Posted: September 14th, 2017

Human Resources (HR)

Human Resources (HR)
Lesson #6, Assignment #5:

1. SCUBA tanks arrive at a pressure test station for testing prior to shipment. The arrival rate is eight per hour and the station test time averages five minutes. Poisson distributions are assumed. Solve the following problems, showing your work:

a. What is the utilization of the test station?
b. What is the probability that a tank will have to wait in queue prior to testing?
c. What is the mean time a tank will spend in queue?
d. What is the mean time that a tank will spend in the system?
e. What is the mean number of tanks which might be expected to be in queue at any time?
f. What is the mean number of tanks which might be expected to be in the system at any time?
g. What is the probability of finding three or more tanks in the system at any time?

2. If the tests performed on the SCUBA tanks in 1) above requires a fixed amount of time – exactly five minutes – and if arrival rate and pattern remain as described, then solve the following problems, showing your work.

a. What is the mean time a tank will spend in queue?
b. What is the mean time that a tank will spend in the system?
c. What is the mean number of tanks which might be expected to be in queue at any time?
d. What is the mean number of tanks which might be expected to be in the system at any time?
e. What effects – if any – will the constant service rates have on the overall costs of SCUBA tank production? Explain your answer.
f. What criteria, in addition to throughput time, will be relevant to any decision about changing the procedures or resources employed in the tank testing?

Dissertation, Macro & Micro economic
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