Mathematical Models Of Target Coverage And Missile Allocation
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Weapon-Target Allocation and Scheduling for Air Defense
Author | : Taner Gulez |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 164 |
Release | : 2011-12 |
Genre | : |
ISBN | : 9783846593806 |
In this book, mathematical modeling and heuristic approaches are developed for surface-to-air weapon-target allocation problem with time varying single shot hit probabilities (SSHP) against linearly approaching threats. First, a nonlinear mathematical model for the problem is formulated to maximize sum of the weighted survival probabilities of assets to be defended. Next, nonlinear objective function and constraints are linearized. Time varying SSHP values are approximated with appropriate closed forms and adapted to the linear model obtained. This model is tested on different scenarios and results are compared with those of the original nonlinear model. It is observed that the linear model is solved much faster than the nonlinear model and produces reasonably good solutions. Addition to these mathematical model approaches, a construction heuristic is developed based on this scheme. An improvement heuristic that uses the solution of the construction heuristic is also proposed. Finally, all methods are tested on forty defense scenarios. Two fastest solution methods are compared on a large scenario and proposed as appropriate solution techniques.
Army Weapon Systems Analysis
Author | : United States. Army Materiel Development and Readiness Command |
Publisher | : |
Total Pages | : 506 |
Release | : 1977 |
Genre | : |
ISBN | : |
A Ballistic Missile Defense Model for Urban Targets
Author | : Kenneth Charles Shumate |
Publisher | : |
Total Pages | : 37 |
Release | : 1971 |
Genre | : |
ISBN | : |
This thesis presents a ballistic missile defense allocation model for the terminal defense of urban targets of varied value. The model allocates interceptors in proportion to the value of targets. Defensive missiles have a probability of interception, offensive re-entry vehicles are perfect, and the offense knows both the defensive allocation and firing doctrine. The area defended by a single interceptor farm is considered to be a point target and can be defended by no other interceptors. For any value of the offensive payoff in expected value per re-entry vehicle, the model determines the least cost minimax allocation and firing doctrine. (Author).
Mathematical Methods in Defense Analyses
Author | : J. S. Przemieniecki |
Publisher | : AIAA |
Total Pages | : 434 |
Release | : 2000 |
Genre | : Military art and science |
ISBN | : 9781600860850 |
Annotation This text presents the various mathematical methods used in military operations research in one easy-to-use reference volume. The reader will find the calculations necessary to analyze all aspects of defense operations, from weapon performance to combat modeling. The text is so clearly written and organized that even newcomers to the field will find it useful. Included with the text is an updated version of Defense Analyses Software, a compendium of software subroutines that allow the reader to compute numerical values for functions or tables derived in the text. Each subroutine is provided with a detailed reference to the equation from which it was derived to ensure that its intended application is consistent with the assumptions used in the derivation. The third edition has a new chapter on theater missile defense based on the concept of layered defense with different strategies of allocating defense interceptors against short- or mid-range ballistic missiles.
Engineering Design Handbook
Author | : United States. Army Materiel Development and Readiness Command |
Publisher | : |
Total Pages | : 506 |
Release | : 1977 |
Genre | : |
ISBN | : |