a. Find lambda () b. Find mu () c. Find rho () for the single server model

 

  

 

a. Find lambda (λ)

b. Find mu (μ)

c. Find rho (ρ) for the single server model and fill in the chart.

d. Find P0 to P6 for the single server model and fill in the chart.

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Suppose that on average 17 customers arrive per hour and that in an 8 hour shift, a server can help 200 customers. Based on this information and the table, calculate the questions below: Lambda Mu Servers % Time Server Busy (rho) Probability of 10 1 2 6 In the system Number in System n(s) Number in Line n(1) Time in System t(s) Time in Line t(1) CUSTOMERS 2.13 TIME (Minutes) 7.500 2 0.340 49.3% 33.5% 11.4% 3.9% 1.3% 0.04% 0.004% CUSTOMERS 0.77 0.09 TIME (Minutes) 2.714 0.314 3 0.227 50.5% 34.4% 11.7% 2.6% 0.6% 0.14% 0.03% CUSTOMERS 0.690 0.010 TIME (Minutes) 2.435 0.035 Suppose that on average 17 customers arrive per hour and that in an 8 hour shift, a server can help 200 customers. Based on this information and the table, calculate the questions below: Lambda Mu Servers % Time Server Busy (rho) Probability of 10 1 2 6 In the system Number in System n(s) Number in Line n(1) Time in System t(s) Time in Line t(1) CUSTOMERS 2.13 TIME (Minutes) 7.500 2 0.340 49.3% 33.5% 11.4% 3.9% 1.3% 0.04% 0.004% CUSTOMERS 0.77 0.09 TIME (Minutes) 2.714 0.314 3 0.227 50.5% 34.4% 11.7% 2.6% 0.6% 0.14% 0.03% CUSTOMERS 0.690 0.010 TIME (Minutes) 2.435 0.035

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To calculate the values based on the provided information lets go through each question step by step 1 Lambda arrival rate The average number of custo... View the full answer