Question In a D/D/1 queueing systems, the arrival rate and service rate are equal to 9 customers/hour and 12 customers/hour, respectively. What is the average queue length? Your Answer: Answer

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Transcribed Image Text: In a D/D/1 queueing systems, the arrival rate and service rate are equal to 9 customers/hour and 12 customers/hour, respectively. What is the average queue length? Your Answer: Answer
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Transcribed Image Text: In a D/D/1 queueing systems, the arrival rate and service rate are equal to 9 customers/hour and 12 customers/hour, respectively. What is the average queue length? Your Answer: Answer
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【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/2In a D/D/1 queueing system, the average queue length can be calculated by taking into account the arrival rate (λ) and service rate (μ). The formula for calculating the average queue length is given as follows:Average Queue Length = λ/(μ-λ)In this case, λ = 9 customers/hour and μ = 12 customers/hour. Therefore, the average queue length can be calculated as follows:Average Queue Length = 9/ (12 - 9) = 9/3=3Therefore, the average queue length in this D/D/1 queueing system is 3 customers/hour.Explanation:Please refer to solution in this step.Step2/2A queueing system is basically a mathematical model that describes the performance of a system where customers wait in line to be served by a server or a set of servers. Queueing systems are used to analyze the performance of communication networks, computer systems, manufacturing systems, and other forms of services. They are also us ... See the full answer