The expected number of customer waiting. Queuing theory : It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

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Answer 1

Question

Chapter 18, Problem 9P

a.

Summary Introduction

To determine: The expected number of customer waiting.

Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

b.

Summary Introduction

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

c.

Summary Introduction

To determine: The percentage of time the service representative will be idle.

d.

Summary Introduction

To determine: Reduction in expected number of customers waiting.

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Customers in a small retail store arrive at the single cashier on average every 6 minutes. The average service time for the cashier is 5 minutes.Arrivals tend to follow a Poisson distribution, and service times follow anexponential distribution. We need to analyze this waiting-line system.(a) What is the average utilization of the cashier?(b) What is the average number of customers in the system?(c) What is the average number of customers in the line?(d) What is the average time spent in the system?(e) What is the average time spent in line?(f) The owner feels that if there are more than 5 customers at the cashier(waiting in the line and being served), we induce ill-will in our customers, and they will not return. What is the probability that there willbe more than 5 customers in the system?(g) Should the retail store consider creating a second

One field representative services 5 customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every 1.5 working days. The field representative can handle an average (Poisson-distributed) of 1.0 call per day. Determine: Use Table 1. a. The expected number of customers waiting. (Round "X" value to 2 decimal places. Round your answer to 3 decimal places.) Expected number of customers waiting b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.) Average length of time days c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.) Percentage of Idle time d. By how much would your answer to part a be reduced if a second field rep were added? (Round your answer to 3 decimal places.) Reduced number of customer(s)

Customers enter the camera department of a store at an average rate of six per hour. The department is staffed by one employee, who takes an average of six minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation.a. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? How long would a customer expect to spend in the camera department (total time)?b. What is the utilization of the clerk?c. What is the probability that there are more than two people in the camera department (excluding the clerk)?d. Another clerk has been hired for the camera department who also takes an average of six minutes to serve each arrival. How long would a customer expect to spend in the department now?

Answer 2

Question

Chapter 18, Problem 9P

a.

Summary Introduction

To determine: The expected number of customer waiting.

Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

b.

Summary Introduction

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

c.

Summary Introduction

To determine: The percentage of time the service representative will be idle.

d.

Summary Introduction

To determine: Reduction in expected number of customers waiting.

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Answer 3

Question

Chapter 18, Problem 9P

a.

Summary Introduction

To determine: The expected number of customer waiting.

Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

b.

Summary Introduction

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

c.

Summary Introduction

To determine: The percentage of time the service representative will be idle.

d.

Summary Introduction

To determine: Reduction in expected number of customers waiting.

Expert Solution & Answer

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Answer 4

Question

Chapter 18, Problem 9P

a.

Summary Introduction

To determine: The expected number of customer waiting.

Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

b.

Summary Introduction

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

c.

Summary Introduction

To determine: The percentage of time the service representative will be idle.

d.

Summary Introduction

To determine: Reduction in expected number of customers waiting.

Expert Solution & Answer

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Answer 5

Chapter 18, Problem 9P

a.

Summary Introduction

To determine: The expected number of customer waiting.

Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

b.

Summary Introduction

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

c.

Summary Introduction

To determine: The percentage of time the service representative will be idle.

d.

Summary Introduction

To determine: Reduction in expected number of customers waiting.

Answer 6

Chapter 18, Problem 9P

a.

Summary Introduction

To determine: The expected number of customer waiting.

Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

Answer 7

Chapter 18, Problem 9P

a.

Summary Introduction

To determine: The expected number of customer waiting.

Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.

Answer 8

b.

Summary Introduction

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

Answer 9

b.

Summary Introduction

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

Answer 10

c.

Summary Introduction

To determine: The percentage of time the service representative will be idle.

Answer 11

c.

Summary Introduction

To determine: The percentage of time the service representative will be idle.

Answer 12

d.

Summary Introduction

To determine: Reduction in expected number of customers waiting.

Answer 13

d.

Summary Introduction

To determine: Reduction in expected number of customers waiting.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 18 - Prob. 1DRQ Ch. 18 - Why do waiting lines form even though a service...Ch. 18 - Prob. 3DRQ Ch. 18 - Prob. 4DRQ Ch. 18 - What approaches do supermarkets use to offset...Ch. 18 - Prob. 6DRQ Ch. 18 - Prob. 7DRQ Ch. 18 - Prob. 8DRQ Ch. 18 - Prob. 9DRQ Ch. 18 - Prob. 1TS

Solution Summary: The author explains queuing theory, which is a mathematical study of queues or waiting lines. It is used for decision making about the resources required to offer services.

Concept explainers

To determine: The average length of time customers must wait from the initial request for service until the service has been completed.

To determine: The percentage of time the service representative will be idle.

To determine: Reduction in expected number of customers waiting.

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Chapter 18 Solutions