Download presentation

Presentation is loading. Please wait.

Published byMario Cauthorn Modified over 3 years ago

1
Chapter 7 Linear Programming I. Simplex Method Ding-Zhu Du

7
LP examples A post office requires different numbers of full- time employees on different days of the week. The number of full-time employees required on each day is given in the table. Union rules state that each full-time employee must work five consecutive days and then receive two days off. The post office wants to meet its daily requirements using only full-time employees. Formulate an LP that the post office can use to minimize the number of full-time employees that must be hired.

12
Feasible domain Optimal occurs at a vertex!!!

13
Slack Form

14
Whats a vertex?

15
Fundamental Theorem

16
Proof.

17
Proof (conts).

18
Characterization of Vertex

19
Proof

20
Basic Feasible Solution

21
Optimality Condition

22
Sufficiency

23
Nondegeneracy Assumption Remark

24
Necessary

26
(pivoting)

27
Simplex Method

28
Simplex Table

35
Puzzle 1

36
Artificial Feasible Basis

37
Puzzle 2

38
lexicographical ordering

39
Method

40
Method(cont)

42
Theorem

43
Puzzle 3

44
Complexity of LP

45
Thanks, End

Similar presentations

Presentation is loading. Please wait....

OK

ISM 206 Lecture 3 The Simplex Method. Announcements.

ISM 206 Lecture 3 The Simplex Method. Announcements.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on jindal steels Ppt on ebola virus infections Ppt on nokia company profile Export pdf to ppt online convert Download ppt on asexual reproduction in plants Mrna display ppt online Ppt on indian textile industries in mauritius Ppt on demand side management Ppt on javascript events load Ppt on review of literature in research