·Question 4 (of 10) Save& E 4. 1000 points PA 16-13 Larry Ellison starts a compa
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·Question 4 (of 10) Save& E 4. 1000 points PA 16-13 Larry Ellison starts a company that manufacturers... Larry Elison starts a company that manufacturers high-end custom leather bags. He hires 4 employees. Each employee only begins working on a bag when a customer order has been received and then she makes the bag from beginning to end. The average production time of a bag is 2.1 days with a standard deviation of 2.8 days. Larry expects to receive one customer order per day on average. The interarrival times of orders have a coefficient of variation of 1. What is the expected duration, in days, between when an order is received and when production begins on the bag? Round to nearest integer. days References Book & Resources Difficulty: 3 Hard PA 16-13 Larry Ellison starts a company that manufacturers Learning Objective: 16-03 For a queue with variable Interarrival and processing tmes and multiple servers, evaluate several understand the factors that nfluence those measuresExplanation / Answer
# of employees, n=4
Avg. Production time, p = 2.1 days , Standard deviation = 2.8 days , Cvp = 2.8/2.1 = 1.33
Order expected , CVa = 1 per day
The interarrival coefficient of order, a =1 day
Utilization = p / (a*n) = 1.8 /4 = 0.45
Utilization factor = (Utilization^((2*(n+1)-1)^1/2/1-Utilization) =
Variability factor = (Cvp^2+CVa^2) /2 = 1.38
Capacity factor = p/n = 1.8/4 = 0.45
Time in queue in days = Capacity factor * Utilization factor * Variability factor = 0.10 days
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