One field representative services 5 customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every 3.1 working days. The field representative can handle an average (Poisson-distributed) of 1.0 call per day. Determine: Use Table 1.
One field representative services 5 customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every 3.1 working days. The field representative can handle an average (Poisson-distributed) of 1.0 call per day. Determine: Use Table 1.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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One field representative services 5 customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every 3.1 working days. The field representative can handle an average (Poisson-distributed) of 1.0 call per day. Determine: Use Table 1.
a. The expected number of customers waiting. (Round "X" value to 2 decimal places. Round your answer to 3 decimal places.)
Expected number of customers waiting
b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.)
Average length of time days
c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.)
Percentage of Idle time
d. By how much would your answer to part a be reduced if a second field rep were added? (Round your answer to 3 decimal places.)
Reduced number of customer(s)
a. The expected number of customers waiting. (Round "X" value to 2 decimal places. Round your answer to 3 decimal places.)
Expected number of customers waiting
b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.)
Average length of time days
c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.)
Percentage of Idle time
d. By how much would your answer to part a be reduced if a second field rep were added? (Round your answer to 3 decimal places.)
Reduced number of customer(s)
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