Rendez‐vous search on a rectangular lattice

In a rendez‐vous search two or more teams called seekers try to minimize the time needed to find each other. In this paper, we consider s seekers in a rectangular lattice of locations where each knows the configuration of the lattice, the distribution of the seekers at time 0, and its own location, but not the location of any other. We measure time discretely, in turns. A meeting takes place when the two seekers reach the same point or adjacent points. The main result is that for any dimension of lattice, any initial distribution of seekers there are optimal strategies for the seekers that converge (in a way we shall make clear) to a center. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Pakistani Political Communication and Public Opinion on US Drone Attacks

Conventional wisdom holds that Pakistanis are overwhelmingly opposed to American drone strikes in their country’s tribal areas and that this opposition is driven by mass media coverage of the loss of life and property the strikes purportedly cause. Using an approach based in the literature in political communication and public opinion, we argue this conventional wisdom is largely inaccurate. Instead, we contend that awareness of drone strikes will be limited because Pakistan is a poor country with low educational attainment, high rates of illiteracy and persistent infrastructure problems that limit access to mass media. Moreover, because of these same country characteristics, Pakistanis’ beliefs about drone strikes will be shaped primarily by informal, face-to-face political communication, rather than through more formal media sources. We test this argument using data that we collected by fielding a 7,656 respondent, nationally-representative survey carried out in Pakistan in 2013. The results of the statistical analysis support our arguments.     

Service design at diagnostic service centers

We study a service design problem in diagnostic service centers, call centers that provide medical advice to patients over the phone about what the appropriate course of action is, based on the caller's symptoms. Due to the tension between increased diagnostic accuracy and the increase in waiting times more in‐depth service requires, managers face a difficult decision in determining the optimal service depth to guide the diagnostic process. The specific problem we consider models the situation when the capacity (staffing level) at the center is fixed, and when the callers have both congestion‐ and noncongestion‐related costs relating to their call. We develop a queueing model incorporating these features and find that the optimal service depth can take one of two different structures, depending on factors such as the nurses' skill level and the maximum potential demand. Sensitivity analyses of the two optimal structures show that they are quite different. In some situations, it may (or may not) be optimal for the manager to try to expand the demand at the center, and increasing skill level may (or may not) increase congestion. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

美国陆军随军牧师制度发展简史

一、美国陆军随军牧师制度的早期形成与发展(一)随军牧师制度溯源如要探寻美国陆军随军牧师制度的源头,可以追溯到悠远的历史深处。每当出现骚乱、危急和恐怖的时刻,人类总是寄希望于宗教和宗教人士,以获得安慰。战争时期也不例外。在发生战争冲突的时期,无论是古代社会,还是现代社会,人们都会转而求助于宗教。公众总是期望把宗教的抚慰同样传递给那些在战场上服役的士兵们。从人们已知的有文字记载之前的社会开始,祭司和其他宗教人士或许就在为战争的胜利而祈求上帝或众神的保佑了。《旧约》中就常提及随军参战的祭司(priests)。在《摩西五…     

Approximations and empirics for stochastic war equations

The article develops a theorem which shows that the Lanchester linear war equations are not in general equal to the Kolmogorov linear war equations. The latter are time‐consuming to solve, and speed is important when a large number of simulations must be run to examine a large parameter space. Run times are provided, where time is a scarce factor in warfare. Four time efficient approximations are presented in the form of ordinary differential equations for the expected sizes and variances of each group, and the covariance, accounting for reinforcement and withdrawal of forces. The approximations are compared with “exact” Monte Carlo simulations and empirics from the WWII Ardennes campaign. The band spanned out by plus versus minus the incremented standard deviations captures some of the scatter in the empirics, but not all. With stochastically varying combat effectiveness coefficients, a substantial part of the scatter in the empirics is contained. The model is used to forecast possible futures. The implications of increasing the combat effectiveness coefficient governing the size of the Allied force, and injecting reinforcement to the German force during the Campaign, are evaluated, with variance assessments. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

Production‐inventory systems with imperfect advance demand information and updating

We consider a supplier with finite production capacity and stochastic production times. Customers provide advance demand information (ADI) to the supplier by announcing orders ahead of their due dates. However, this information is not perfect, and customers may request an order be fulfilled prior to or later than the expected due date. Customers update the status of their orders, but the time between consecutive updates is random. We formulate the production‐control problem as a continuous‐time Markov decision process and prove there is an optimal state‐dependent base‐stock policy, where the base‐stock levels depend upon the numbers of orders at various stages of update. In addition, we derive results on the sensitivity of the state‐dependent base‐stock levels to the number of orders in each stage of update. In a numerical study, we examine the benefit of ADI, and find that it is most valuable to the supplier when the time between updates is moderate. We also consider the impact of holding and backorder costs, numbers of updates, and the fraction of customers that provide ADI. In addition, we find that while ADI is always beneficial to the supplier, this may not be the case for the customers who provide the ADI. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011