Operations Management
Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 10DQ

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10. Describe the behavior of a waiting line where λ > μ. Use both analysis and intuition.

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Question 3) Waiting Line Analysis   Helen runs a small shop where she provides a service. She is able to process an average of 8 customers per hour. An average of 5 customers per hour seek this service at her shop. What is:   a) the probability that Helen will not be working with a customer (no customers) when the shop phone rings? b) the probability of 4 customers in the system? c) the average time a customer spends waiting in line (in minutes)?
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Question An average of 17 cars per hour arrive at a single-server drive-in teller. Assume the average service time for each customer is 4 minutes, and both interarrival times and service times are exponential. Answer the following questions: a. What is the mean arrival time? b. What is the mean service time? c. What is the probability that the teller is busy? d. What is the average number of cars waiting in line for the teller? e. What is the average amount of time a drive-in customer spends waiting in the parking lot? f. What is the average number of cars in the system? g. Describe the possible behavior of customer arrivals. Justify your answer.
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