Design Considerations for Lanchester-Type Models of Warfare (LATMW).
Design Considerations for Lanchester-Type Models of Warfare (LATMW).

Author: Herbert-Hans Mauerer

Publisher:

Published: 1976

Total Pages: 135

ISBN-13:

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This thesis discusses design considerations for Lanchester-Type Models of Warfare (LATMW). It establishes a framework for setting minimum design standards for such combat models. The state-of-the-art for models is briefly reviewed and major pitfalls in modelling combat are sketched. Modern combined arms forces are abstracted as coherent systems of complementary and supplementary components. A method is derived to refine Lanchester Attrition-Rate Coefficients (LARC) as system capability measures by additionally considering reliability and availability weightings. Examples are given to demonstrate the implementation of these refined LARC quantifications in LATMW.

Design Considerations for Lanchester-Type Models of Warfare (LATMW).
Design Considerations for Lanchester-Type Models of Warfare (LATMW).

Author:

Publisher:

Published: 1976

Total Pages: 0

ISBN-13:

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This thesis discusses design considerations for Lanchester-Type Models of Warfare (LATMW). It establishes a framework for setting minimum design standards for such combat models. The state-of-the-art for models is briefly reviewed and major pitfalls in modelling combat are sketched. Modern combined arms forces are abstracted as coherent systems of complementary and supplementary components. A method is derived to refine Lanchester Attrition-Rate Coefficients (LARC) as system capability measures by additionally considering reliability and availability weightings. Examples are given to demonstrate the implementation of these refined LARC quantifications in LATMW.

Lanchester Models of Warfare
Lanchester Models of Warfare

Author: James G. Taylor

Publisher:

Published: 1983

Total Pages: 616

ISBN-13:

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This monograph is a comprehensive treatise on Lanchester-type models of warfare, i.e. differential-equation models of attrition in force-on-force combat operations. Its goal is to provide both an introduction to and current- state-of-the-art overview of Lanchester-type models of warfare as well as a comprehensive and unified in-depth treatment of them. Both deterministic as well as stochastic models are considered. Such models have been widely used in the United States and elsewhere for the modelling of force-on-force attrition over the complete spectrum of combat operations, from combat between platoon-sized units through theater-level air-ground combat. This material should be of interest primarily to individuals concerned with defense planning, quantitative aspects of military analysis, military OR, war gaming, or combat modelling, although it may also be of interest to the reader concerned with the modelling and analysis of other dynamic systems. It should also be of interest to the concerned citizen who is interested in the foundations for defense analysis and has the appropriate technical background.

Mathematical Modeling of Warfare and Combat Phenomenon
Mathematical Modeling of Warfare and Combat Phenomenon

Author: Jeffrey Strickland

Publisher: Lulu.com

Published: 2011-08-01

Total Pages: 372

ISBN-13: 1458392554

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The primary goal of this book is to assist the student to develop the skills necessary to effectively employ the ideas of mathematics to solve military problems. At the simplest level I seek to promote an understanding of why mathematics is useful as a language for characterizing the interaction and relationships among quantifiable concepts, or in mathematical terms, variables. The text explores models of terrorism, attrition, search, detection, missile defense, radar, and operational reliability Throughout the text I emphasize the notion of added value and why it is the driving force behind military mathematical modeling. For a given mathematical model to be deemed a success something must be learned that was not obvious without the modeling procedure. Very often added value comes in the form of a prediction. In the absence of added value the modeling procedure becomes an exercise not unrelated to digging a ditch simply to fill it back up again.

Lanchester-Type Models of Warfare
Lanchester-Type Models of Warfare

Author:

Publisher:

Published: 1980

Total Pages: 820

ISBN-13:

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This monograph is a comprehensive treatise on Lanchester-type models of warfare, i.e. differential-equation models of attrition in force-on-force combat operations. Its goal is to provide both an introduction to and current- state-of-the-art overview of Lanchester-type models of warfare as well as a comprehensive and unified in-depth treatment of them. Both deterministic as well as stochastic models are considered. Such models have been widely used in the United States and elsewhere for the modelling of force-on-force attrition over the complete spectrum of combat operations, from combat between platoon-sized units through theater-level air-ground combat. This material should be of interest primarily to individuals concerned with defense planning, quantitative aspects of military analysis, military OR, war gaming, or combat modelling, although it may also be of interest to the reader concerned with the modelling and analysis of other dynamic systems. It should also be of interest to the concerned citizen who is interested in the foundations for defense analysis and has the appropriate technical background.

A Lanchester-Type Model with Logistics Considerations
A Lanchester-Type Model with Logistics Considerations

Author: Malcolm Withington Chase

Publisher:

Published: 1973

Total Pages: 53

ISBN-13:

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A Lanchester-Type model of combat with logistics considerations is presented. The combat effectiveness of each force is related to its supply. Four basic groups of force supplies are considered: food (all goods used whether or not combat is in progress); ammo (goods used only in combat activity); fuel (goods required for mobility); and capital goods, which are used to increase or replace the capacity of the logistics pipeline. Lanchester attrition-rate coefficients are considered to be functions of the level of food and ammo supplies. In the model, each opponent has a main battle force, a reserve force, a logistics pipeline defense force, and a force which may attack the other side's logistic pipeline. Differential equations for the combat dynamics are derived, and some possible objectives and battle termination conditions are suggested. (Modified author abstract).