the probability of no customers in two mins. Concept introduction :Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

Question

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Answer 1

Question

Chapter 7.3, Problem 12P

a)

Summary Introduction

Interpretation: the probability of no customers in two mins.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

b)

Summary Introduction

Interpretation: probability of exactly two customers in a minute.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

c)

Summary Introduction

Interpretation:probability of exactly five customers in threeminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

d)

Summary Introduction

Interpretation:probability of no more than two customers in fiveminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

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The following data has been collected on the number of customers seen to arriveto a museum in a succession of 5-minute intervals: 5, 1, 3, 7, 5, 5, 6, 7, 5, 7, 4, 8, 1,5, 2, 3, and 5. Estimate the squared coefficient of variation of the arrival process. Ifthis data was known to come from a Poisson process, what would be your estimateof l, the rate of customer arrivals?

Customer arrive at one-window drive in bank according to Poisson distribution with mean 10 per hour. Service time per customer is exponential with mean 5 minutes. There are three spaces in front of the window, including the car being served. Other arriving cars can wait outside these three spaces. A. What is the probability that an arriving customer can enter one of these three spaces? B. What is the probability that an arriving customer is expected to wait outside the three spaces. C.How long is an arriving customer expected to wait before starting service.

The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. How long in minutes would it take the customer from lining up until he leaves the waiting line? b.How long in minutes would a customer wait to be served on average? c.Find the probability that there are 7 customers in the system.

Answer 2

Question

Chapter 7.3, Problem 12P

a)

Summary Introduction

Interpretation: the probability of no customers in two mins.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

b)

Summary Introduction

Interpretation: probability of exactly two customers in a minute.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

c)

Summary Introduction

Interpretation:probability of exactly five customers in threeminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

d)

Summary Introduction

Interpretation:probability of no more than two customers in fiveminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

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Answer 3

Question

Chapter 7.3, Problem 12P

a)

Summary Introduction

Interpretation: the probability of no customers in two mins.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

b)

Summary Introduction

Interpretation: probability of exactly two customers in a minute.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

c)

Summary Introduction

Interpretation:probability of exactly five customers in threeminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

d)

Summary Introduction

Interpretation:probability of no more than two customers in fiveminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

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Answer 4

Question

Chapter 7.3, Problem 12P

a)

Summary Introduction

Interpretation: the probability of no customers in two mins.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

b)

Summary Introduction

Interpretation: probability of exactly two customers in a minute.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

c)

Summary Introduction

Interpretation:probability of exactly five customers in threeminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

d)

Summary Introduction

Interpretation:probability of no more than two customers in fiveminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

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Answer 5

Chapter 7.3, Problem 12P

a)

Summary Introduction

Interpretation: the probability of no customers in two mins.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

b)

Summary Introduction

Interpretation: probability of exactly two customers in a minute.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

c)

Summary Introduction

Interpretation:probability of exactly five customers in threeminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

d)

Summary Introduction

Interpretation:probability of no more than two customers in fiveminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

Answer 6

Chapter 7.3, Problem 12P

a)

Summary Introduction

Interpretation: the probability of no customers in two mins.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

Answer 7

Chapter 7.3, Problem 12P

a)

Summary Introduction

Interpretation: the probability of no customers in two mins.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.

Answer 8

b)

Summary Introduction

Interpretation: probability of exactly two customers in a minute.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

Answer 9

b)

Summary Introduction

Interpretation: probability of exactly two customers in a minute.

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

Answer 10

c)

Summary Introduction

Interpretation:probability of exactly five customers in threeminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

Answer 11

c)

Summary Introduction

Interpretation:probability of exactly five customers in threeminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

Answer 12

d)

Summary Introduction

Interpretation:probability of no more than two customers in fiveminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

Answer 13

d)

Summary Introduction

Interpretation:probability of no more than two customers in fiveminutes

Concept introduction:Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 7.1 - Prob. 1P Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.1 - Prob. 7P Ch. 7.2 - Prob. 8P Ch. 7.2 - Prob. 9P Ch. 7.2 - Prob. 10P

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Chapter 7 Solutions