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customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) \( \lambda= \) \( \mu= \) (b) Show the operat

User MrGibbage
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Given Information:There are customers waiting during the repair process.Arrival rate (λ) = 3 customers per hourService rate (μ) = 4 customers per hourFormula Used:To find the operating characteristics of the waiting line system, use the following formulas: Operating characteristics of the waiting line system λ > μ M/M/1/K/K/K queue model The average number of customers in the system L = λ / (μ - λ) The average time a customer spends in the system W = 1 / (μ - λ)The average time a customer spends waiting in the queue Wq = λ / (μ (μ - λ))The average number of customers waiting in the queue W = λ² / (μ (μ - λ))Explanation:To find the operating characteristics of the waiting line system, we can use the given formulas.Let's put the given information into the formulas.λ = 3μ = 4Average number of customers in the system: L = λ / (μ - λ)L = 3 / (4 - 3)L = 3The average number of customers in the system is 3.The average time a customer spends in the system: W = 1 / (μ - λ)W = 1 / (4 - 3)W = 1The average time a customer spends in the system is 1 hour.The average time a customer spends waiting in the queue: Wq = λ / (μ (μ - λ))Wq = 3 / (4 (4 - 3))Wq = 3The average time a customer spends waiting in the queue is 3 hours.The average number of customers waiting in the queue: Lq = λ² / (μ (μ - λ))Lq = (3)² / (4 (4 - 3))Lq = 3The average number of customers waiting in the queue is 3.

User Jihi
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