It is the manager's service goal to limit the waiting time prior to beginning the checkout process to no more than five minutes. After reviewing the waiting line anal the manager of Pete's Market wants to consider one of the following alternatives for improving service. (a) Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improv operation, the service rate could be increased to 30 customers per hour. (Round your answers to four decimal places. Report time in hours.) Lg= W₁ = h (b) Hire a second person to operate a second checkout counter. The two-server operation would have a service rate of 20 customers per hour for each server. (R to four decimal places. Report time in hours.) Po = Lg= W = h
It is the manager's service goal to limit the waiting time prior to beginning the checkout process to no more than five minutes. After reviewing the waiting line anal the manager of Pete's Market wants to consider one of the following alternatives for improving service. (a) Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improv operation, the service rate could be increased to 30 customers per hour. (Round your answers to four decimal places. Report time in hours.) Lg= W₁ = h (b) Hire a second person to operate a second checkout counter. The two-server operation would have a service rate of 20 customers per hour for each server. (R to four decimal places. Report time in hours.) Po = Lg= W = h
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:Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an
arrival rate of 13 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 20 customers per hour.
It is the manager's service goal to limit the waiting time prior to beginning the checkout process to no more than five minutes. After reviewing the waiting line analysis of his store,
the manager of Pete's Market wants to consider one of the following alternatives for improving service.
(a) Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improved single-server
operation, the service rate could be increased to 30 customers per hour. (Round your answers to four decimal places. Report time in hours.)
La
Wq
Po
(b) Hire a second person to operate a second checkout counter. The two-server operation would have a service rate of 20 customers per hour for each server. (Round your answers
to four decimal places. Report time in hours.)
La
W
=
q
=
=
h
=
h
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