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     

Dynamic pricing in a dual‐market environment

This article is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, for example, a long‐distance market and an on‐site market. The key difference between the two markets is that the long‐distance market provides for a one period delay in demand fulfillment. In contrast, on‐site orders must be filled immediately as the customer is at the physical on‐site location. We model the demands in consecutive periods as independent random variables and their distributions depend on the item's price in accordance with two general stochastic demand functions: additive or multiplicative. The firm uses a single pool of inventory to fulfill demands from both markets. We investigate properties of the structure of the dynamic pricing strategy that maximizes the total expected discounted profit over the finite time horizon, under fixed or controlled replenishment conditions. Further, we provide conditions under which one market may be the preferred outlet to sale over the other. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 531–549, 2015     

基于“招标—投标”策略的舰艇编队协同反导优化

针对舰艇编队协同防空反导的作战过程,以缩短舰艇编队协同反导的整体拦截时间、降低反导资源的消耗为目标,构建了一种"招标—投标"策略的舰艇编队协同反导优化模型。该模型利用模糊数学和动态规划相结合的优化技术,在单个作战单元需要编队内其他作战单元协同反导的情况下,运用"招标—投标"策略建立满足反导策略的决策方案,能实时、动态的调整舰艇编队整体协同反导策略。     

基于EVALPSN的循环式多轿厢电梯避撞设计与实现

多轿厢电梯系统作为垂直运输的新方式,避免轿厢之间的碰撞成为了其安全运行急需解决的重要问题。根据循环式多轿厢电梯控制系统的轿厢安全运行准则,分析了循环式多轿厢电梯系统的避撞控制问题,研究了基于带有强否定的扩展矢量注解的逻辑规划方法,设计一种电梯轿厢安全避障方法。通过建立了禁止轿厢危险运行的EVALPSN算式,避免了派梯中所选轿厢在井道中发生碰撞,保证电梯控制系统的安全运行,实验结果表明:所设计的方法针对循环式多轿厢断电梯避撞问题有较好的效果,可有效地保证多轿厢运行的安全性。     

救灾物资的紧急调运模型

针对某地区防洪救灾中物资的调运问题,利用图论中最短路的知识,根据问题实际,将物资的调运方案分成3个阶段.在每个阶段以费用最小或时间最短为目标.以各单位之间物资的供求平衡为约束,建立了规划模型.通过编程求解,制定了不同情况下物资紧急调运的具体方案,包括用车数量、行车线路、用车时间和费用.     

基于单变量多目标规划的装甲车辆冷却系统智能化控制

根据新一代装甲车辆推进系统热部件散热特点及其冷却系统调控原理,提出了一种单变量多目标数学规划与模糊智能控制相结合的控制算法。该算法将冷却系统抽象为单变量多目标数学规划问题,采用加权的方法将多个目标函数转化为综合目标函数,输入到模糊智能控制器中进行冷却控制。仿真结果表明:该控制算法具有良好的控制效果,能够有效地解决新型推进系统热源多、目标温度范围广而可调参数单一的问题。     

屋面太阳能电池布设优化模型

以光伏电池接受太阳能辐射强度最大化为目标,建立了太阳能电池板倾角和朝向优化模型,以确定太阳能电池板的最佳布设方式。根据发电量最大化、单位发电费用最小化原则,以净经济效益为目标函数,建立了光伏电池优选模型,对光伏电池进行优选排序从而选出性价比最高的光伏电池,并对模型进行了检验。结果表明：在山西省大同市地区铺设太阳能光伏电池,架空布设电池板的最佳倾角为36°,朝向为南偏西26.5°,光伏电池板最佳布设方式及电池优选模型与实际情况基本相符。     

电子侦察卫星联合侦察的混合调度算法

针对电子侦察卫星的使用约束,及不同任务的调度需求,建立了电子侦察卫星联合侦察的多目标混合整数规划模型.利用进化算法的全局搜索能力和变邻域搜索的局部优化能力,提出了一种多目标进化算法和变邻域搜索相结合两阶段混合调度算法MOEA VNS.针对问题多时间窗组合优化特点,设计了进化算子与邻域移动算子,在确保解多样性的同时使算法...     

A branch‐and‐bound‐based solution approach for dynamic rerouting of airborne platforms

This article is a sequel to a recent article that appeared in this journal, “An extensible modeling framework for dynamic reassignment and rerouting in cooperative airborne operations” [ 17 ], in which an integer programming formulation to the problem of rescheduling in‐flight assets due to changes in battlespace conditions was presented. The purpose of this article is to present an improved branch‐and‐bound procedure to solve the dynamic resource management problem in a timely fashion, as in‐flight assets must be quickly re‐tasked to respond to the changing environment. To facilitate the rapid generation of attractive updated mission plans, this procedure uses a technique for reducing the solution space, supports branching on multiple decision variables simultaneously, incorporates additional valid cuts to strengthen the minimal network constraints of the original mathematical model, and includes improved objective function bounds. An extensive numerical analysis indicates that the proposed approach significantly outperforms traditional branch‐and‐bound methodologies and is capable of providing improved feasible solutions in a limited time. Although inspired by the dynamic resource management problem in particular, this approach promises to be an effective tool for solving other general types of vehicle routing problems. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

Bounded flexibility in days‐on and days‐off scheduling

This article presents a flexible days‐on and days‐off scheduling problem and develops an exact branch and price (B&P) algorithm to find solutions. The main objective is to minimize the size of the total workforce required to cover time‐varying demand over a planning horizon that may extend up to 12 weeks. A new aspect of the problem is the general restriction that the number of consecutive days on and the number of consecutive days off must each fall within a predefined range. Moreover, the total assignment of working days in the planning horizon cannot exceed some maximum value. In the B&P framework, the master problem is stated as a set covering‐type problem whose columns are generated iteratively by solving one of three different subproblems. The first is an implicit model, the second is a resource constrained shortest path problem, and the third is a dynamic program. Computational experiments using both real‐word and randomly generated data show that workforce reductions up to 66% are possible with highly flexible days‐on and days‐off patterns. When evaluating the performance of the three subproblems, it was found that each yielded equivalent solutions but the dynamic program proved to be significantly more efficient. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 60: 678–701, 2013