When is model complexity too much? Illustrating the benefits of simple models with Hughes' salvo equations

The simulations that many defense analysts rely upon in their studies continue to grow in size and complexity. This paper contrasts the guidance that the authors have received—from some of the giants of military operations research—with the current practice. In particular, the analytic utility of Hughes' simple salvo equations is compared with that of the complex Joint Warfighting System (JWARS), with respect to JWARS' key performance parameters. The comparison suggests that a family of analytic tools supports the best analyses. It follows that smaller, more agile, and transparent models, such as Hughes' salvo equations, are underutilized in defense analyses. We believe that these models should receive more attention, use, and funding. To illustrate this point, this paper uses two very simple models (by modern standards) to rapidly generate insights on the value of information relative to force strength. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

A note on the limitations of goal programming as observed in resource allocation for marine environmental protection

After first formulating the problem of the Marine Environmental Protection program of the Coast Guard as a multiple-objective linear program, we investigate the applicability and limitations of goal programming. We point out how the preemptive goal-programming approach is incompatible with utility preferences. Then we observe the tendency of optimal solutions for standard linear goal programs to occur at extreme points. We also note problems of more general approaches, such as dealing with additively separable approximations to preferences.     

Reviews

A. Hamish Ion and E.J. Errington (eds.), Great Powers and Little Wars: the Limits of Power. Westport, CT: Praeger, 1993. Pp.246, select biblio, index. $49.95. ISBN 0275–93965–0

John M. Rothgeb, Jr., Defining Power: Influence and Force in the Contemporary International System. New York: St. Martin's Press, 1993. Pp.205. $39.95 (hbk); $18.70 (pbk). ISBN 0312–086–822 and 061–056

Brian L. Job (ed.), The Insecurity Dilemma: National Security in Third World States. Boulder, CO: Lynne Rienner Publishers, 1992, Pp.257. $37. ISBN 1–55587–267–0

Edwin G. Corr and Stephen Sloan (eds.), Low‐Intensity Conflict: Old Threats in a New World. Westview Studies in Regional Security, Boulder, CO: Westview, 1992. Pp.310, maps, figures, index. $55 (hbk); $18.85 (pbk). ISBN 0–8133–8593–8 and 8594–6     

INTERNATIONAL SECURITY ON THE ROAD TO NUCLEAR ZERO

The disappointingly slow pace of progress on efforts to prevent proliferation, reduce nuclear weapons, and eliminate nuclear risks has many causes. The factor that might be easiest for individuals in the arms control and nonproliferation community to change stems from their own ambivalence about major questions that must be addressed on the road to reducing the number of nuclear weapons in the world to zero. This essay explores how ambivalence about four key issues—strategic stability, alliance relations, institution-building, and nuclear energy—often leads community members to take positions that play well at home and within their like-minded group but raise unintended impediments to achieving their own long-term goals. The author suggests alternative ways to handle these questions to improve the prospects for domestic and international agreement on practical measures that would eliminate, not perpetuate, nuclear risks.     

歼击机空战占位的模糊神经网络方法

在歼击机空战中 ,首先占据有利的攻击位置 ,是夺取空战胜利的重要保证 ,不论是近距离格斗 ,还是超视距空战均如此。在未来 2 1世纪信息战环境下的空战 ,为了减轻飞机员的负担 ,必须根据战场态势 ,利用智能化方法 ,为飞行员提供正确操纵飞机达到有利攻击位置的辅助决策指示。本文研究了先敌占位的模糊神经网络方法 ,仿真证明这种方法是有效的     

Combat modeling of remotely targeted vehicles and a battery against a moving target

This paper considers a combined system composed of multiple stand-by remotely piloted vehicles (RPVs) and a single battery against a single passive enemy target, where the target, if not killed, is allowed to change its location after each attack. The RPV has the duty to report on target acquisition, to confirm a target kill, and to pass information on any change in target location after each battery attack. The battery has the duty to attack the target on the basis of the target location information provided to it by the RPV. We develop a closed-form expression for the time-dependent state probabilities of the system, which can be used to compute several important combat measures of effectiveness, including (a) the time-varying mean and variance of the number of the RPVs being alive and of the surviving enemy target, (b) the mission success, mission failure, and combat draw probabilities, and (c) the mean and variance of the combat duration time. Illustrative numerical examples are solved for these combat measures, and sensitivity analyses are performed with respect to target acquisition time and target kill probability. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 645–667, 1998     

Adaptive competitive decision in repeated play of a matrix game with uncertain entries

This study is concerned with a game model involving repeated play of a matrix game with unknown entries; it is a two-person, zero-sum, infinite game of perfect recall. The entries of the matrix ((pij)) are selected according to a joint probability distribution known by both players and this unknown matrix is played repeatedly. If the pure strategy pair (i, j) is employed on day k, k = 1, 2, …, the maximizing player receives a discounted income of β^{k - 1} X_ij, where β is a constant, 0 ≤ β ? 1, and X_ij assumes the value one with probability p_ij or the value zero with probability 1 - p_ij. After each trial, the players are informed of the triple (i, j, X_ij) and retain this knowledge. The payoff to the maximizing player is the expected total discounted income. It is shown that a solution exists, the value being characterized as the unique solution of a functional equation and optimal strategies consisting of locally optimal play in an auxiliary matrix determined by the past history. A definition of an ?-learning strategy pair is formulated and a theorem obtained exhibiting ?-optimal strategies which are ?-learning. The asymptotic behavior of the value is obtained as the discount tends to one.     

目标自动跟踪与信息处理综合系统的研究与实现

根据将目标自动跟踪与信息处理综合的思想,在目标自动跟踪与信息处理综合的实现方面作了大量工作,并进行了实验.实验结果表明,只有在自动跟踪系统中综合目标信息处理,火控系统性能才能有质的提高.同时,数字信号处理(DSP)技术、自适应滤波算法的应用,使得系统设计能够基本达到实际应用的阶段.