三峡大学, 理学院数学系, 湖北宜昌 443002
| 摘 要: | 在前期研究“基于二次规划建模的甘蔗企业生产计划与算例研究”的基础上,应用运筹学二次规划建模的最优化理论与方法,对蔗糖企业生产计划建模与仿真计算进行了更深入的研究:在原有的生产计划模型基础上引入了参数变量,改进了原有的生产计划模型,而且仿真计算方面更体现出各类场景、更逼真于收砍旺季期间大规模的生产计划编制情形。决策者可根据收砍旺季期需要加工生产的车辆数来适时调整生产线,在生产周期、生产线与生产时间、人力成本之间寻找平衡点。含参变量蔗糖企业生产计划0-1二次规划模型和内点算法在解决收砍旺季期企业大规模化生产问题具有较高程度的人工智能意义,能更有效更适时的实现人机交互。 |
| 关 键 词: | 蔗糖企业生产计划; 生产周期; 子时段; 参数0-1二次规划模型; 大数据仿真计算 |
| DOI: | 10.57237/j.wjfse.2023.04.001 |
Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, China
| Abstract: | Based on the previous research on the production plan and case study of sugarcane enterprises based on quadratic programming modeling, the optimization theory and method of quadratic programming modeling in operations research were applied to conduct a more in-depth study on the production plan modeling and simulation calculation of sugarcane enterprises: On the basis of the original production planning model, parameter variables have been introduced to improve the original production planning model, and simulation calculations more reflect various scenarios and are more realistic in the large-scale production planning situation during the peak harvest season. Decision makers can adjust the production line in a timely manner based on the number of vehicles that need to be processed during the peak harvest season, and find a balance point between the production cycle, production line and production time, and labor costs. The 0-1 quadratic programming model and interior point algorithm with parametric variables in the production plan of sucrose enterprises have a high degree of artificial intelligence significance in solving the large-scale production problem of enterprises during the peak harvest season, and can more effectively and timely achieve human-machine interaction. |
| Keywords: | Production Plan of Sugar Enterprise; Production Cycle; Sub-period; Parameter 0-1 Quadratic Programming Model; Big Data Simulation Calculation |
| [1] | 刘晓雪, 闫彩云等, 广西甘蔗生产关键影响因素及解决路径的调查分析 [J], 中国糖料, 2020, 42(4): 68-75. |
| [2] | Silva, Renato Rodrigues da; Escarpinati, Mauricio Cunha; Backes, André Ricardo. Sugarcane crop line detection from UAV images using genetic algorithm and Radon transform [J]. Signal, Image and Video Processing, 2021, 15(8): 1723-1730. |
| [3] | 常慧杰, 范稚莲等, 广西甘蔗生产规模比较优势空间格局特征及影响因素分析 [J],南方农业学报, 2021, 52(5): 1405-1413. |
| [4] | Teixeira, Eduardo dos Santos; Rangel, Socorro; Florentino, Helenice de O; de Araujo, Silvio Alexandre. A review of mathematical optimization models applied to the sugarcane supply chain [J], International Transactions in Operational Research, 2023, 30(4): 1755-1788. |
| [5] | 魏学勇, 关于甘蔗制糖企业工控系统网络安全纵深防御体系构建与实现 [J],甘蔗糖业, 2021, 50(2): 115-120. |
| [6] | 潘莉莉, 石宝雄等, 甘蔗收获机械化的制糖工艺思考 [J],甘蔗糖业, 2020, 6(3): 1-6. |
| [7] | Aliano Filho, Angelo; A. Oliveira, Washington; Melo, Teresa. Multi-objective optimization for integrated sugarcane cultivation and harvesting planning [J], European Journal of Operational Research, 2023, 309(1): 330-344. |
| [8] | 冯德鸿, 带损失率约束的甘蔗企业生产计划模型与算例研究 [J].应用数学进展, 2021, (9): 3129-3133. |
| [9] | 冯德鸿, 基于二次规划建模的甘蔗企业生产计划与算例研究 [J].中国糖料, 2022, 44(2): 85-88. |
| [10] | 陈优强, 甘蔗品种砍收后蔗糖分转化及蔗糖转化率的建立 [J].甘蔗糖业, 1999, 6(3): 19-22. |
| [11] | 谭芳, 莫磊兴等. 甘蔗砍收后品质变化情况分析 [J].安徽农业科学, 2008, 36(25): 10817-10819. |
| [12] | 蒋春云, 王伦旺等, 广西甘蔗品种 (系) 2019年区试柳城点新植试验初报 [J].中国种业, 2021, 1(1): 79-82. |
| [13] | 王先, 赵先笔等, 国家第14轮甘蔗品种区试德宏点综合评价 [J].甘蔗糖业, 2022, 51(3): 14-19. |
| [14] | 钱文英, 李嫒甜等, 云南省第16轮甘蔗品种区试德宏点评价 [J]. 甘蔗糖业, 2022, 51(5): 6-13. |
| [15] | 李艳艳.0-1规划问题的连续化方法研究及应用 [D]: [博士学位论文] 大连: 大连理工大学, 2009: 44-45. |
| [16] | 张雄, 周济.基于内点二次规划的最优化方法 [J].华中理工大学学报, 1995, 23(9): 1-5. |
| [17] | 雍龙泉.二次规划的算法研究 [D]: [硕士学位论文] 西安: 西安电子科技大学, 2005: 15-20. |
| [18] | 王瑞, 陈伟.二次0-1规划问题的全局最优条件 [J].应用数学与计算数学学报, 2018, 32(3): 541-552. |
| [19] | 唐冲.基于Matlab的非线性规划问题的求解 [J].计算机与数字工程, 2013, 41(7): 1100-1102, 1185. |
| [20] | 司守奎, 孙玺菁. LINGO软件及应用 [M].国防工业出版社, 2017年5月: 100-114. |