兵力展开问题研究

如何将基地的兵力以最短时间展开到多个阵地中,是运输问题中的一种。为解决此问题对著名的兵力展开问题进行了研究。建立了兵力展开问题的数学模型,此模型是一个混合整数规划模型。提出了一种求解方法,该方法可解决类似的混合整数规划问题。最后给出了一个实例。     

Demand shuffle—A method for multilevel proportional lot sizing and scheduling

This contribution acquaints the reader with a model for multilevel single-machine proportional lot sizing and scheduling problems (PLSPs) that appear in the scope of short-term production planning. It is one of the first articles that deals with dynamic capacitated multilevel lot sizing and scheduling, which is of great practical importance. The PLSP model refines well-known mixed-integer programming formulations for dynamic capacitated lot sizing and scheduling as, for instance, the DLSP or the CSLP. A special emphasis is given on a new method called demand shuffle to solve multilevel PLSP instances efficiently but suboptimally. Although the basic idea is very simple, it becomes clear that in the presence of precedence and capacity constraints many nontrivial details are to be concerned. Computational studies show that the presented approach decidedly improves recent results. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 319–340, 1997     

一类马尔可夫人才系统中的工龄和职龄

用马尔可夫模型研究人才系统中工龄和职龄问题的一般方法都要按职务等级、工龄或职龄来划分系统状态。本文在只以职务等级划分系统状态的一类无降级且逐级晋升的齐次马尔可夫人才系统中讨论了工龄和职龄问题,得到直观描述工龄和职龄的计算结果,并通过一实例说明了本方法的应用价值。     

A forward network simplex algorithm for solving multiperiod network flow problems

An optimization model which is frequently used to assist decision makers in the areas of resource scheduling, planning, and distribution is the minimum cost multiperiod network flow problem. This model describes network structure decision-making problems over time. Such problems arise in the areas of production/distribution systems, economic planning, communication systems, material handling systems, traffic systems, railway systems, building evacuation systems, energy systems, as well as in many others. Although existing network solution techniques are efficient, there are still limitations to the size of problems that can be solved. To date, only a few researchers have taken the multiperiod structure into consideration in devising efficient solution methods. Standard network codes are usually used because of their availability and perceived efficiency. In this paper we discuss the development, implementation, and computational testing of a new technique, the forward network simplex method, for solving linear, minimum cost, multiperiod network flow problems. The forward network simplex method is a forward algorithm which exploits the natural decomposition of multiperiod network problems by limiting its pivoting activity. A forward algorithm is an approach to solving dynamic problems by solving successively longer finite subproblems, terminating when a stopping rule can be invoked or a decision horizon found. Such procedures are available for a large number of special structure models. Here we describe the specialization of the forward simplex method of Aronson, Morton, and Thompson to solving multiperiod network network flow problems. Computational results indicate that both the solution time and pivot count are linear in the number of periods. For standard network optimization codes, which do not exploit the multiperiod structure, the pivot count is linear in the number of periods; however, the solution time is quadratic.     

武器-目标分配(WTA)问题研究进展

对武器-目标分配(WTA)问题的研究现状与进展进行了总结与述评.介绍了WTA问题的概念、基本模型、数学性质以及WTA问题研究的基本内容.目前WTA问题的研究内容主要集中在模型研究与算法研究两个方面.模型研究以静态模型的研究为主,但动态模型的研究还不够深入;算法研究则主要采用智能算法对WTA问题进行求解.目前基本上已经解决了小规模的静态WTA问题,但尚未有效解决大规模的动态WTA问题.     

模糊优选动态规划在稀缺军事资源配置中的应用

在对稀缺军事资源配置问题进行数学描述的基础上,建立起评价指标相对优属度计算模型,实现了局部优选。在此基础上,通过分配目标综合评价模型实现了对局部优选数据的综合处理,最后建立资源分配的动态规划模型实现了对方案的优选。最后通过实例演示了解决该类问题的具体方法和步骤,对部队建设具有一定的参考和应用价值。     

Detection of minimal forecast horizons in dynamic programs with multiple indicators of the future

Many sequential planning problems can be represented as a shortest path problem in an acyclic network. This includes all deterministic dynamic programs as well as certain stochastic sequential decision problems. In this article, we identify a large class of shortest path problems for which a general efficient algorithm for the simultaneous solution and detection of minimal forecast horizons is developed. Detection of a such minimal forecast horizons is essential when accurate information regarding various relevant parameters is obtained progressively, i.e., when the initial information is restricted to a limited horizon of “future” stages only. We describe five classes of planning problems which can be efficiently addressed by the general algorithm. These classes deal with multi-item joint replenishment systems, combined inventory and routing problems, machine scheduling issues, single item stochastic inventory settings and routing problems in the plane and in space. © 1996 John Wiley & Sons, Inc.     

基于模型转换的异步空间配准算法

在分布式融合系统中,融合中心在对传感器发送过来的航迹数据进行融合处理前,需要采用空间配准算法来消除航迹数据中可能存在的系统误差.已有的空间配准算法未考虑滤波处理中的状态方程对配准过程的影响.对不同传感器具有不同状态方程条件下的异步空间配准实现进行了研究,采用将模型误差和系统误差合并处理的思路,提出了基于模型转换的异步空间配准(AMCBA)算法.仿真结果表明AMCBA算法能够实现对模型误差和系统误差的准确估计.     

Longitudinal manpower planning models

A manpower planning model is presented that exploits the longitudinal stability of manpower cohorts. The manpower planning process is described. An infinite horizon linear program for calculating minimum cost manpower input plans is presented and found to have a straightforward solution in a great many cases and to yield an easily implemented approximation technique in other cases.     

进化计算在机器人轨迹规划中的应用研究

本文介绍了采用进化计算思想研制的机器人轨迹规划系统ＲＴＰ－１，提出多层次动态结构化编码方案，利用低中高三层进化算法分别优化距离、路径和关节角度偏差，基于多层综合优化策略解决多目标多约束工程优化问题，建立了次序相关问题求解的通用框架。在进化算法中，利用拉马克效应加快轨迹规划速度，在ＲＭ－５０１机械手上实现的任意空间直线和空间曲线轨迹规划具有良好的鲁棒性，规划轨迹的相邻臂构型间具有良好的柔顺性，规划轨迹的臂构型序列具有良好的平滑性。本文所采用的机器人轨迹规划方法具有通用性，可推广应用于各种动力学系统的研制。     

Manpower modeling in cost effectiveness studies of usaf program to reduce the incidence of heart disease

Planning for a cardiovascular disease reduction program, soon to be initiated by the United States Air Force, has required an evaluation of its expected cost effectiveness. During the course of this evaluation, it was necessary to consider manpower flows and their expected changes in response to the disease reduction program. This paper describes several manpower models that were applied: a simple expected value equilibrium model; a cross-sectional model that considered the length of service of personnel; and a staffing model used to optimize the allocation of paramedics to the many Air Force bases of various sizes. The relevance of these models to the cost effectiveness evaluation is shown but the detailed cost effectiveness results are not presented.     

A multifacility capacity expansion model with joint expansion set-up costs

This article describes a multifacility capacity expansion model in which the different facility types represent different quality levels. These facility types are used to satisfy a variety of deterministic demands over a finite number of discrete time periods. Applications for the model can be found in cable sizing problems associated with the planning of communication networks. It is assumed that the cost function associated with expanding the capacity of any facility type is concave, and that a joint set-up cost is incurred in any period in which one or more facilities are expanded. The model is formulated as a network flow problem from which properties associated with optimal solutions are derived. Using these properties, we develop a dynamic programming algorithm that finds optimal solutions for problems with a few facilities, and a heuristic algorithm that finds near-optimal solutions for larger problems. Numerical examples for both algorithms are discussed.     

Allocation of resources to offensive strategic weapon systems

In this paper a very versatile game model is developed for use in the long range planning of our strategic force posture. This highly aggregate model yields optimal force mixes for the triad (land- and sea-based missile systems and bombers) under a variety of constraints. The model described here is a survivability model; however, it is shown how the model can still be used as a measure of overall system effectiveness. Constraints imposed on the problem include both SALT and budget limitations.     

Subspace dynamic‐simplex linear interpolation search for mixed‐integer black‐box optimization problems

Design and management of complex systems with both integer and continuous decision variables can be guided using mixed‐integer optimization models and analysis. We propose a new mixed‐integer black‐box optimization (MIBO) method, subspace dynamic‐simplex linear interpolation search (SD‐SLIS), for decision making problems in which system performance can only be evaluated with a computer black‐box model. Through a sequence of gradient‐type local searches in subspaces of solution space, SD‐SLIS is particularly efficient for such MIBO problems with scaling issues. We discuss the convergence conditions and properties of SD‐SLIS algorithms for a class of MIBO problems. Under mild conditions, SD‐SLIS is proved to converge to a stationary solution asymptotically. We apply SD‐SLIS to six example problems including two MIBO problems associated with petroleum field development projects. The algorithm performance of SD‐SLIS is compared with that of a state‐of‐the‐art direct‐search method, NOMAD, and that of a full space simplex interpolation search, Full‐SLIS. The numerical results suggest that SD‐SLIS solves the example problems efficiently and outperforms the compared methods for most of the example cases. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 305–322, 2017     

Integrated capacity,demand, and production planning with subcontracting and overtime options

Models for integrated production and demand planning decisions can serve to improve a producer's ability to effectively match demand requirements with production capabilities. In contexts with price‐sensitive demands, economies of scale in production, and multiple capacity options, such integrated planning problems can quickly become complex. To address these complexities, this paper provides profit‐maximizing production planning models for determining optimal demand and internal production capacity levels under price‐sensitive deterministic demands, with subcontracting and overtime options. The models determine a producer's optimal price, production, inventory, subcontracting, overtime, and internal capacity levels, while accounting for production economies of scale and capacity costs through concave cost functions. We use polyhedral properties and dynamic programming techniques to provide polynomial‐time solution approaches for obtaining an optimal solution for this class of problems when the internal capacity level is time‐invariant. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

联合作战的远程火力战法动态分析方法*

用定量动态分析方法开发远程火力战法是联合作战规划中必须解决的重要问题。借助仿真和博弈分析的混合方法,在对博弈效用函数计算的基础上,构建基于识别真目标、假目标以及火力命中目标概率的二人非零和(TPNZS)非合作博弈模型来开发远程火力战法动态分析方法,对两个典型的联合作战远程火力打击战法性能的初步动态分析表明:战场势态的动态变化直接影响定量规划最优战法的结果。     

An asymptotically optimal greedy heuristic for the multiperiod single‐sourcing problem: The cyclic case

The dynamics of the environment in which supply chains evolve requires that companies frequently redesign their logistics distribution networks. In this paper we address a multiperiod single‐sourcing problem that can be used as a strategic tool for evaluating the costs of logistics network designs in a dynamic environment. The distribution networks that we consider consist of a set of production and storage facilities, and a set of customers who do not hold inventories. The facilities face production capacities, and each customer's demand needs to be delivered by a single facility in each period. We deal with the assignment of customers to facilities, as well as the location, timing, and size of inventories. In addition, to mitigate start and end‐of‐study effects, we view the planning period as a typical future one, which will repeat itself. This leads to a cyclic model, in which starting and ending inventories are equal. Based on an assignment formulation of the problem, we propose a greedy heuristic, and prove that this greedy heuristic is asymptotically feasible and optimal in a probabilistic sense. We illustrate the behavior of the greedy heuristic, as well as some improvements where the greedy heuristic is used as the starting point of a local interchange procedure, on a set of randomly generated test problems. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 412–437, 2003     

Balancing and optimizing a portfolio of R&D projects

A mathematical formulation of an optimization model designed to select projects for inclusion in an R&D portfolio, subject to a wide variety of constraints (e.g., capital, headcount, strategic intent, etc.), is presented. The model is similar to others that have previously appeared in the literature and is in the form of a mixed integer programming (MIP) problem known as the multidimensional knapsack problem. Exact solution of such problems is generally difficult, but can be accomplished in reasonable time using specialized algorithms. The main contribution of this paper is an examination of two important issues related to formulation of project selection models such as the one presented here. If partial funding and implementation of projects is allowed, the resulting formulation is a linear programming (LP) problem which can be solved quite easily. Several plausible assumptions about how partial funding impacts project value are presented. In general, our examples suggest that the problem might best be formulated as a nonlinear programming (NLP) problem, but that there is a need for further research to determine an appropriate expression for the value of a partially funded project. In light of that gap in the current body of knowledge and for practical reasons, the LP relaxation of this model is preferred. The LP relaxation can be implemented in a spreadsheet (even for relatively large problems) and gives reasonable results when applied to a test problem based on GM's R&D project selection process. There has been much discussion in the literature on the topic of assigning a quantitative measure of value to each project. Although many alternatives are suggested, no one way is universally accepted as the preferred way. There does seem to be general agreement that all of the proposed methods are subject to considerable uncertainty. A systematic way to examine the sensitivity of project selection decisions to variations in the measure of value is developed. It is shown that the solution for the illustrative problem is reasonably robust to rather large variations in the measure of value. We cannot, however, conclude that this would be the case in general. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 18–40, 2001     

高空长航时无人机编队协同侦察任务规划

针对高空长航时无人机侦察任务规划特点,分析了高空长航时无人机执行侦察任务过程中的飞行航线约束和通信条件约束,以最小化无人机总飞行航程和最终编队飞行时间为优化目标,建立无人机编队协同侦察任务规划问题模型。同以往的通用侦察任务模型相比,该模型突出考虑了高空长航时无人机执行侦察任务过程的特点。以基本粒子群算法为基础,通过粒子群离散化和结合遗传算法进行改进,使其适用于求解复杂组合优化问题。仿真结果验证了算法求解复杂任务规划问题的有效性。     

基于动力学模型的柔性加工设备机电系统状态监测与故障预警

在建立的加工设备机电系统精确动力学模型及对模型参数实时辨识的基础上［１］，建立柔性加工设备机电系统的状态监测模型，包括ＢＡＹＥＳ故障检测、突发故障检测及故障分析与定位等；同时利用Ｋｕｌ－ｂａｃｋ信息距离和多层递阶ＡＲ模型实现系统的状态与故障预警。在加工设备上的实验表明模型可行有效，它能排除柔性多变工况、时变性及随机干扰对监测与预警功能的影响，提高其鲁棒性和自适应能力。