Probability that person T is idle. 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.

Question

Want to see the full answer?

Answer 1

Question

Chapter D, Problem 4P

a)

Summary Introduction

To determine: Probability that person T is idle.

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.

b)

Summary Introduction

To determine: The portion of time person T is busy.

c)

Summary Introduction

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

d)

Summary Introduction

To determine: The average number of dogs waiting to be vaccinated.

e)

Summary Introduction

To determine: The average waiting time for a dog before getting vaccinated.

f)

Summary Introduction

To determine: The average time dog spent waiting in line and being vaccinated.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

2

Question 4 A petrol station in the capital Kingstown has a single pump manned by one attendant. Vehicles arrive at the rate of 20 customers per hour and petrol filling takes 2 minutes on an average. Assume the arrival rate is Poisson probability distribution and service rate is exponentially distributed. Arrivals tend to follow a Poisson distribution, and service times tend to be exponential. The attendant is paid $10 per hour, but because of lost goodwill and sales, station loses about $15 per hour of customer time spent waiting for the attendant to service and order. Part A Answer the following questions based on single channel model: a. What is the probability that no customers are in the system (Po)?! b. What is the average number of customers waiting for service (Lq)? c. What is the average number of customers in the system (L)?………….. d. What is the average time a customer waits for service (Wq)?! e. What is the average time in the system (W)?❤❤ s f. What is the probability that a…

Question 8 (Atlantic Video) Atlantic Video, a small video rental store in Philadelphia, is open 24 hours a day, and—due to its proximity to a major business school—experiences customers arriving around the clock. A recent analysis done by the store manager indicates that there are 30 customers arriving every hour, with a standard deviation of interarrival times of 2 minutes. This arrival pattern is consistent and is independent of the time of day. The checkout is currently operated by one employee, who needs on average 1.7 minutes to check out a customer. The standard deviation of this check-out time is 3 minutes, primarily as a result of customers taking home different numbers of videos. a. If you assume that every customer rents at least one video (i.e., has to go to the checkout), what is the average time a customer has to wait in line before getting served by the checkout employee, not including the actual checkout time (within 1 minute)? b. If there are no customers requiring…

Answer 2

Question

Chapter D, Problem 4P

a)

Summary Introduction

To determine: Probability that person T is idle.

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.

b)

Summary Introduction

To determine: The portion of time person T is busy.

c)

Summary Introduction

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

d)

Summary Introduction

To determine: The average number of dogs waiting to be vaccinated.

e)

Summary Introduction

To determine: The average waiting time for a dog before getting vaccinated.

f)

Summary Introduction

To determine: The average time dog spent waiting in line and being vaccinated.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter D, Problem 4P

a)

Summary Introduction

To determine: Probability that person T is idle.

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.

b)

Summary Introduction

To determine: The portion of time person T is busy.

c)

Summary Introduction

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

d)

Summary Introduction

To determine: The average number of dogs waiting to be vaccinated.

e)

Summary Introduction

To determine: The average waiting time for a dog before getting vaccinated.

f)

Summary Introduction

To determine: The average time dog spent waiting in line and being vaccinated.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter D, Problem 4P

a)

Summary Introduction

To determine: Probability that person T is idle.

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.

b)

Summary Introduction

To determine: The portion of time person T is busy.

c)

Summary Introduction

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

d)

Summary Introduction

To determine: The average number of dogs waiting to be vaccinated.

e)

Summary Introduction

To determine: The average waiting time for a dog before getting vaccinated.

f)

Summary Introduction

To determine: The average time dog spent waiting in line and being vaccinated.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter D, Problem 4P

a)

Summary Introduction

To determine: Probability that person T is idle.

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.

b)

Summary Introduction

To determine: The portion of time person T is busy.

c)

Summary Introduction

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

d)

Summary Introduction

To determine: The average number of dogs waiting to be vaccinated.

e)

Summary Introduction

To determine: The average waiting time for a dog before getting vaccinated.

f)

Summary Introduction

To determine: The average time dog spent waiting in line and being vaccinated.

Answer 6

Chapter D, Problem 4P

a)

Summary Introduction

To determine: Probability that person T is idle.

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.

Answer 7

Chapter D, Problem 4P

a)

Summary Introduction

To determine: Probability that person T is idle.

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.

Answer 8

b)

Summary Introduction

To determine: The portion of time person T is busy.

Answer 9

b)

Summary Introduction

To determine: The portion of time person T is busy.

Answer 10

c)

Summary Introduction

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

Answer 11

c)

Summary Introduction

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

Answer 12

d)

Summary Introduction

To determine: The average number of dogs waiting to be vaccinated.

Answer 13

d)

Summary Introduction

To determine: The average number of dogs waiting to be vaccinated.

Answer 14

e)

Summary Introduction

To determine: The average waiting time for a dog before getting vaccinated.

Answer 15

e)

Summary Introduction

To determine: The average waiting time for a dog before getting vaccinated.

Answer 16

f)

Summary Introduction

To determine: The average time dog spent waiting in line and being vaccinated.

Answer 17

f)

Summary Introduction

To determine: The average time dog spent waiting in line and being vaccinated.

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 21

Ch. D - Prob. 1DQ Ch. D - Prob. 2DQ Ch. D - Question 3. Name the three factors that govern the...Ch. D - Prob. 4DQ Ch. D - Prob. 5DQ Ch. D - Prob. 6DQ Ch. D - Prob. 7DQ Ch. D - Prob. 8DQ Ch. D - Prob. 9DQ Ch. D - Question 10. Describe the behavior of a waiting...

Probability that person T is idle. 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.

Solution Summary: The author explains the mathematical study which analyses the causes of delay in the waiting line is known as queuing theory.

Concept explainers

Videos

To determine: The portion of time person T is busy.

To determine: The average number of dogs being vaccinated and waiting to be vaccinated.

To determine: The average number of dogs waiting to be vaccinated.

To determine: The average waiting time for a dog before getting vaccinated.

To determine: The average time dog spent waiting in line and being vaccinated.

Want to see the full answer?

Chapter D Solutions