1,717 | 0 | 78 |
下载次数 | 被引频次 | 阅读次数 |
本文对2024年“高教社杯”全国大学生数学建模竞赛C题“农作物的种植策略”一题作简要评述,介绍赛题的概况和求解方法,给出问题的数学规划模型和求解结果,并列举参赛论文存在的主要问题.
Abstract:This paper provides a brief review of the "Crops Cultivation Plan", Problem C of the CUMCM 2024. It outlines the contest problem, introduces solution approaches, presents the mathematical programming formulation and corresponding results, and highlights the main issues existing in the submitted solutions.
[1]全国大学生数学建模竞赛组委会.2024 “高教社杯” 全国大学生数学建模竞赛赛题[EB/OL].[2024-09-05].https://www.mcm.edu.cn/html_cn/node/a0c1fb5c31d43551f08cd8ad16870444.html.
[2]谈之奕,林凌.组合优化与博弈论[M].杭州:浙江大学出版社,2015.
[3]Validi H,Buchanan A,Lykhovyd E.Imposing contiguity constraints in political districting models[J].Operations Research,2022,70(2):867-892.
[4]Vangerven B,Briskorn D,Goossens D R,et al.Parliament seating assignment problems[J].European Journal of Operational Research,2022,296(3):914-926.
[5]黄红选,韩继业.数学规划[M].北京:清华大学出版社,2006.
[6]Blum C,Roli A.Metaheuristics in combinatorial optimization:overview and conceptual comparison[J].ACM Computing Surveys,2003,35(3):268-308.
[7]John R B,Fran?ois L.Introduction to stochastic programming[M].2nd ed.New York:Springer,2011.
[8]Shapiro A,Dentcheva D,Ruszczyński A.Lectures on stochastic programming:modeling and theory[M].Philadelphia,PA:Society for Industrial and Applied Mathematics,2009.
[9]Krokhmal P,Zabarankin M,Uryasev S.Modeling and optimization of risk[J].Surveys in Operations Research and Management Science,2011,16(2):49-66.
[10]Sarykalin S,Serraino G,Uryasev S.Value-at-risk vs.conditional value-at-risk in risk management and optimization[M]//State-of-the-art decision-making tools in the information-intensive age.INFORMS,2008:270-294.
[11]Dijkstra E W.A note on two problems in connexion with graphs[J].Numerische Mathematik,1959,1:269-271.
[12]Clarke G,Wright J W.Scheduling of vehicles from a central depot to a number of delivery points[J].Operations Research,1964,12(4):568-581.
[13]Solnon C,Cung V D,Nguyen A,et al.The car sequencing problem:overview of state-of-the-art methods and industrial case-study of the ROADEF′ 2005 challenge problem[J].European Journal of Operational Research,2008,191:912-927.
基本信息:
DOI:10.19943/j.2095-3070.jmmia.2025.02.04
中图分类号:G642;S3-33;O221
引用信息:
[1]谈之奕,肖俊文.“农作物的种植策略”赛题评述[J].数学建模及其应用,2025,14(02):28-36.DOI:10.19943/j.2095-3070.jmmia.2025.02.04.
基金信息: