Describe a problem that can be solved by using the shortest-route model.

Describe a problem that can be solved by using the shortest-route model.

MOD 5

Start by reading and following these instructions:

1. Quickly skim the questions or assignment below and the assignment rubric to help you focus.
2. Read the required chapter(s) of the textbook and any additional recommended resources. Some answers may require you to do additional research on the Internet or in other reference sources. Choose your sources carefully.
3. Consider the discussions and any insights gained from it.
4. Create your Assignment submission and be sure to cite your sources, use APA style as required, check your spelling.

Assignment:

1. Explain what it means for an assignment model to be balanced.
2. Explain the purpose of the transshipment constraints in the linear program for a transshipment model.
3. Describe a problem that can be solved by using the shortest-route model.
4. The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back the production capacities at its other two factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses. The table on this page provides the requirement at each of the warehouses, the capacity at each of the factories, and the shipping cost per unit to ship from each factory to each warehouse. Find the least-cost way to meet the requirements given the capacity at each factory

To From

Albuquerque

Boston

Cleveland

Capacity

DES MOINES

$5

$4

$3

300

EVANSVILLE

$8

$4

$3

150

FORT LAUDERDALE

$9

$7

$5

250

REQUIREMENTS

200

200

300

1. In a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in the following table. The plant supervisor would like to assign jobs so that total time is minimized. Find the best solution. Which assignments should be made?

Machine

Job

W

X

Y

Z

A12

10

14

16

13

A15

12

13

15

12

B2

9

12

12

11

B9

14

16

18

16

MOD 6

Start by reading and following these instructions:

1. Quickly skim the questions or assignment below and the assignment rubric to help you focus.
2. Read the required chapter(s) of the textbook and any additional recommended resources. Some answers may require you to do additional research on the Internet or in other reference sources. Choose your sources carefully.
3. Consider the discussions and any insights gained from it.
4. Create your Assignment submission and be sure to cite your sources, use APA style as required, check your spelling.

Assignment:

1. List the advantages and disadvantages of solving integer programming problems by (a) rounding off and (b) enumeration.
2. How do the three types of integer programming problems differ? Which do you think is most common, and why?
3. What is meant by satisficing, and why is the term often used in conjunction with goal programming?
4. What are deviational variables? How do they differ from decision variables in traditional LP problems?
5. The campaign manager for a politician who is running for reelection to a political office is planning the campaign. Four ways to advertise have been selected: TV ads, radio ads, billboards, and social media advertising buys. The costs of these are $900 for each TV ad, $500 for each radio ad, $600 for a billboard for 1 month, and $180 for each buy on social media (approximately 40,000 unique impressions). The audience reached by each type of advertising has been estimated to be 40,000 for each TV ad, 32,000 for each radio ad, 34,000 for each billboard, and 17,000 for each social media buy. The total monthly advertising budget is $16,000. The following goals have been established and ranked:

a. The number of people reached should be at least 1,500,000.

b. The total monthly advertising budget should not be exceeded.

c. Together, the number of ads on either TV or radio should be at least 6.

d. No more than 10 ads/buys of any one type should be used.

i. Formulate this as a goal programming problem.

ii. Solve this using computer software.

iii. Which goals are exactly met and which are not?

1. Mick Garcia, a certified financial planner (CFP), has been asked by a client to invest $250,000. This money may be placed in stocks, bonds, or a mutual fund in real estate. The expected return on investment is 13% for stocks, 8% for bonds, and 10% for real estate. While the client would like a very high expected return, she would be satisfied with a 10% expected return on her money. Due to risk considerations, several goals have been established to keep the risk at an acceptable level. One goal is to put at least 30% of the money in bonds. Another goal is that the amount of money in real estate should not exceed 50% of the money invested in stocks and bonds combined. In addition to these goals, there is one absolute restriction. Under no circumstances should more than $150,000 be invested in any one area.

a. Formulate this as a goal programming problem. Assume that all of the goals are equally important.

b. Use any available software to solve this problem. How much money should be put in each of the investment options? What is the total return? Which of the goals are not met?

MOD 7

Start by reading and following these instructions:

1. Quickly skim the questions or assignment below and the assignment rubric to help you focus.
2. Read the required chapter(s) of the textbook and any additional recommended resources. Some answers may require you to do additional research on the Internet or in other reference sources. Choose your sources carefully.
3. Consider the discussions and any insights gained from it.
4. Create your Assignment submission and be sure to cite your sources, use APA style as required, check your spelling.

Assignment: Choose 6 of the following to answer.

1. As a self-study exercise, complete the self-test at the end of each chapter. Use the key at the back of the book to correct your answers. Re-study pages for any items you answer incorrectly.
2. What are the assumptions necessary for a queuing calculation?
3. When are the Poisson and negative exponential distributions used?
4. What are the advantages and limitations of simulation models?
5. What is operational gaming? What is systems simulation? Give examples of how each may be applied.
6. What is Monte Carlo simulation? What principles underlie its use, and what steps are followed in applying it?
7. From historical data, Harry’s Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes. One car at a time is cleaned in this example of a single-channel waiting line. Assuming Poisson arrivals and exponential service times, find the
8. average number of cars inline.
9. average time a car waits before it is washed.
10. average time a car spends in the service system.
11. utilization rate of the car wash.
12. probability that no cars are in the system.
13. Formulate, develop, and solve a queuing problem for your business unit. For example, the phone calls coming to the receptionist, or work arriving by mail, phone, or in person. List and explain the assumptions that you had to make to enable the problem to be solved, but caused the model to be unrealistic.

MOD 8

Start by reading and following these instructions:

1. Read the questions or assignment below and the assignment rubric to help you focus.
2. Review the chapter(s) and main techniques discussed in the textbook. Some answers may require you to do additional research on the Internet or in other reference sources. Choose your sources carefully.
3. Consider the discussions and any insights gained from it.
4. Create your Assignment submission and be sure to cite your sources, use APA style as required, check your spelling. PLANS Assignment (1000 to 1200 words)

Think about an organizational improvement initiative that you would like to make in an organization of your choice. This could be your current or previous work organization, religious institution, community organization or an organization that serves you as a customer. (Note this could be a Capstone related issue if you want – See PLANS Depot). First, briefly describe the problem or opportunity. Then identify specific quantitative analysis techniques that could help you better understand the nature of the problem or opportunity as well as craft appropriate recommendations. What specific quantitative techniques offer the greatest promise in such analysis? What specific hypotheses might be tested? What insights would be sought in these analyses? What are some of the potential threats to validity that should be considered?

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