Mylab Operations Management With Pearson Etext -- Access Card -- For Operations Management: Sustainability And Supply Chain Management (13th Edition)
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Chapter D, Problem 24P
Summary Introduction

To determine: The number of sales people to be hired.

Introduction: The mathematical study which analyses the causes of delay in the waiting line is known as queuing theory. The theory examines all components in the waiting line such as arrival process, service process, and number of servers, system and customers.

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Q4. A. Explain the concept of queue and queue theory or waiting line theory and its importance in business B. A bank has only one counter for its customers. Suppose that the customers to the bank arrive at random with exponential inter arrival time and their mean inter arrival time is 10 minutes. Suppose the counter takes on an average 15 minutes to serve the customer and this also follow an exponential distribution. a) What percentage of time the bank counter is busy? b) On the average, how many customers are in the system? c) On the average, how many customers are in the queue waiting for the service? d) How long a customer will take to be out of the service system after being served? e) How long a customer to wait before being served? f) What is the probability that there are at most three customers in the system?
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.
Name the three parts of a typical queuing system.

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Mylab Operations Management With Pearson Etext -- Access Card -- For Operations Management: Sustainability And Supply Chain Management (13th Edition)

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