queueing theory
i have 3 questions
Q1
The post office uses a multiple channel queue, where customers wait in a single line for the first available window. If the average service time is 1 minute and the arrival rate is 7 customers every five minutes, using the Queuing.xlsx calculator tool, find, when two service windows are open,
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a. |
the probability both windows are idle. |
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b. |
the average number of customers waiting in line. |
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c. |
the average time a customer is in line. |
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d. |
the average time a customer is in the post office. |
Q2
Circle Electric Supply is considering opening a second service counter to better serve the electrical contractor customers. The arrival rate is 10 per hour. The service rate is 14 per hour. If the cost of waiting is $30 and the cost of each service counter is $22 per hour, then should the second counter be opened?
Q3
A company has tool cribs where workmen draw parts. Two men have applied for the position of distributing parts to the workmen. George Fuller is fresh out of trade school and expects a $6 per hour salary. His average service time is 4 minutes. John Cox is a veteran who expects $12 per hour. His average service time is 2 minutes. A workman’s time is figured at $10 per hour. Workmen arrive to draw parts at an average rate of 12 per hour.
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a. |
What is the average waiting time a workman would spend in the system under each applicant? |
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b. |
Which applicant should be hired? |
