Figure 6S-1 Customers enter a haberdashery that sells only ascots, cufflinks and suspenders and are served by the owner operator. The owner is the only employee, so if customer B arrives while customer A is being served, customer B must patiently wait until customer A exits the system. Customers are always willing to wait regardless of how long their wait is. The interarrival and service times are uniformly distributed and shown in the table below. \[\begin{array} { | c | c | c | } \hline \text { Range } & \text { Interarrival (min) } & \text { Service (min) } \\ \hline 0.000 - 0.200 & 3 & 6 \\ \hline 0.201 - 0.400 & 6 & 7 \\ \hline 0.401 - 0.600 & 9 & 8 \\ \hline 0.601 - 0.800 & 12 & 9 \\ \hline 0.801 - 1.000 & 15 & 10 \\ \hline \end{array}\] The stream of random number for a Monte Carlo simulation of the system appear in this table \[\begin{array} { | c | c | } \hline \text { Interarrival } & \text { Service } \\ \hline .114 & .979 \\ \hline .899 & .297 \\ \hline .925 & .162 \\ \hline .085 & .574 \\ \hline .824 & .235 \\ \hline .151 & .593 \\ \hline .223 & .956 \\ \hline .477 & .845 \\ \hline \end{array}\] -Use the data from Figure 6S-1. What are the exit times of the system for the first eight customers of the day?

Arrival times, service times, and depart

Figure 6S-1 Customers enter a haberdashery that sells only ascots, cufflinks and suspenders and are served by the owner operator. The owner is the only employee, so if customer B arrives while customer A is being served, customer B must patiently wait until customer A exits the system. Customers are always willing to wait regardless of how long their wait is. The interarrival and service times are uniformly distributed and shown in the table below. \[\begin{array} { | c | c | c | } \hline \text { Range } & \text { Interarrival (min) } & \text { Service (min) } \\ \hline 0.000 - 0.200 & 3 & 6 \\ \hline 0.201 - 0.400 & 6 & 7 \\ \hline 0.401 - 0.600 & 9 & 8 \\ \hline 0.601 - 0.800 & 12 & 9 \\ \hline 0.801 - 1.000 & 15 & 10 \\ \hline \end{array}\] The stream of random number for a Monte Carlo simulation of the system appear in this table> \[\begin{array} { | c | c | } \hline \text { Interarrival } & \text { Service } \\ \hline .114 & .979 \\ \hline .899 & .297 \\ \hline .925 & .162 \\ \hline .085 & .574 \\ \hline .824 & .235 \\ \hline .151 & .593 \\ \hline .223 & .956 \\ \hline .477 & .845 \\ \hline \end{array}\] -Use the data from Figure 6S-1. How many customers are in the haberdashery at 9:08?

A) 0 B) 1 C) 2 D) 3 A) 0 B) 1 C) 2 D) 3

Exam 6: S: Advanced Waiting Line Theory and Simulation Modeling

The department chair is out of town at a conference and you, as the assistant department chair, find yourself besieged by dozens of students needing permission to get into a very popular (but closed)class. Student arrivals are governed by the Poisson distribution with a mean of 5 minutes. Telling the students that they can't get into the closed class takes about 3 minutes, and this average is exponentially distributed. About how long does it take a student to wait in line and receive your valuable service?

Free

(Multiple Choice)

4.9/5

(32)

Question 1

Correct Answer:

Verified

What is Monte Carlo simulation and how is it conducted?

Free

(Essay)

4.8/5

(31)

Question 2

Correct Answer:

Verified

Monte Carlo simulation is a form of simulation modeling called mathematical simulation, where mathematical formulas and statistical processes are used to simulate activities, decisions, and the like. In Monte Carlo simulation, statistical sampling is used to generate outcomes for a large number of trials. The results of these trials are then used to gain insight into the system of interest.
Monte Carlo simulation is used to simulate all types of systems and many types of statistical distributions.
The modeler must map the random numbers to the outcomes of events under study, then generate a stream of numbers that can be interpreted by the mapping so that the events are interpretable. The stream of numbers could be mined from a page turner such as A Million Random Digits with 100000 Normal Deviates by the RAND Corporation or more commonly, from a computer program.

Barber College is the best deal in town! For only $5, you can get a shampoo and cut by any one of four untrained stylists completed in 7.5 minutes on average. Perhaps this is why customers show up on average two minutes apart (both arrival times and service times are exponentially distributed).Develop a full description of the system performance. How much does performance improve if another barber is added to the customer service staff?

Free

(Essay)

4.8/5

(29)

Question 3

Correct Answer:

Verified

Average server utilization is high at u = $\frac { 7.5 } { 2 \times 4 }$ = 0.9375. The average number of customers in the queue is 12.98 and the average waiting time is 25.95 minutes.
Adding another server improves these numbers dramatically; the utilization is then 0.75 and queue length and wait time drop to 1.39 customers and about 3 minutes respectively.

One advantage of simulation modeling is:

(Multiple Choice)

4.8/5

(35)

Question 4

Simulation permits the modeler to discover what might happen should certain events occur, for example, extreme levels of customer demand, equipment malfunction, etc. This type of analysis is known as ________ analysis.

(Short Answer)

4.9/5

(26)

Question 5

Gerard is choosing between two methods of organizing his bakery. Method one will require a counter person to wait on each customer individually before they proceed to the cashier to pay for their purchases. In this system, customers will arrive at the rate of 8 per hour and can be served by the counter person at the rate of 15 per hour. The cashier will be capable of serving customers at the rate of 20 per hour. For simplification purposes, assume that the arrival rate at the cashier phase is identical to the arrival rate at the first phase and that these waiting lines can be analyzed independently and combined. Method two will have the two employees wait on customers as they selected their pastries and also collect their money once their selections have been made. Customers still arrive at the rate of 8 per hour but now the total service time (pastry selection and payment collection)takes 5 minutes per customer. Calculate the average number of customers in the bakery and the average time spent in the bakery for both systems and make your recommendations to Gerard. Assume that service times are exponentially distributed and arrivals follow a Poisson distribution.

(Essay)

4.8/5

(38)

Question 6

The only way to enter Jellystone Park is past Ranger Smith, who checks your camping gear and warns you about the bears in the park. The next step of the entrance process is to pay your site fee to Ranger Dwayne. This is a single ________ system.

(Short Answer)

4.8/5

(31)

Question 7

Barber College is the best deal in town! For only $5, you can get a shampoo and cut by any one of four untrained stylists completed in 7.5 minutes on average. Perhaps this is why customers show up on average two minutes apart (both arrival times and service times are exponentially distributed). How long does a customer spend waiting for a haircut?

(Multiple Choice)

4.9/5

(33)

Question 8

Barber College is the best deal in town! For only $5, you can get a shampoo and cut by any one of four untrained stylists completed in 7.5 minutes on average. Perhaps this is why customers show up on average two minutes apart (both arrival times and service times are exponentially distributed). On average, how many customers are waiting in line?

(Multiple Choice)

4.7/5

(32)

Question 9

One approach to mathematical simulation where statistical sampling is used to generate outcomes for a large number of trials is ________.

(Short Answer)

4.9/5

(34)

Question 10

Figure 6S-1 Customers enter a haberdashery that sells only ascots, cufflinks and suspenders and are served by the owner operator. The owner is the only employee, so if customer B arrives while customer A is being served, customer B must patiently wait until customer A exits the system. Customers are always willing to wait regardless of how long their wait is. The interarrival and service times are uniformly distributed and shown in the table below. Range Interarrival (min) Service (min) 0.000-0.200 3 6 0.201-0.400 6 7 0.401-0.600 9 8 0.601-0.800 12 9 0.801-1.000 15 10 The stream of random number for a Monte Carlo simulation of the system appear in this table Interarrival Service .114 .979 .899 .297 .925 .162 .085 .574 .824 .235 .151 .593 .223 .956 .477 .845 -Use the data from Figure 6S-1. What are the exit times of the system for the first eight customers of the day?

(Essay)

4.8/5

(31)

Question 11

Hysterical cruise vacationers besiege Tatiana, their excursion coordinator, and her fourteen assistants at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular. It takes them 4 minutes to find the customers an alternative excursion activity and customers cluster around them at the rate of 200 per hour. About how long does a customer spend waiting in line and receiving their valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

(Multiple Choice)

4.8/5

(32)

Question 12

Regulars line up to spin the giant slot machine at the entrance to Ace Rothstein's Tangiers casino. They pour in the door at the rate of 300 per hour and it takes exactly ten seconds every time for the wheels to spin and inform the unlucky patron that they have lost a dollar rather than win a new Corvette. How long do customers wait in line on average?

(Multiple Choice)

4.7/5

(23)

Question 13

In waiting line theory, the number of channels refers to the number of customer waiting lines in the system.

(True/False)

4.9/5

(33)

Question 14

Figure 6S-1 Customers enter a haberdashery that sells only ascots, cufflinks and suspenders and are served by the owner operator. The owner is the only employee, so if customer B arrives while customer A is being served, customer B must patiently wait until customer A exits the system. Customers are always willing to wait regardless of how long their wait is. The interarrival and service times are uniformly distributed and shown in the table below. Range Interarrival (min) Service (min) 0.000-0.200 3 6 0.201-0.400 6 7 0.401-0.600 9 8 0.601-0.800 12 9 0.801-1.000 15 10 The stream of random number for a Monte Carlo simulation of the system appear in this table> Interarrival Service .114 .979 .899 .297 .925 .162 .085 .574 .824 .235 .151 .593 .223 .956 .477 .845 -Use the data from Figure 6S-1. How many customers are in the haberdashery at 9:08?

(Multiple Choice)

4.8/5

(41)

Question 15

The Greek letter lambda (λ)is used to represent the service rate of a waiting line system.

(True/False)

4.8/5

(36)

Question 16

Customer arrivals at a dry cleaning service occur randomly throughout the day. The distribution that is usually used to model the interval between arrivals is the:

(Multiple Choice)

4.9/5

(25)

Question 17

Each outcome of flipping a fair coin is completely independent of the previous flip. This outcome is known as:

(Multiple Choice)

4.8/5

(36)

Question 18

Nervous cruise vacationers besiege Tatiana, their excursion coordinator, at the Port of Cozumel when they realize that all water excursions have been cancelled for no reason in particular. It takes her 2.5 minutes to find the customers an alternative excursion activity and customers cluster around her at the rate of 20 per hour. About how long does a customer spend waiting in line and receiving her valuable service if the service times are exponentially distributed and the arrivals follow a Poisson distribution?

(Multiple Choice)

4.7/5

(40)

Question 19

The department chair is out of town at a conference and you, as the assistant department chair, find yourself besieged by dozens of students needing permission to get into a very popular (but closed)class. Student arrivals are governed by the Poisson distribution with a mean of 5 minutes. Telling the students that they can't get into the closed class takes about 3 minutes, and this average is exponentially distributed. About how many students are waiting outside your office door and in your office?

(Multiple Choice)

5.0/5

(39)

Question 20

Showing 1 - 20 of 70

What is Monte Carlo simulation and how is it conducted?

One advantage of simulation modeling is:

Simulation permits the modeler to discover what might happen should certain events occur, for example, extreme levels of customer demand, equipment malfunction, etc. This type of analysis is known as ________ analysis.

The only way to enter Jellystone Park is past Ranger Smith, who checks your camping gear and warns you about the bears in the park. The next step of the entrance process is to pay your site fee to Ranger Dwayne. This is a single ________ system.

One approach to mathematical simulation where statistical sampling is used to generate outcomes for a large number of trials is ________.

In waiting line theory, the number of channels refers to the number of customer waiting lines in the system.

The Greek letter lambda (λ)is used to represent the service rate of a waiting line system.

Customer arrivals at a dry cleaning service occur randomly throughout the day. The distribution that is usually used to model the interval between arrivals is the:

Each outcome of flipping a fair coin is completely independent of the previous flip. This outcome is known as:

Introduction to Operations and Supply Chain Management

Operations and Supply Chain Strategies

Process Choice and Layout Decisions in Manufacturing and Services

Business Processes

Managing Quality

Managing Capacity

Supply Management

Logistics

Forecasting

Sales and Operations Planning Aggregate Planning

Managing Inventory Throughout the Supply Chain

Managing Production Across the Supply Chain

S: Supply Chain Information Systems

Jitlean Production

Managing Projects

Developing Products and Services

Filters