Optimization of Combat Dynamics

This report outlines research accomplishments for a two-year project studying the optimization of combat dynamics. Results were obtained for two basic topics: (1) obtaining insights into the dynamics of combat by mathematically analyzing relatively simple Lanchester-type models, and (2) investigating the structure of optimal time-sequential tactical decisions with such simple differntial-equation models. However, research efforts were primarily concentrated on the first topic, and new research directions were established (e.g. ground-breaking work on simple-approximate battle-outcome-prediction conditions). A complete list of publications originating from the project is given.R&D PROJECT NO. 1L161102BH57-05 MAT

DEATH (MACHINES) AND TAXES

In the defense policy literature, it is widely believed that there is a pronounced bias towards the procurement of a less than optimal number of excessively sophisticated weapons. In this paper, we consider the possibility that this perceived bias is the result of the timing and informational structure of defense procurement decisions, and the inter-relationship of this structure with overall fiscal policy. Specifically, this paper presents a model that suggests that tax smoothing considerations of the type first articulated in Barro (1979) could lead social welfare maximizing decision makers to choose a higher level of weapon quality than would be optimal if government revenue could be raised without resort to distortionary taxation.Defense procurement, Weapon quality, Tax smoothing, Public Economics, H57,

Lanchester-Type Models of Warfare, Volume I

The Twentieth Century has been characterized by innumerable attempts to use the Scientific Method as a basis for policy planning in national and international affairs. The emergence of the field of operations research (OR) out of attempts of scientists in the Western Democracies to apply the Scientific Method to military problems during World War II is well known. Since World War II there has been a dramatic growth in both the interest in and use of OR and systems-analysis techniques for such purposes within the U.S. defense establish- ment, especially since the beginning of the so-called McNamara Era of defense planning. A concomitant trend has been an equally dramatic increase in both the number and variety of mathematical models used to support these analytical activities

A Methodological Framework for Parametric Combat Analysis

This work presents a taxonomic structure for understanding the tension between certain factors of stability for game-theoretic outcomes such as Nash optimality, Pareto optimality, and balance optimality and then applies such game-theoretic concepts to the advancement of strategic thought on spacepower. This work successfully adapts and applies combat modeling theory to the evaluation of cislunar space conflict. This work provides evidence that the reliability characteristics of small spacecraft share similarities to the reliability characteristics of large spacecraft. Using these novel foundational concepts, this dissertation develops and presents a parametric methodological framework capable of analyzing the efficacy of heterogeneous force compositions in the context of space warfare. This framework is shown to be capable of predicting a stochastic distribution of numerical outcomes associated with various modes of conflict and parameter values. Furthermore, this work demonstrates a general alignment in results between the game-theoretic concepts of the framework and Media Interaction Warfare Theory in terms of evaluating force efficacy, providing strong evidence for the validity of the methodological framework presented in this dissertation

Modeling and Analysis of Resolve and Morale for the `Long War\u27

In The Art of War, Sun Tzu begins by stating: War is a matter of vital importance to the State; the province of life or death; the road to survival or ruin. It is mandatory that it be thoroughly studied. Sun Tzu follow\u27s this opening by stating five fundamental factors a commander must master to be successful in combat. The first of these factors is moral influence which Sun Tzu defines as that which causes the people to be in harmony with their leaders, so they will accompany them in life and death without fear of mortal peril. In the face of the instant communication provided by satellites, 24 hour news media coverage, and other technological advances, this factor is even more relevant today. This research provides an analytic framework, based on the principles of fourth generation operations, capturing the effects of will and resolve of the combatant and population. The strategic level model investigates the long term impacts of asymmetric conflict. These results are primarily measured in the socio-political arena rather than the military battlefield. The model developed in this dissertation remains a model of conflict and combat. However, some of the impacts from the political, economic, and informational instruments of power are represented in the model through the dynamic adaptation of public resolve and combat spirit. To paraphrase Sun Tzu, war is vitally important and must be studied. Therefore, this dissertation puts forth a means to model key aspects of conflict in the `long war\u27

Breaking the Dynamics of Emotions and Fear in Conflict and Reconstruction

This paper is all about the construction of a new analytical framework to understand conflict and cooperation both at the international and at the domestic level with the aim of then finding mechanisms to reduce tensions and initiate conflict resolution schemes. The existing research literature on such analytical frameworks has so far been conducted a) mostly on standard social science disciplinary lines and has not incorporated the important work done on these questions by neuro-scientists and behavioral geneticists and b) is not really capable except in very specific instances to deal with the evolving dynamics of conflict and cooperation. Conflict over scarce resources (territory, mates, food) between members of the same species is a universal feature of evolution. Often conflict, especially armed conflict is supposed to be due to shows of force by two or more parties in order to appropriate or dominate resources. Force appears thus not to be the only decisive factor; perceived entitlement and powerful feelings of injustice thereby generated in the case of challenge, extended to group identity are also at the basis of conflict and aggression in humans. The relationship between environment and conflict, the role of emotions such as fear, and the absence of clear definition and enforcement of property rights within societies are also factors in the development of conflict. Thus we have here developed an analytically based numerical model that aims to include finding on these topics by Neuroscience and to emphasize the role of emotions in conflict and cooperation dynamics. This model has been simulated without specific reference to a particular country with the result that economic conditions drive our system since in one case sustained growth produces stability and end of combats whereas deteriorating capital growth and GDP collapse lead to increased hostile coalition participation and more fighting. However, the mere trigger of economic conditions is insufficient to explain conflict escalation, which results from increased participation in mutually hostile coalitions and greater fighting propensity where emotions such as fear and resentment play their role. Finally a detailed empirical analysis of the current Syrian conflict has been undertaken which shows the ability of the model to forecast actual historical developments. This study also indicates that worsening economic conditions are not the only triggering factors in civil conflict. Perceptions of opportunities due to a weakening of a regime's authority also play a major rol

Critical Infrastructure Protection Metrics and Tools Papers and Presentations

Contents: Dr. Hilda Blanco: Prioritizing Assets in Critical Infrastructure Systems; Christine Poptanich: Strategic Risk Analysis; Geoffrey S. French/Jin Kim: Threat-Based Approach to Risk Case Study: Strategic Homeland Infrastructure Risk Assessment (SHIRA); William L. McGill: Techniques for Adversary Threat Probability Assessment; Michael R. Powers: The Mathematics of Terrorism Risk Stefan Pickl: SOA Approach to the IT-based Protection of CIP; Richard John: Probabilistic Project Management for a Terrorist Planning a Dirty Bomb Attack on a Major US Port; LCDR Brady Downs: Maritime Security Risk Analysis Model (MSRAM); Chel Stromgren: Terrorism Risk Assessment and Management (TRAM); Steve Lieberman: Convergence of CIP and COOP in Banking and Finance; Harry Mayer: Assessing the Healthcare and Public Health Sector with Model Based Risk Analysis; Robert Powell: How Much and On What? Defending and Deterring Strategic Attackers; Ted G. Lewis: Why Do Networks Cascade

Understanding the Instruments of National Power through a System of Differential Equations in a Counterinsurgency

Models that account for the progression of nation-building and the impacts of the instruments of national power -- Diplomacy, Informational, Military, and Economic effects -- are rare. This research proposes the development of such a model. Through the derivation of state indices for the operational variables of Political, Military, Economic, Social, Infrastructure, and Information, a functional form of a system of differential equations is developed to account for the interactions between the state indices and instruments of national power. This methodology is a mean-field inverse problem which solves for the coefficients of the differential equations in a data-driven manner. Publicly available data are used to develop the indices and describe the instruments of national power. Applying mean-field theory allows the differential equations to be solved through a nonlinear program that derives minimum error-producing coefficients. An application of the model is derived for Operation Iraqi Freedom to demonstrate the utility as well as the effects of various alternate strategies, using the dynamics captured in the model. This modeling approach offers a potentially significant capability for analyzing and planning future Stabilization, Security, Transition, and Reconstruction Operations (STTRO)

Monk business: an example of the dynamics of organizations.

In this paper we present a dynamic model of an organization. It is shown that the quality of the members of the organization may cycle and that even if the organization promotes excellency, the organization may end up populated by mediocre agents only.Overlapping generations; Quanty organization;

Command-and-control (C2) theory : a challenge to control science

by Michael Athans