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categoryهندسة صناعية وإنتاج
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
SELF test
40-hour workweek?
30. A large insurance company maintains a central computing system that contains a variety
of information about customer accounts. Insurance agents in a six-state area use telephone
lines to access the customer information database. Currently, the company's central
Chapter 11 Waiting Line Models
computer system allows three users to access the central computer simultaneously. Agents
who attempt to use the system when it is full are denied access; no waiting is allowed.
Management realizes that with its expanding business, more requests will be made to
the central information system. Being denied access to the system is inefficient as well
as annoying for agents. Access requests follow a Poisson probability distribution, with a
mean of 42 calls per hour. The service rate per line is 20 calls per hour.
a.
What is the probability that 0, 1, 2, and 3 access lines will be in use?
b. What is the probability that an agent will be denied access to the system?
What is the average number of access lines in use?
c.
=50 calls per
d. In planning for the future, management wants to be able to handle A
hour; in addition, the probability that an agent will be denied access to the system
should be no greater than the value computed in part (b). How many access lines
should this system have?
The company operates an
S
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