A one-dimensional helicopter-submarine game

The article considers a two-person zero-sum game in which a searcher with b bombs wishes to destroy a mobile hider. The players are restricted to move on a straight line with maximum speeds v and u satisfying v > u > 0; neither player can see the other but each knows the other's initial position. The bombs all have destructive radius R and there is a time lag T between the release of a bomb and the bomb exploding. The searcher gets 1 unit if the hider is destroyed and 0 if he survives. A solution is given for b = 1, and extended to b > 1 when the time lag is small. Various applications of the game are discussed.     

Concise RLT forms of binary programs: A computational study of the quadratic knapsack problem

The reformulation‐linearization technique (RLT) is a methodology for constructing tight linear programming relaxations of mixed discrete problems. A key construct is the multiplication of “product factors” of the discrete variables with problem constraints to form polynomial restrictions, which are subsequently linearized. For special problem forms, the structure of these linearized constraints tends to suggest that certain classes may be more beneficial than others. We examine the usefulness of subsets of constraints for a family of 0–1 quadratic multidimensional knapsack programs and perform extensive computational tests on a classical special case known as the 0–1 quadratic knapsack problem. We consider RLT forms both with and without these inequalities, and their comparisons with linearizations derived from published methods. Interestingly, the computational results depend in part upon the commercial software used. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

A practical organizational efficiency measure

There is often a call in any organization to make the system ‘more efficient’. This document describes a novel framework for measuring organizational efficiency at the microeconomic level. We show how this framework can be used to monitor an organization using data typically available in extant performance management frameworks. This is most useful in large organizations with eclectic outputs where resources may be too constrained to perform industry-level analyses, such as data envelope analysis, to infer efficiency. This method helps illuminate how the factors of an organization’s internal practices can affect its efficient use of resources.     

Swedish–Finnish naval cooperation in the Baltic Sea: motives,prospects and challenges

Recently, Finland and Sweden decided to substantially deepen their defence cooperation and this project involves creating a bilateral standing Naval Task Group (SFNTG). The present article aims at examining the deepening naval cooperation between Finland and Sweden from a regional integration perspective, focusing on its motives, current challenges and future prospects. Driven by perceptions of common challenges and desires for cost-effectiveness, and strengthened by recent successes on sea surveillance and a combined Amphibious Task Unit, the bilateral project has considerable potential to achieve success. To fulfil its objectives, substantial legal changes in both countries are required to allow the use of force on each other’s territorial waters. To cater for the requirement of not conflicting with EU, NORDEFCO or NATO cooperations, the bilateral Task Group must operate according to NATO standards and by using English as the language in command and control. The costs of adjusting the naval units to NATO’s technical requirements are far from negligible and this issue still remains to be solved. If Finland and Sweden manage to incorporate new policies, common structures and common organisational norms among their navies, an even deeper integration, as in Belgium and the Netherlands, are conceivable.     

Controlling rates in a double queue

A double-ended queue with a Poisson arrival pattern is examined in a situation where the rates depend (in a restricted sense) on both the time and the state of the system. Under some circumstances, the rates can be controlled. This article studies the distribution of the difference in queue sizes for each member of a large class of control strategies and introduces the problem of determining the optimal times at which the control should be in effect in order to maximize certain objective functions.     

精密机床导轨的测量分析

本文提出了一个用于质量诊断的精密机床导轨分析系统。受控目标的质量评估是依据于对一个物体在选定区间内的测量形状与位置偏差来确定的。质量评估采用相关综合指标的形式:基本误差函数,综合不平行度。在对完整的支撑部件或导向部件作评估的时候,这套系统能对各部件的位置做校正。本文所描述的计算机系统能控制任何测量系统。目前的版本是控制一个测量平动与转动位移量的激光干涉仪。     

基于模型参考的机电精密驱动系统滞后效应补偿

概述 机电伺服驱动系统作为现代自动化技术中的关键部分之一,其轻质量和小体积对于应用精密齿轮系而言具有独到的作用。为了保证驱动系统的高功率密度,其要求系统具有高传动比和紧凑的齿轮结构,实现这一目的的方法是使齿轮系的轮牙大量啮合以使作用力矩并行分配从而提高系统的功率比。例如:井齿轮(Well Gear)具有使高达30％的轮牙同时啮合的独特结构,由此给齿轮传动特性带来一些非线性影响,如:衰减柔顺性、     

The stochastic duel with time-dependent hit probabilities

The fundamental stochastic duel considers two opponents who fire at each other at either random continuous or fixed-time intervals with a constant hit probability on each round fired. Each starts with an unloaded weapon, unlimited ammunition, and unlimited time. The first to hit wins. In this article we extend the theory to the case where hit probabilities are functions of the time since the duel began. First, the marksman firing at a passive target is considered and the characteristic function of the time to a hit is developed. Then, the probability of a given side winning the duel is derived. General solutions for a wide class of hit probability functions are derived. Specific examples of both the marksman and the duel problem are given.