Technical note – operational statistics: Properties and the risk‐averse case

Consider a repeated newsvendor problem for managing the inventory of perishable products. When the parameter of the demand distribution is unknown, it has been shown that the traditional separated estimation and optimization (SEO) approach could lead to suboptimality. To address this issue, an integrated approach called operational statistics (OS) was developed by Chu et al., Oper Res Lett 36 (2008) 110–116. In this note, we first study the properties of this approach and compare its performance with that of the traditional SEO approach. It is shown that OS is consistent and superior to SEO. The benefit of using OS is larger when the demand variability is higher. We then generalize OS to the risk‐averse case under the conditional value‐at‐risk (CVaR) criterion. To model risk from both demand sampling and future demand uncertainty, we introduce a new criterion, called the total CVaR, and find the optimal OS under this new criterion. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 206–214, 2015     

Cinematic representations of the Mexican Narco War

This essay provides an overview of the eras of Mexican cinema followed by an analysis of 10 Spanish-language narco cinematic representations, an overview of the eras of American cinema followed by an analysis of 10 English language narco cinematic representations, and a conclusion that compares and contrasts the Mexican and US narco war cinematic experience. Due to divergent national trajectories – Mexico is engulfed in narco violence and corruption while the United States is not – more differences than similarities exist between these national cinematic genres. Dark spirituality themes are also increasingly evident in more recent narco war films.     

Pakistan's Evolving Nuclear Weapon Posture

This essay provides an overview of the ongoing quantitative and qualitative changes in Pakistan's nuclear arsenal and their impact on deterrence stability vis-à-vis India. Prominent among these trends is a major expansion in fissile material production that enables the manufacture of lighter and more compact warheads optimized for battlefield missions; the development of cruise missiles and shorter-range ballistic missiles possessing dual-use capabilities; and a greater emphasis in doctrinal pronouncements on the need for strike options geared to all levels of conflict. Although these trends pose problematic ramifications for the risks of unauthorized and inadvertent escalation, deterrence stability in South Asia is not as precarious as many observers fear. The challenges of fashioning a robust nuclear peace between India and Pakistan cannot be lightly dismissed, however, and policy makers would do well to undertake some reinforcing measures.     

The Relative Efficacy of the Biological and Chemical Weapon Regimes

The biological and chemical weapon nonproliferation and disarmament regimes are often put forward as models of what the nuclear nonproliferation regime could (or should) be. But are these regimes effective? If so, is one stronger and/or more effective than the other? What is it that makes them relatively stronger than the nuclear nonproliferation regime? In this article, we return to and expand upon a framework for assessing regime health and effectiveness. We utilize this framework to engage in a comparative analysis of the chemical weapon (CW) and biological weapon (BW) nonproliferation regimes, respectively. Our analysis reveals that these two regimes are comparatively healthier than their nuclear counterpart. While some of their behavioral features might be troubling—such as the disputes over stockpile destruction of CW—these tend to be mitigated by the presence of a strong norm against possession and proliferation of both CW and BW. This norm is adequately embedded into the existing institutional features of the regimes in ways that do not exist in the nuclear nonproliferation regime.     

Two‐dimensional failure modeling with minimal repair

In this paper, we discuss two‐dimensional failure modeling for a system where degradation is due to age and usage. We extend the concept of minimal repair for the one‐dimensional case to the two‐dimensional case and characterize the failures over a two‐dimensional region under minimal repair. An application of this important result to a manufacturer's servicing costs for a two‐dimensional warranty policy is given and we compare the minimal repair strategy with the strategy of replacement of failure. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

Dichotomous categorical variable formation in mathematical programming discriminant analysis models

Classification models, whether generated by statistical techniques or mathematical programming (MP) discriminant analysis methods, are often simplified by ad hoc formation of dichotomous categorical variables from the original variables with, for example, a dichotomous variable taking value 1 if the original variable is above a threshold level and 0 otherwise. In this paper an MP discriminant analysis method is developed for forming dichotomous categorical variables in problems with discriminant functions that are monotone in the original variables. For each of the original variables from which dichotomous variables may be formed, a set of possible threshold levels for dichotomous variable formation is defined. An MP model is then used to determine both the threshold level for forming each dichotomous variable and the associated discriminant function coefficient. The proposed MP approach is applied to a published problem and a number of simulated problem sets. It is shown that the discriminant functions in dichotomous categorical variables generated by this new MP approach can in some cases outperform the functions generated by standard MP discriminant analysis models using the original variables. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.