×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## OPERATIONS RESEARCH 1

by: Ms. Dorian Wiegand

18

0

2

# OPERATIONS RESEARCH 1 ESI 4312

Ms. Dorian Wiegand
UF
GPA 3.66

Staff

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Industrial Engineering

This 2 page Class Notes was uploaded by Ms. Dorian Wiegand on Friday September 18, 2015. The Class Notes belongs to ESI 4312 at University of Florida taught by Staff in Fall. Since its upload, it has received 18 views. For similar materials see /class/206806/esi-4312-university-of-florida in Industrial Engineering at University of Florida.

×

## Reviews for OPERATIONS RESEARCH 1

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/18/15
Finding a dual to a general linear program Primal or Dual Dual or Primal unrestricted max min Constraints Variables non negative 2 non positive unrestricted Variables non negative Constraints non positive H M l Tableau Formulas max or min 2 c stAz b m 2 0 Tm B submatrix of A Whose columns correspond to basic variables N submatrix of A Whose columns correspond to non basic variables CB entries of 0 corresponding to basic variables 0N entries of 0 corresponding to non basic variables m m by m identity matrix 0 4c ich lN CgBilb Tableau The tableau is optimal for a maximization problem if 7 problem if 40 7 ch lN 0 Assumes we have an LP and an optimal basis We then make a change to a parameter of the LP and wish to investigate if the current basis remains optimal We now outline the types of B lN T Sensitivity Analysis CN CB B lb B lN 2 0 and for a minimization changes and the resulting effect on the tableau of the optimal basis 1 Change Objective function coefficient of a non basic variable j E ect in the tableau reduced cost of the variable j 2 Change Objective function coefficient of a basic variable j nonbasic variables 3 Change Right hand side of constraint 2 E ect The values on the right hand side of the tableau7 ie7 the values of the basic variables E ect reduced cost of all 4 Change The column7 Aj of a non basic variable j E ect The reduced cost of variable j and the column in the tableau corresponding to variable j 01 Change Adding in a new activityvariable E ect We must add in a column in the tableau for the new variable and see if it is eligible for entry into the basis a Change Adding in a new constraint E ect If the current solution satis es the constraint7 then it remains optimal Otherwise7 we take the current basis plus the slackexcess variable of the new constraint as the starting basis to the new problem If the current basis is no longer optimal to our new problem7 then we will apply the primal simplex method for changes 17 27 4 and 5 and the dual simplex method for changes 3 and 6 Def The shadow price of constraint i is the amount the optimal objective function value improves if we increase bl by 17 assuming the current basis remains optimal Def The 100 rule states that if we set where Aj is the change in 07 A1 is the maximum allowable increase in 0739 and AD is the maximum allowable decrease inc 0739 A 7777 ifAjZO 739 77 A luglt0 Di then if 21 rj 17 then the current basis remains optimal to the new linear program

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

Bentley McCaw University of Florida

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com