1. FORCE STRUCTURE ANALYSIS Lockheed Martin Aeronautics Elissa M. Bryan

2. AGENDA  Overview  Analysis of Problem  Description of Model  Analysis and Interpretation  Applications 2

3. OVERVIEW

4. FORCE STRUCTURE ANALYSIS “Which Aircraft, Which Target, with What Weapons?” 4

5. WHY IT MATTERS  $12k - $15k / Sortie (4 th Generation Fighter)  Hostile Combat Zones  Decreased Risk of Aircraft Loss  Decreased Risk of Human Loss 5

6. ANALYSIS OF PROBLEM

7. DATA SETS  Aircraft Type  Tough, Good, Better, Best  Weapon Load-Out  Rocket, Small, Medium, Large  Target Type  Soft, Medium, Hard, Very Hard 7

8. THE CHALLENGE  Comprehensive Model  Can Multiple Objectives Be Integrated?  Are the Results Realistic?  How Does This Affect Run-Time?  Balanced Resource Allocation:  Are Resources Being Ignored?  Are Resources Used to the Best of Their Ability? 8

9. DESCRIPTION OF MODEL

10. MODEL DESCRIPTION  Mixed Integer Program  514 Variables  114 Constraints  Multiple Objective Functions 10

11. CONSTRAINTS  Available Sorties  Expected Kills Per Sortie (EKS)  Available Weapons 11

12. OPTIMIZATION  Minimizing Days in Combat Campaign  Minimizing Deviation from Target Requirements 12

13. ANALYSIS AND INTERPRETATION

14. BINARY CUT  10 Days: Success  5 Days: Failure  8 Days: Success  7 Days Failure  Minimum: 8 Days 14

15. SUCCESS RATE OVER TIME 15

16. EFFICIENCY FRONTIER 16

17. APPLICATION  Acquisition  Combat Analysis / Planning  Force Structure / Size Do Different Decision Makers Value Different Variables? 17

18. WRAPPING UP

19. SUMMARY  Force Structure Analysis  Analysis of Problem  Description of Model  Analysis and Interpretation  Applications 19

20. QUESTIONS? Thank you for your time!