GupShup Study
 
  
OPERATIONS RESEARCH by Y. Ilker Topcu LECTURE NOTES and eBook download
Neeraj Yadav

OPERATIONS RESEARCH by Y. Ilker Topcu LECTURE NOTES and eBook download

Neeraj Yadav | 26-Apr-2016 |
INTRODUCTION TO OR , BASIC OR CONCEPTS , LINEAR PROGRAMMING , Transportation Problems , INTEGER PROGRAMMING ,

Hi friends, here Neeraj Yadav uploaded notes for OPERATION RESEARCH with title OPERATIONS RESEARCH by Y. Ilker Topcu LECTURE NOTES and eBook download. You can download this lecture notes, ebook by clicking on the below file name or icon.

CONTENTS
1. INTRODUCTION TO OR..................................................................................... 1
1.1 TERMINOLOGY ...................................................................................................... 1
1.2 THE METHODOLOGY OF OR ............................................................................. 1
1.3 HISTORY OF OR .................................................................................................... 2
2. BASIC OR CONCEPTS...................................................................................... 6
3. LINEAR PROGRAMMING................................................................................ 11
3.1 FORMULATING LP............................................................................................... 13
3.1.1 Giapetto Example .......................................................................................... 13
3.1.2 Advertisement Example................................................................................ 15
3.1.3 Diet Example .................................................................................................. 16
3.1.4 Post Office Example...................................................................................... 17
3.1.5 Sailco Example .............................................................................................. 18
3.1.6 Customer Service Level Example............................................................... 19
3.2 SOLVING LP.......................................................................................................... 20
3.2.1 LP Solutions: Four Cases............................................................................. 20
3.2.2 The Graphical Solution (Minimization) ....................................................... 21
3.2.3 The Graphical Solution (Maximization) ...................................................... 22
3.2.4 The Simplex Algorithm.................................................................................. 23
3.2.5 Example illustrating Simplex (Dakota Furniture) ...................................... 24
3.2.6 Other Solution Cases by Simplex ............................................................... 29
3.2.7 The Big M Method ......................................................................................... 31
3.2.8 Example illustrating Big M (Oranj Juice).................................................... 32
3.3 SENSITIVITY ANALYSIS..................................................................................... 35
3.3.1 Reduced Cost................................................................................................. 35
3.3.2 Shadow Price ................................................................................................. 35
3.3.3 Simple Example ............................................................................................. 36
3.3.4 Utilizing Lindo Output for Sensitivity........................................................... 37
3.3.5 Additional Example (Utilizing Simplex for Sensitivity).............................. 39
3.4 DUALITY................................................................................................................. 42
3.4.1 The Dual Theorem......................................................................................... 42
3.4.2 Finding the Dual of a Normal Max Problem .............................................. 42
3.4.3 Finding the Dual of a Normal Min Problem ............................................... 43
www.gupshupstudy.com
3.4.4 Finding the Dual of a Nonnormal Max Problem........................................ 43
3.4.5 Finding the Dual of a Nonnormal Min Problem......................................... 43
3.4.6 An Example for Economic Interpretation (Dakota Furniture).................. 44
4. TRANSPORTATION PROBLEMS.................................................................... 45
4.1 FORMULATING TRANSPORTATION PROBLEMS ....................................... 46
4.1.1 LP Representation......................................................................................... 46
4.1.2 Powerco Example for Balanced Transportation Problem ....................... 46
4.1.3 Balancing an Unbalanced Transportation Problem ................................. 47
4.1.4 Modified Powerco Example for Excess Supply ........................................ 48
4.1.5 Modified Powerco Example for Unmet Demand....................................... 49
4.2 FINDING BFS FOR TRANSPORT’N PROBLEMS.......................................... 50
4.2.1 Northwest Corner Method ............................................................................ 51
4.2.2 Minimum Cost Method.................................................................................. 53
4.2.3 Vogel’s Method .............................................................................................. 55
4.3 THE TRANSPORTATION SIMPLEX METHOD............................................... 57
4.3.1 Steps of the Method ...................................................................................... 57
4.3.2 Solving Powerco Example by Transportation Simplex............................ 58
4.4 TRANSSHIPMENT PROBLEMS ........................................................................ 61
4.4.1 Steps................................................................................................................ 61
4.4.2 Kuruoglu Example ......................................................................................... 62
4.5 ASSIGNMENT PROBLEMS................................................................................ 64
4.5.1 LP Representation......................................................................................... 64
4.5.2 Hungarian Method......................................................................................... 64
4.5.3 Flight Crew Example..................................................................................... 66
5. INTEGER PROGRAMMING ............................................................................. 68
5.1 FORMULATING IP................................................................................................ 69
5.1.1 Budgeting Problems...................................................................................... 69
5.1.2 Knapsack Problems ...................................................................................... 72
5.1.3 Fixed Charge Problems................................................................................ 73
5.1.4 Set Covering Problems................................................................................. 78
5.1.5 Either - Or Constraints .................................................................................. 80
5.1.6 If - Then Constraints...................................................................................... 81
5.1.7 Traveling Salesperson Problems ................................................................ 82

 

Download free OPERATIONS RESEARCH LECTURE NOTES and eBook by Y. İlker Topcu

    Attachment Lists

    If download doesn't start in application like IDM then press Alt + click on download button to start download
  • Operations-Research.pdf (Size: 3252.04KB) Dowland
Share With Friends :  

No any Comment yet!