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# hw4 - 17.2-3 Mom-and-Pop's Grocery Store has a small...

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17.2-3. Mom-and-Pop’s Grocery Store has a small adjacent parking lot with three parking spaces reserved for the store’s customers. During store hours, cars enter the lot and use one of the spaces at a mean rate of 2 per hour. For n = 0, 1, 2, 3, the probability P_n that exactly n spaces currently are being used is P_0 = 0.2, (please notice that here “_” means the subscript) P_1 = 0.3, P_2 = 0.3, P_3 = 0.2. (a) Describe how this parking lot can be interpreted as being a queuing system. In particular, identify the customers and the severs. What is the service being provided? What constitutes a service time? What is the queue capacity? (b) Determine the basic measures of performance—L, L_q, W, and W_q—for this queuing system. (c) Use the results from part (b) to determine the average length of time that a car remains in a parking space. 17.2-4. For each of the following statements about the queue in a queuing system, label the statement as true or false and then justify your answer by referring to a specific statement in the chapter.

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