A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Custo rrive with a mean of 20 per hour and each desk serves with mean 10 customers per hour, w oth rates are exponential. Determine the following: (a) Determine An, Mn, C, and eff for n = 0, 1, 2, 3.... (b) The steady-state probabilities pn, n = : 0, 1, 2, 3.... (c) Calculate steady-state measures Ls, W₁, L₁, W₁, c and utilization ratio.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Customers
arrive with a mean of 20 per hour and each desk serves with mean 10 customers per hour, where
both rates are exponential. Determine the following :
(a) Determine An, tn, C, and Aeff for n = 0, 1, 2, 3...
(b) The steady-state probabilities pn,n = 0, 1, 2, 3..
(c) Calculate steady-state measures Ls, Ws, Lq, Wq, c and utilization ratio.
Transcribed Image Text:A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Customers arrive with a mean of 20 per hour and each desk serves with mean 10 customers per hour, where both rates are exponential. Determine the following : (a) Determine An, tn, C, and Aeff for n = 0, 1, 2, 3... (b) The steady-state probabilities pn,n = 0, 1, 2, 3.. (c) Calculate steady-state measures Ls, Ws, Lq, Wq, c and utilization ratio.
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