The following is the queueing model of each company before and after they merge: Company A A = 8 rides booked/hr µ = 5 rides made/hr c = 2 cabs Company B Company C A = 8 rides booked/hr + µ = 5 rides made/hr A = ? rides booked/hr u = ? rides made/hr c = ? cabs c = 2 cabs %3D

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A community is served by two identical companies providing taxi booking
services. Each company owns two cabs, and both book rides at an average rate
of eight per hour. The average duration of a ride is 12 minutes meaning each cab
makes 5 rides per hour. Calls for booking arrive according to a Poisson
distribution, and the rides made is exponential. The two companies have been
bought by an investor and will be merged into one. Analyze the new investor's
proposal.
The following is the queueing model of each company before and after they merge:
Company C
A = ? rides booked/hr
u = ? rides made/hr
c = ? cabs
Company A
Company B
A = 8 rides booked/hr
µ = 5 rides made/hr
2 cabs
A = 8 rides booked/hr
µ = 5 rides made/hr
= 2 cabs
%3D
%3D
%3D
C =
с 3
%3D
Transcribed Image Text:A community is served by two identical companies providing taxi booking services. Each company owns two cabs, and both book rides at an average rate of eight per hour. The average duration of a ride is 12 minutes meaning each cab makes 5 rides per hour. Calls for booking arrive according to a Poisson distribution, and the rides made is exponential. The two companies have been bought by an investor and will be merged into one. Analyze the new investor's proposal. The following is the queueing model of each company before and after they merge: Company C A = ? rides booked/hr u = ? rides made/hr c = ? cabs Company A Company B A = 8 rides booked/hr µ = 5 rides made/hr 2 cabs A = 8 rides booked/hr µ = 5 rides made/hr = 2 cabs %3D %3D %3D C = с 3 %3D
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