Loading...

PPT – Linear Programming PowerPoint presentation | free to download - id: 1cb0ef-MWFlM

The Adobe Flash plugin is needed to view this content

View by Category

Presentations

Products
Sold on our sister site CrystalGraphics.com

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Linear Programming

- Transportation Networks
- CIVE 744

Objective

- Understand the basic concepts of Linear

Programming models and learn basic methods of

solving them on computer.

Index

- I. Introduction (brief summary)
- a. Overview
- b. Structure of a linear programming model

(objective function, variables and constraints). - II. Solution of a Linear Programming Problem
- a. Verbal Description of a problem and

symbolic formulation - b. Graphical solution
- III. Computer solving of a LP model
- a. Excel solving solution
- b. Lindo solving solution

I. Introduction

- OVERVIEW
- Linear programming (LP) can ease the task of

solving a particular type of planning problem.

LP is a mathematical method or set of procedures

to solve and interpret the results of a model of

Linear functions that in conjunction represents a

phenomenon, generally related to production or

industry environments. - The mathematical technique for solving LP

problems was developed by George Dantzig in 1947

to solve planning problems in the U.S. Air Force. - Practical applications of LP
- Economicss
- Engineering
- Mathematics
- Agriculture
- Business
- Transport
- Manufacturing

I. Introduction

- Structure of a LP Model
- To analyse a problem using LP, it must be moulded

into a particular structure that at least must

contain the following components - Objective to obtain the best or optimal

solution - Activities or decision variables What to do?
- Constraints or restrictions Limits on the

availability of a resource

II. Solution of a LP problemVerbal description

- Two Mines Company
- The Two Mines Company own two different

facilities that produce an ore which, after being

crushed, is graded into three classes high,

medium and low-grade. The company has contracted

to provide a smelting plant with 12 tons of

high-grade, 8 tons of medium-grade and 24 tons of

low-grade ore per week. The two mines have

different operating characteristics as detailed

below. - Mine Cost per day ()

Production (tons/day) -

High Medium Low - X 180

6 3 4 - Y 160

1 1 6 - How many days per week should each mine be

operated to fulfill the smelting plant contract?

II. Solution of a LP problemSymbolic Formulation

- Variables
- These represent the "decisions that have to be

made" or the "unknowns". - x number of days per week mine X is

operated - y number of days per week mine Y is operated
- Note here that x gt 0 and y gt 0.
- Constraints
- Ore production constraints - balance the amount

produced with the quantity required under the

smelting plant contract - OreHigh 6x y gt 12
- Medium 3x y gt 8
- Low 4x 6y gt 24
- Days per week constraint - we cannot work more

than a certain maximum number of days a week e.g.

for a 5 day week we have - x lt 5

- y lt 5

II. Solution of a LP problemSymbolic Formulation

- Objective
- Again in words our objective is to minimize cost

which is given by - Z 180x 160y
- Hence we have the complete mathematical

representation of the problem as - Minimize Z 180x 160y
- Subject to
- 6x y gt 12
- 3x y gt 8
- 4x 6y gt 24
- x lt 5
- y lt 5
- x,y gt 0

II. Solution of a LP problemSymbolic Formulation

Optimal Solution X 1.71 Y 2.86 Z 765.71

III. Computer Solving of a LP Problem Excel

Solver

III. Computer Solving of a LP Problem Lindo

Solver

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Presentation Removal Request Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Linear Programming" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!