Chapter 11 Problem 3

# Chapter 11 Problem 3 - = 2 The average number of customers...

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Bill Frino MNMK 413P Chapter 11 Problem #3 Use the single-channel drive-up bank teller operation referred to in Problems 1 and 2 to determine the following operating characteristics for the system: A. The probability that no customers are in the system P0 = 1-(λ/μ)=1-(0.4/0.6) =0.3333 There is a 0.3333 probability that no customers are in the system. B. The average number of customers waiting Lq =λ^2/μ(μ-λ)=(0.4)^2/0.6(0.6-0.4) =1.3333 The average number of customers waiting is 1.3333. C. The average number of customers in the system L =Lq + (λ/μ) = 1.3333 +(0.4)/0.6
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Unformatted text preview: = 2 The average number of customers in the system is 2. D. The average time a customer spends waiting Wq = Lq/ =1.3333/0.4 = 3.3333 min. The average time a customer spends waiting is 3.3333 minutes. E. The average time a customer spends in the system W = Wq +1/ = 3.3333 +(1/0.6) = 5 min. The average time a customer spends in the system is 5 minutes. F. The probability that arriving customers will have to wait for service Pw =/=0.4/0.6 =0.6667 The probability that arriving customers will have to wait for service is 0.6667....
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