2015年全国研究生数学建模竞赛F题综述

叙述了2015年全国研究生数学建模竞赛F题"旅游路线规划问题"的命题背景和目的,分析了本赛题的建模及求解思路,对评阅中发现的问题进行了综述,最后叙述了本赛题还需继续思考的问题.     

变循环发动机部件法建模及优化述评

叙述了2013年全国研究生数学建模竞赛A题"变循环发动机部件法建模及优化"的命题背景和目的,分析了本赛题的建模及求解思路,总结了参赛队的一些好的做法和评阅过程中发现的一些问题,最后叙述了本赛题还需要继续思考的问题.     

2018年中国研究生数学建模竞赛E题综述

叙述了2018年中国研究生数学建模竞赛E题"多无人机对组网雷达的协同干扰"的命题背景和目的,分析了本赛题的建模及求解思路,对评阅中发现的问题进行了综述,最后讨论了本赛题还需继续思考的问题.     

2018年中国研究生数学建模竞赛D题综述

介绍了2018年中国研究生数学建模竞赛D题"基于卫星高度计海面高度异常资料获取潮汐调和常数方法及应用"的命题背景和目的,分析了本赛题的建模及求解思路,对评阅中发现的问题进行了综述,最后提出了本赛题还需继续思考的问题.     

军事行动避空侦察的时机和路线选择的评述

建模竞赛D题"军事行动避空侦察的时机和路线选择"来源于国家反卫星侦察的军事背景,其核心是要找出卫星的运行规律并建立相关预测模型,体现了全国研究生数学建模竞赛的特色.阐述了命题背景,分析了本赛题的建模及求解思路.通过赛题的研究,使得研究生们更加关心国防建设,引导学生把数学建模应用到军事领域建模中来,解决实际问题.     

第十届研究生全国研究生数学建模竞赛——赛题“中等收入定位与人口度量模型研究”述评

对第十届全国研究生数学模型竞赛中赛题之一"中等收入定位与人口度量模型研究"的有关情况进行简要述评,认为达到了本赛题的设计目标,对培养参赛研究生思考重大经济、社会问题方面有重要意义.     

“穿越沙漠”赛题评述

对2020年"高教社杯"全国大学生数学建模竞赛"穿越沙漠"一题作简要评述,介绍赛题的数学基础和求解思路,探讨答卷所用的方法和存在的问题.     

2018年中国研究生数模竞赛F题的赛后综述

美国世博国际有限公司(Sabre?)有幸参与了2018年《第十五届中国研究生数学建模竞赛》的命题和赛后评审工作,负责的赛题是F题《机场新增卫星厅对中转旅客影响的评估方法》.介绍命题思路、解题方法和评审感想.本赛题取材于中国东方航空公司和上海浦东国际机场,但对数据进行了适当修改.     

储药柜设计问题解析

就2014年"高教社杯"全国大学生数学建模竞赛D题"储药柜的设计"提出了一种求解方法。在题目的分析和求解过程中,同时针对参赛论文中出现的问题作了简要的说明与点评。     

“风电场运行状况分析及优化”赛题评述

对2016年"高教社杯"全国大学生数学建模竞赛"风电场运行状况分析及优化"一题作简要评述,介绍了问题的背景、命题设想和解题思路,对参赛论文所用的主要方法和出现的主要问题进行了讨论。     

一种无人机侦察航迹分层规划方法

给出了一个通用可行的无人机侦察航迹分层规划方法,并应用到第十三届"华为杯"全国研究生数学建模竞赛A题第一问中.将无人机侦察航迹规划问题划分为四个层次,从上至下分别是目标群间侦察顺序优化,目标群内各目标侦察顺序优化,侦察点位优化,转弯设计,依次求解获得侦察航迹.通过分层解算方法既有效控制了算法复杂度,又能在确保满足复杂约束的同时优化无人机在敌方雷达探测区域内的暴露时间.     

A Constraint Programming model for fast optimal stowage of container vessel bays

Container vessel stowage planning is a hard combinatorial optimization problem with both high economic and environmental impact. We have developed an approach that often is able to generate near-optimal plans for large container vessels within a few minutes. It decomposes the problem into a master planning phase that distributes the containers to bay sections and a slot planning phase that assigns containers of each bay section to slots. In this paper, we focus on the slot planning phase of this approach and present a Constraint Programming and Integer Programming model for stowing a set of containers in a single bay section. This so-called slot planning problem is NP-hard and often involves stowing several hundred containers. Using state-of-the-art constraint solvers and modeling techniques, however, we were able to solve 90% of 236 real instances from our industrial collaborator to optimality within 1 second. Thus, somewhat to our surprise, it is possible to solve most of these problems optimally within the time required for practical application.     

Strategic planning decisions in an R & D setting

Strategic planning, by nature, is concerned with the organization's interaction with its environment and is normative because it deals with organizational motives and self image. The salient problem confronting strategic planning is to reflect the abstract and implicit value system held by management within a disciplined and informed analytical methodology.The Gas Research Institute has developed a strategic planning process, centered upon the annual development of a projection of the U.S. energy/economic situation. The process, which requires collaboration of top management and analytical staff, brings current environmental data and sophisticated methodology to bear on the outlook for the gas industry and gas-related technologies, but it ensures that analytical judgements will be influenced and, if necessary, overriden by current management values. Contradictions between managament perceptions and objective analysis are raised and resolved in an explicit process.     

Distribution planning in a turbulent environment

This paper looks at planning within the present distribution environment, paying particular attention to recent trends and developments. The idea of a depot as the traditional building block of a distribution network is questioned and the various functions of a regional depot are explored.The concept of a transit point as a simple alternative to a depot is developed and examples are given of its use in practice. Several refinements are available, particularly in the area of trailer technology, and these are discussed. The necessary support system for transit point operation is identified and finally the implications for distribution planning are considered.     

停车设施选址的双层规划模型

为了解决城市停车难问题,针对目前日益紧张的土地资源和快速增长的交通流量,考虑停车设施对路网上交通流的影响,提出一种在土地利用规划基础上的,对路网影响最小,停车场使用者步行时间最省的停车设施选址的双层规划模型,借助现有的交通规划软件(Emme)进行求解,并应用于上海市江湾-五角场副中心地区停车设施规划研究中.     

AN ITERATIVE MULTILEVEL APPROACH TO NATURAL RESOURCE OPTIMIZATION: A TEST CASE

Forest planners face a dilemma. On the one hand, they desire more detail than they currently have in their planning optimization models, and on the other hand, these models are already extremely large and complex. This sort of problem is common in other natural resource management situations as well. This paper investigates an iterative multilevel approach that would allow districts within the forest to have models approaching the size and complexity of current forest models, but still approximate a forest-level optimum. A specific procedure based on equating shadow prices across districts is developed and tested with a case example where a global optimum is determinable as a standard of comparison. The procedure shows promise, but difficulties in recognizing optimality are indicated.     

The capacity planning problem in make-to-order enterprises

This paper addresses the short-term capacity planning problem in a make-to-order (MTO) operation environment. A mathematical model is presented to aid an operations manager in an MTO environment to select a set of potential customer orders to maximize the operational profit such that all the selected orders are fulfilled by their deadline. With a given capacity limit on each source for each resource type, solving this model leads to an optimal capacity plan as required for the selected orders over a given (finite) planning horizon. The proposed model considers regular time, overtime, and outsourcing as the sources for each resource type. By applying this model to a small MTO operation, this paper demonstrates a contrast between maximal capacity utilization and optimal operational profit.     

A detailed workforce planning model including non-linear dependence of capacity on the size of the staff and cash management

This paper introduces an original planning model which integrates production, human resources and cash management decisions, taking into account the consequences that decisions in one area may have on other areas and allowing all these areas to be coordinated. The most relevant characteristics of the planning problem are: (1) production capacity is a non-linear function of the size of the staff; (2) firing costs may depend on the worker who is fired; (3) working time is managed under a working time account (WTA) scheme, so positive balances must be paid to workers who leave the company; (4) there is a learning period for hired workers; and (5) cash management is included. A mixed integer linear program is designed to solve the problem. Despite the size and complexity of the model, it can be solved in a reasonable time. A numerical example, the main results of a computational experiment and a sensibility analysis illustrate the performance and benefits of the model.     

An optimal stocking problem to minimize the expected time to sellout

We consider an assortment planning problem where the objective is to minimize the expected time to sell all items in the assortment. We provide several structural results for the optimal assortment. We present a heuristic policy, which we prove is asymptotically optimal. We also show that there are alternate objective criteria under which the problem simplifies considerably.     

A travel-time model for a person-onboard order picking system

The design of an order picking system in a distribution center depends on several decisions, where a key decision is determining the optimal storage system configuration (the number, length, and height of the storage aisles). To make this decision, a throughput model that considers vertical, as well as horizontal, travel is needed. In this paper we extend prior research that considers horizontal travel for a given number and length of the storage aisles so that we are also able to consider the height of the aisles as well. Such a model will provide a more accurate estimate of the throughput of an order picker and it will also permit an examination of the tradeoff between the length and height of the aisles. The analytical model we develop to estimate throughput is based on probability models and order statistics results assuming random storage. It is intended for person-onboard order picking systems and we consider both Tchebychev and rectilinear travel. We illustrate the use of our travel-time model by incorporating it into a simple, cost-based optimization model to recommend the height of a one-pallet-deep storage system.