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, Mn, C, and eff for n = 0, 1, 2, 3.... (b) The steady-state probabilities pn, n = (c) Calculate steady-state measures Ls, Ws, Lq, Wq,c and utilization ratio. = 0, 1, 2, 3....

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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, Lg, 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, Lg, Wq, c and utilization ratio.
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