A mathematical programming approach for improving the robustness of least sum of absolute deviations regression

This paper discusses a novel application of mathematical programming techniques to a regression problem. While least squares regression techniques have been used for a long time, it is known that their robustness properties are not desirable. Specifically, the estimators are known to be too sensitive to data contamination. In this paper we examine regressions based on Least‐sum of Absolute Deviations (LAD) and show that the robustness of the estimator can be improved significantly through a judicious choice of weights. The problem of finding optimum weights is formulated as a nonlinear mixed integer program, which is too difficult to solve exactly in general. We demonstrate that our problem is equivalent to a mathematical program with a single functional constraint resembling the knapsack problem and then solve it for a special case. We then generalize this solution to general regression designs. Furthermore, we provide an efficient algorithm to solve the general nonlinear, mixed integer programming problem when the number of predictors is small. We show the efficacy of the weighted LAD estimator using numerical examples. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

Planning accelerated life tests for censored two‐parameter exponential distributions

We consider optimal test plans involving life distributions with failure‐free life, i.e., where there is an unknown threshold parameter below which no failure will occur. These distributions do not satisfy the regularity conditions and thus the usual approach of using the Fisher information matrix to obtain an optimal accelerated life testing (ALT) plan cannot be applied. In this paper, we assume that lifetime follows a two‐parameter exponential distribution and the stress‐life relationship is given by the inverse power law model. Near‐optimal test plans for constant‐stress ALT under both failure‐censoring and time‐censoring are obtained. We first obtain unbiased estimates for the parameters and give the approximate variance of these estimates for both failure‐censored and time‐censored data. Using these results, the variance for the approximate unbiased estimate of a percentile at a design stress is computed and then minimized to produce the near‐optimal plan. Finally, a numerical example is presented together with simulation results to study the accuracy of the approximate variance given by the proposed plan and show that it outperforms the equal‐allocation plan. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 169–186, 1999     

Bicriteria product design optimization: An efficient solution procedure using AND/OR trees

Competitive imperatives are causing manufacturing firms to consider multiple criteria when designing products. However, current methods to deal with multiple criteria in product design are ad hoc in nature. In this paper we present a systematic procedure to efficiently solve bicriteria product design optimization problems. We first present a modeling framework, the AND/OR tree, which permits a simplified representation of product design optimization problems. We then show how product design optimization problems on AND/OR trees can be framed as network design problems on a special graph—a directed series‐parallel graph. We develop an enumerative solution algorithm for the bicriteria problem that requires as a subroutine the solution of the parametric shortest path problem. Although this parametric problem is hard on general graphs, we show that it is polynomially solvable on the series‐parallel graph. As a result we develop an efficient solution algorithm for the product design optimization problem that does not require the use of complex and expensive linear/integer programming solvers. As a byproduct of the solution algorithm, sensitivity analysis for product design optimization is also efficiently performed under this framework. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 574–592, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10031     

EXPORT CONTROLS AND INTERNATIONAL SAFEGUARDS

Export controls and international safeguards are central to ensuring international confidence in the peaceful uses of nuclear materials and technologies and to achieving adequate oversight on the transfer and use of nuclear materials, technology, and equipment required for the development of proliferation-sensitive parts of the nuclear fuel cycle. Although the independent strengths of export controls and international safeguards rely largely on universal adherence, there may be opportunities to exploit the shared strengths of these systems. This article provides background information on the separate evolution of export controls and international safeguards, considers how these two elements of the nonproliferation regime interact, and identifies some possible avenues that could, over time, lead to wholly integrated activities.     

THE HEALTH OF THE NUCLEAR NONPROLIFERATION REGIME

How do we assess the health of international regimes? Many analysts have insisted recently that the nuclear nonproliferation regime is in urgent need of repair or that it should even be discarded because of its supposed ineffectiveness. However, it is essential that statements about the regime being in crisis be scrutinized for veracity and utility. While the spread of nuclear weapons poses an undeniable and serious threat to international security, a mistaken crisis mentality with respect to the regime could lead to rash attempts to alter it in unnecessary or ineffective ways or, at worst, to discard it completely. This paper returns to a theoretical framework that differentiates regimes, across both issue areas and time, to provide a more specified evaluation of regime health. By disaggregating the nuclear nonproliferation regime and assessing the individual and interactive health of multiple dimensions, a number of dimension-specific, regime-strengthening policy recommendations emerge.     

PROTECTING CULTURAL MONUMENTS AGAINST TERRORISM

Famous cultural monuments are often regarded as unique icons, making them an attractive target for terrorists. Despite huge military and police outlays, terrorist attacks on important monuments can hardly be avoided. We argue that an effective strategy to discourage terrorist attacks on iconic monuments is for a government to show a firm commitment to swift reconstruction. Using a simple game‐theoretic model, we demonstrate how a credible claim to rebuild any destroyed cultural monument discourages terrorist attacks by altering the terrorists' expectations and by increasing the government's reputation costs if they fail to rebuild.     

How should modeling and simulation be used to support defense acquisition?

This paper investigates the potential for modeling and simulation to contribute to new defense system development, by increasing the productivity of traditional R&D in developing system‐specific technology. Building on a previous optimal control model of defense system R&D, it shows that (1) the optimal use of modeling is related in a natural way to that of traditional R&D, and (2) both have similar optimal profiles over time. Simulated results based on limited historical data suggest that optimal use of modeling could increase the rate of growth in system‐specific technology significantly.     

Uncharted Waters: Information in the First Modern Joint Campaign – Norway 1940

The 1940 Norway campaign was the first truly modern joint operation in which ground, sea and air forces all played major roles. With three services involved over a huge theater of war, the normal friction in obtaining and disseminating intelligence and information that one finds in a joint operation was multiplied. As the two sides were fairly evenly matched, effective use of intelligence and information provided a decisive advantage. This paper analyzes the use of information and intelligence of both sides at the strategic, operational and tactical levels. Both sides performed poorly at the strategic level but the Germans proved far superior to the British at the operational and tactical levels. The paper challenges several common assumptions on the importance of intelligence and information in joint campaigns.