Concept explainers
a)
To determine: The offered load.
a)
Explanation of Solution
Given information: The following information are provided in the problem about company LARA,
Calculation of offered load:
.
Offered load is the ratio of average processing time (p) to average interarrival time (a) that is 3 hours divided by 0.5 hours gives 6 as offered load.
b)
To determine: Implied Utilization.
b)
Explanation of Solution
Given information: The following information are provided in the problem,
Calculation of implied utilization:
Implied utilization is the ratio of average processing time to the product of average interarrival time and number of servers. Therefore 3 hours divided by the product of 0.5 hours and 5 reporters gives the implied utilization of 1.2.
c)
To determine: The capacity to complete the assignments.
c)
Explanation of Solution
Given information: The following information are provided in the problem,
Calculation of capacity:
Capacity to complete the assignment is the ratio of number of resources to the average processing time which is product of 5 reporters with 3 hours gives the capacity as 1.67.
d)
To determine: The probability that an incoming text message is not pursued.
d)
Explanation of Solution
Given information: The following information are provided in the problem,
Calculation of probability that three pumps are being used by that an incoming text message is not pursued:
Probability that incoming text message cannot be pursued can be found from Erlang loss table, for r is 6 and number of server m is 5, the corresponding value is 0.3604. Therefore, probability that incoming text message cannot be pursued is 0.3604.
e)
To determine: Flow rate of completed assignments.
e)
Explanation of Solution
Given information: The following information are provided in the problem,
Calculation of flow rate of completed assignments:
The Flow rate of completed assignments is 1.28.
f)
To determine: Utilization of LARA reporter.
f)
Explanation of Solution
Given information: The following information are provided in the problem,
Calculation of utilization:
Utilization is calculated by dividing flowrate with capacity which is the ratio of 1.28 to 1.67 which yields 0.77.
g)
To determine: The number of reporters needed for 85% of the text message to be attended.
g)
Explanation of Solution
Given information: The following information are provided in the problem,
Calculation of number of reporters:
Probability
For r = 6 & Pm as 0.15, the number of operators required is between 7 and 8.
Therefore, the number of reporters required for 85% of text messages to be attended is 8.
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