Multiple-attribute decision making with partial information: The expected-value criterion

We consider the multiple-attribute decision problem with finite action set and additive utility function. We suppose that the decision maker cannot specify nonnegative weights for the various attributes which would resolve the problem, but that he/she supplies ordinal information about these weights which can be translated into a set of linear constraints restricting their values. A bounded polytope W of feasible weight vectors is thus determined. Supposing that each element of W has the same chance of being the “appropriate one,” we compute the expected utility value of each action. The computation method uses a combination of numerical integration and Monte Carlo simulation and is equivalent to finding the center of mass of the bounded polytope W . Comparisons are made with another criterion already presented, the comparative hyper-volume criterion, and two small examples are presented.     

On the set of (perfect) equilibria of a bimatrix game

This article provides a new approach to the set of (perfect) equilibria. With the help of an equivalence relation on the strategy space of each player. Nash sets and Selten sets are introduced. The number of these sets is finite and each of these sets is a polytope. As a consequence the set of (perfect) equilibria is a finite union of polytopes. © 1994 John Wiley & Sons. Inc.     

基于LMI的不确定性无尾飞行器鲁棒变增益控制器设计

无尾式飞行器是飞行器发展的方向,研究无尾式控制具有重要意义.研究了线性变参数系统的增益调度控制器的设计方法,采用多胞形进行增益调度,提出了一种简单实用的变参数顶点凸分解方法,该方法在保证系统稳定的情况下,确保系统达到最优性能指标.同时还充分考虑了系统的不确定性因素,利用线性矩阵不等式(LMI)对系统进行鲁棒控制器设计,大大减少了计算量以及对系统的约束,设计出了基于LMI的增益调度控制器,通过非线性仿真结果可以看出,该控制器在调节变量变化很大的情况下,使得系统在0.5s内收敛,而且超调量很小,论证了该方法在无尾式飞控系统中应用的可行性.     

A lagrangean relaxation algorithm for the constrained matrix problem

We present variants of a convergent Lagrangean relaxation algorithm for minimizing a strictly convex separable quadratic function over a transportation polytope. The algorithm alternately solves two “subproblems,” each of which has an objective function that is defined by using Lagrange multipliers derived from the other. Motivated by the natural separation of the subproblems into independent and very easily solved “subsubproblems,” the algorithm can be interpreted as the cyclic coordinate ascent method applied to the dual problem. We exhibit our computational results for different implementations of the algorithm applied to a set of large constrained matrix problems.     

Minimizing sums and products of linear fractional functions over a polytope

In this paper, we develop efficient deterministic algorithms for globally minimizing the sum and the product of several linear fractional functions over a polytope. We will show that an elaborate implementation of an outer approximation algorithm applied to the master problem generated by a parametric transformation of the objective function serves as an efficient method for calculating global minima of these nonconvex minimization problems if the number of linear fractional terms in the objective function is less than four or five. It will be shown that the Charnes–Cooper transformation plays an essential role in solving these problems. Also a simple bounding technique using linear multiplicative programming techniques has remarkable effects on structured problems. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 583–596, 1999     

Multiple-attribute decision making with partial information: The comparative hypervolume criterion

A new approach is presented for analyzing multiple-attribute decision problems in which the set of actions is finite and the utility function is additive. The problem can be resolved if the decision makers (or group of decision makers) specifies a set of nonnegative weights for the various attributes or criteria, but we here assume that the decision maker(s) cannot provide a numerical value for each such weight. Ordinal information about these weights is therefore obtained from the decision maker(s), and this information is translated into a set of linear constraints which restrict the values of the weights. These constraints are then used to construct a polytope W of feasible weight vectors, and the subsets H_i (polytopes) of W over which each action a_i has the greatest utility are determined. With the Comparative Hypervolume Criterion we calculate for each action the ratio of the hypervolume of H_i to the hypervolume of W and suggest the choice of an action with the largest such ratio. Justification of this choice criterion is given, and a computational method for accurately approximating the hypervolume ratios is described. A simple example is provided to evaluate the efficiency of a computer code developed to implement the method.     

复杂线型小水线面双体船兴波阻力数值计算方法研究

将分段幂多项式拟合方法与线性兴波阻力理论相结合,提出一种针对复杂线型小水线面双体船的兴波阻力数值计算方法,该方法应用于常规小水线面双体船的兴波阻力计算,表明该方法能在常规的幂多项式拟合方法的基础上进一步提高计算精度,同时也验证了该方法的正确性,将该方法的计算结果与复杂线型小水线面双体船剩余阻力的试验结果相比,两者吻合较好,证明了该方法用于复杂线型小水线面双体船的兴波阻力计算是可行的。     

Direct ink writing of 3D-Honeycombed CL-20 structures with low critical size

3D-Honeycombed CL-20 structures with low critical size of detonation have been fabricated successfully for intelligent weapon systems using a micro-flow direct ink writing (DIW) technology. The CL-20-based explosive ink for DIW technology was prepared by a two-component adhesive system with waterborne polyurethane (WPU) and ethyl cellulose (EC). Not only the preparation of the explosive ink but also the principle of DIW process have been investigated systematically. The explosive ink displayed strong shear-thinning behavior that permitted layer-by-layer deposition from a fine nozzle onto a substrate to produce complex shapes. The EC content was varied to alter the pore structure distribution and rheological behavior of ink samples after curing. The deposited explosive composite materials are of a honeycombed structure with high porosity, and the pore size distribution increases with the increase of EC content. No phase change was observed during the preparation process. Both WPU and EC show good compatibility with CL-20 particles. Apparently high activation energy was realized in the CL-20-based composite ink compared with that of the refined CL-20 due to the presence of non-energetic but stable WPU. The detonation performance of the composite materials can be precisely controlled by an adjustment in the content of binders. The 3D honeycombed CL-20 structures, which are fabricated by DIW technology, have a very small critical detonation size of less than 69 μm, as demonstrated by wedge shaped charge test. The ink can be used to create 3D structures with complex geometries not possible with traditional manufacturing techniques, which presents a bright future for the development of intelligent weapon systems.     

论疑罪现场的概念及其意义

疑罪现场是指可能与犯罪行为有关的场所。疑罪现场从现象上往往具有犯罪现场的疑似现象，是现场与犯罪现场之间的一个认知层次与过程。疑罪现场需要通过现场勘查与研究才能确定其事件性质。确立疑罪现场概念的学理意义是科学地界定现场勘查学科的基础概念。在现场勘查专业理论和教育培训中引入疑罪现场的概念。可以使现场勘查学科体系中对现场勘查等概念的描述更科学。疑罪现场概念的确立与运用也可以使侦查人员对现场勘查的认识与把握更精确更客观。     

Trajectory predictions of new lift separation sabots

This paper presents a modified analytical model to evaluate the trajectories of various lift separation sabot configurations. The aerodynamic forces acting on the sabot surfaces during a supersonic flight are modeled in the present analytical model by incorporating the pressures on the windward side of the sabot due to the detached/attached shock and its reflections and then integrated using the 3-DoF dynamical equations. The trajectory and the aerodynamic coefficients were obtained for these config-urations at a projectile Mach number of 3. The sabot configurations, which include two new designs, are compared with each other and with the conventional free flight trajectory data of the conventional sabots. The mechanical interaction between the sabot and projectile is also addressed in the present work. The comparison shows that the new designs with the aerodynamic surfaces close to the center of gravity, lift-off from the projectile with minimal mechanical interaction compared to a conventional sabot.     

重塑非饱和含粘砂土变形强度特性的三轴试验

利用多功能土工三轴仪探讨了非饱和含粘砂土的变形和强度特性，共进行3种应力路径的三轴试验：控制吸力的各向同性压缩试验、控制净平均应力的三轴收缩试验、控制吸力和净围压为常数的三轴排水剪切试验。研究结果表明：该土的屈服净平均应力和偏应力都随吸力增大；在净平均应力不变的条件下，该土的屈服吸力是一常数但不等于土样在历史上曾受过的最大吸力；随着净围压增大，其应力-应变曲线由软化向硬化型转变；在高吸力高围压下，呈现脆性破坏。控制吸力和净围压为常数的三轴排水剪切试验在p—q平面内的强度包络线为直线；在试验研究的吸力范围（50～200kPa）内，该土的粘聚力随吸力线性增加；内摩擦角随吸力的变化很小，可以认为是一常数；该土具有显著的剪胀特性，剪胀性不仅取决于千密度与围压，而且还与吸力密切相关。     

不同类型双层玻璃幕墙火灾烟气流动特性对比研究

采用大涡模拟方法研究整体式、走廊式和竖井式三类常用双层玻璃幕墙的火灾烟气流动特性。结果表明,整体式双层玻璃幕墙内的烟气在竖直方向上的蔓延速度很快,但空腔内烟气温度相对较低,约为180℃;走廊式双层玻璃幕墙可以将火灾烟气完全限制在着火楼层的玻璃幕墙空腔内,但空腔内最高温度高达270℃;竖井式双层玻璃幕墙不能完全阻止烟气向其他楼层玻璃幕墙空腔内的蔓延,但与整体式双层玻璃幕墙相比,进入其他楼层的烟气量明显减少,玻璃幕墙空腔内的最高温度介于上述两种双层玻璃幕墙空腔内最高温度值之间。在实际应用中,应充分考虑不同类型双层玻璃幕墙的消防问题,并有针对性的采取防护措施,降低其火灾危险性。     

Reduction of global effects on vehicles after IED detonations

Global effects caused by the detonation of an IED near a military vehicle induce subsequent severe acceleration effects on the vehicle occupants. Two concepts to minimize these global effects were developed, with the help of a combined method based on a scaled experimental technology and numerical simulations. The first concept consists in the optimization of the vehicle shape to reduce the momentum transfer and thus the occupant loading. Three scaled V-shaped vehicles with different ground clearances were built and compared to a reference vehicle equipped with a flat floor. The second concept, called dynamic impulse compensation (DIC), is based on a momentum compensation technique. The principal possibility of this concept was demonstrated on a scaled vehicle. In addition, the numerical simulations have been performed with generic full size vehicles including dummy models, proving the capability of the DIC technology to reduce the occupant loading.     

Thermal explosion of a reactive gas mixture at constant pressure for non-uniform and uniform temperature systems

In this study, the approximate and exact solutions for the stationary-state of the solids model with neglecting reactant consumption for both non-uniform and uniform temperature systems were applied on gas ignition under a constant pressure condition. The criticality conditions for a slab, an infinite cylinder, and a sphere are determined and discussed using dimensionless temperatures under constant ambient and surface temperatures for a non-uniform temperature system. Exact solution for a Semenov model with convection heat loss was also presented. The solution of the Semenov problem for constant volume or density as a solid and constant pressure were compared. The critical parameter δ is calculated and compared with those of Frank-Kamenetskii solution values. The validation of the calculated ignition temperatures with other exact solution and experimental results were offered. The relation between critical parameters form Semenov and F.K. models solution was introduced.     

Algorithms for the constrained maximum-weight connected graph problem

Given a positive integer R and a weight for each vertex in a graph, the maximum-weight connected graph (MCG) problem is to find a connected subgraph with R vertices that maximizes the sum of the weights. The MCG problem is strongly NP-complete, and we study a special case of it: the constrained MCG (CMCG) problem, which is the MCG problem with a constraint of having a predetermined vertex included in the solution. We first show that the Steiner tree problem is a special case of the CMCG problem. Then we present three optimization algorithms for the CMCG problem. The first two algorithms deal with special graphs (tree and layered graphs) and employ different dynamic programming techniques, solving the CMCG problem in polynomial times. The third one deals with a general graph and uses a variant of the Balas additive method with an imbedded connectivity test and a pruning method. We also present a heuristic algorithm for the CMCG problem with a general graph and its bound analysis. We combine the two algorithms, heuristic and optimization, and present a practical solution method to the CMCG problem. Computational results are reported and future research issues are discussed. © 1996 John Wiley & Sons, Inc.     

A heuristic network procedure for the assembly line balancing problem

Proposed is a Heuristic Network (HN) Procedure for balancing assembly lines. The procedure uses simple heuristic rules to generate a network which is then traversed using a shortest route algorithm to obtain a heuristic solution. The advantages of the HN Procedure are: a) it generally yields better solutions than those obtained by application of the heuristics, and b) sensitivity analysis with different values of cycle time is possible without having to regenerate the network. The rationale for its effectiveness and its application to problems with paralleling are presented. Computational experience with the procedure on up to 50 task test problems is provided.     

船用三层组合外套液压联轴器最优分层分析

液压联轴器外套采用多层筒组合式外套可提高液压联轴器的弹性极限承载能力.文中对液压联轴器不同材料双层组合式外套和同种材料3层组合式外套进行了分析,确定了双层和3层外套分层界面的最佳半径.结果表明,3层外套的弹性极限承载能力比单层外套的弹性极限承载能力提高了31.4%;3层外套的弹性极限承载能力比双层外套的弹性极限承载能力提高了7.4%.     

伺服系统速度环控制器参数的自整定及优化

针对交流伺服系统速度环控制器参数自整定及优化的需求,为使工程技术人员避免繁琐的调参过程,提出了一种基于转动惯量辨识的速度环控制器参数自整定及优化方法。首先,采用频率法分析伺服系统速度环控制器参数的设计规则;随后,采用遗忘因子递推最小二乘法,对控制器参数设计所需的系统转动惯量进行辨识;最后,在此基础上利用设计的变步长迭代算法,完成控制器参数寻优过程。仿真结果表明,采用遗忘因子递推最小二乘法,能够有效辨识出电机轴端的转动惯量。提出算法进行整定及优化后,速度环控制器参数能使系统具有良好的动态响应和鲁棒性。