Air defense missile-target allocation models for a naval task group

Computers and Operations Research

Volumn 35, Issue 6, 2008, Pages 1759-1770

  Karasakal, Orhan ^a  

^a Operations Research Division   (Turkey)

Author keywords

Air defense; Integer linear programming; Military operations research; Weapon target allocation

Indexed keywords

COMPUTATION THEORY; LINEAR PROGRAMMING; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING;

AIR DEFENSE; INTEGER LINEAR PROGRAMMING; MILITARY OPERATIONS RESEARCH; WEAPON TARGET ALLOCATION;

MILITARY OPERATIONS;

EID: 35448988913     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2006.09.011     Document Type: Article

References (39)

1. Carus WS. Cruise missile proliferation in the 1990s. The Washington Papers/159, Westport, CT: Praeger Publishers; p. 101, 1992.
2. Matlin S. A review of the literature on the missile-allocation problem. Operations Research 18 2 (1970) 334-373
3. Eckler A.R., and Burr S.A. Mathematical models of target coverage and missile allocation (1972), Military Operations Research Society, Alexandria, VA
4. Bracken J., and Brooks P.S. Attack and defense of ICBMs deceptively based in a number of identical areas. Naval Research Logistics Quarterly 33 (1985) 193-207
5. Burr S.A., Falk J.E., and Karr A.F. Integer prim-read solutions to a class of target defense problems. Operations Research 33 4 (1985) 726-745
6. Shumate K.S., and Howard G.T. A proportional defense. Naval Research Logistics Quarterly 21 1 (1974) 69-78
7. Soland R.M. Optimal terminal defense tactics when several sequential engagements are possible. Operations Research 35 4 (1987) 537-542
8. Bertsekas D.P., Homer M.L., Logan D.A., Patek S.D., and Sandell N.S. Missile defense and intercept allocation by neuro-dynamic programming. IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans 30 1 (2000) 42-51
9. Wacholder E. A neural network-based optimization algorithm for the static weapon-target assignment problem. ORSA Journal on Computing 1 4 (1989) 232-246
10. Jaiswal N.K. Military operations research: quantitative decision making (1997), Kluwer Academic Publishers, Norwell, MA p. 169-208
11. Ahuja RK, Kumar A, Jha K, Orlin JB. Exact and heuristic methods for the weapon target assignment problem. Working Paper 4464-03, MIT Sloan School of Management, 2003.
12. Randolph P.H., and Swinson G.E. The discrete min-max problem. Naval Research Logistics Quarterly 6 3 (1969) 309-314
13. Soland R.M. Optimal defensive missile allocation: a discrete min-max problem. Operations Research 21 (1973) 590-596
14. O'Meara NT. Optimal strategies for problems of simultaneous attack against an area defense, PhD dissertation, George Washington University, 1988.
15. O'Meara N.T., and Soland R.M. Optimal attack against an area defense protecting many targets. INFOR 28 1 (1990) 40-52
16. O'Meara N.T., and Soland R.M. Optimal strategies for problems of simultaneous attack against an area defense without impact point prediction. Naval Research Logistics 38 (1991) 289-302
17. O'Meara N.T., and Soland R.M. Optimal strategies for problems of simultaneous attack against an area defense with impact point prediction. Naval Research Logistics 39 (1992) 1-28
18. Bracken J., Brooks P.S., and Falk J.E. Robust preallocated preferential defense. Naval Research Logistics 34 (1987) 1-22
19. Bracken J., Falk J.E., and Tai A.J.A. Robustness of preallocated preferential defense with assumed attack size and perfect attacking and defending weapons. Naval Research Logistics 34 (1987) 23-41
20. Soland R.M. Minimum-cost mixtures of area and point defenses assuming simultaneous attack. Naval Research Logistics 34 (1987) 337-363
21. Nguyen B.U., Smith P.A., and Nguyen D. An engagement model to optimize defense against a multiple attack assuming perfect kill assessment. Naval Research Logistics 44 7 (1997) 687-697
22. Nguyen BU, Reding DF. Optimal engagement model in the presence of incomplete damage assessment with applications. CORA Research Note 9702, 1 CAD/CANR HQs, Winnipeg, Canada, 1997.
23. Nguyen BU, Reding DF. An analytical optimal multi-layer engagement model with incomplete damage assessment. CORA Research Note 9814, 1 CAD/CANR HQs, Winnipeg, Canada, 1998.
24. Nguyen BU, Dixson ME, Dickson R. Description of a ballistic missile defense model assuming ooda cycles. CORA Research Note 9905, 1 CAD/CANR HQs, Winnipeg, Canada, 1999.
25. Nunn W.R., Glass D.V., Hsu I.-C., and Perin D.A. Analysis of a layered defense model. Operations Research 30 3 (1982) 595-599
26. Orlin D. Optimal weapon allocation against layered defenses. Naval Research Logistics 34 (1987) 605-617
27. Al-Mutairi D.K., Al-Khamis T.M., and Abdel-Hamed M.S. A Bayesian analysis of layered defense systems. Journal of Applied Probability 34 (1997) 449-457
28. Karasakal O. A literature review of operational research methods for modeling the air defence problem. DOR(MLA) Research Note RN-2001/02. Ottawa, ON: Department of National Defence; 2001.
29. Martin P.F.M., Dongen V., and Kos J. The analysis of ship air defence: the simulation model SEAROADS. Naval Research Logistics 42 2 (1995) 291-309
30. Bloemen A.F., and Witberg R.R. Anti-air warfare research for naval forces. Naval Forces 21 5 (2000) 20-23
31. Smith PA, The L, Nguyen BU. The joint anti-ship missile intercept evaluation (JASMINE) model: model description. ORA Project Research Report No.9521, Ottawa, Canada: Department of National Defence; 1995.
32. Chapman SJ. Ship air defence model user's guide-single ship version. British Aerospace Australia Ltd., AD-51-001, 1999.
33. Ormrod MK, Carleton GJ, Ship area air defence simulation: programmer's guide. PRIOR Data Sciences Ltd., Ref. No. 1991-03-28, Kanata, ON, Canada, 1991.
34. Nguyen BU. A model of cohesion for air defence. DOR(CAM) Research Note RN9601, Ottawa, Canada: Department of National Defence; 1996.
35. Griffiths J.D., Marshall S.A., Weale T.G., and Williams J.E. A simple stochastic model of air-naval combat. Journal of Operational Research Society 42 4 (1991) 289-300
36. Beare G.C. Linear programming in air defense modelling. Journal of Operational Research Society 38 10 (1987) 899-905
37. Lloyd SP, Witsenhausen HS. Weapons allocation is NP-complete. In: Proceedings of the 1986 summer computer simulation conference, 1986. p. 1054-8.
38. Kwon O., Kang D., Lee K., and Park S. Lagrangean relaxation approach to the targeting problem. Naval Research Logistics 46 4 (1999) 640-653
39. Brooke A., Kendrick D., and Meeraus A. GAMS a user's guide (1988), The Scientific Press, Redwood City, CA