get served. If all three phone lines (both agent lines and the hold line) are busy, a potential customer gets a busy signal, in which case the call may go to another airline. The calls and atempted calls occur randomly (i.e., according to a Poisson process) at a mean rate of 15 per hour. The length of a telephone conversa@on has an exponential distribution with a mean of 4 minutes (a) Construct the rate diagram for this queueing system. (b) The administration has a number of criteria: (1) the average number of callers waiting to be served should not exceed 1, (2) for at least 95 percent of the time, the actual number of callers waiting should not exceed 1, (3) for 99 percent of the callers, the amount of time spent on hold should not exceed 30 minutes. Express each criterion as a math expression. Then use the Excel template to evaluate how well these criteria are being satisfied. Do not use the Excel template.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The reservation office for Central Airlines has two agents answering incoming phone calls for flight
reservations. assume that there are infinitely many hold lines, and a caller will always wait until get served. If
all three phone lines (both agent lines and the hold line) are busy, a potential customer gets a busy signal, in
which case the call may go to another airline. The calls and atempted calls occur randomly (i.e., according to a
Poisson process) at a mean rate of 15 per hour. The length of a telephone conversa@on has an exponential
distribution with a mean of 4 minutes
(a) Construct the rate diagram for this queueing system.
(b) The administration has a number of criteria: (1) the average number of callers waiting to be
served should not exceed 1, (2) for at least 95 percent of the time, the actual number of
callers waiting should not exceed 1, (3) for 99 percent of the callers, the amount of time
spent on hold should not exceed 30 minutes. Express each criterion as a math expression.
Then use the Excel template to evaluate how well these criteria are being satisfied. Do not
use the Excel template.
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