{"title":"50个城市地区的平均玉米产量优化使用了Wolfe法的象限编程","authors":"Sariani Fitri, Helma Helma","doi":"10.24036/unpjomath.v8i2.14216","DOIUrl":null,"url":null,"abstract":"This research was an experimented research that purpose to form a mathematical model for optimizing average corn production in Fifty Cities District with the constraint that the harvested area should not be more than the planted area and solve the model with the Wolfe quadratic programming method. The model of mathematical in the research was a model by formed nonlinear using the method of least squares. Then use the Wolfe method to form a new linear objective function and constraints in the form of Karush Kuhn-Tucker conditions. The results showed that the optimal average corn production in Fifty Cities District was 49.00456 tons/Ha with an optimal corn harvest area of 656.256 Ha.","PeriodicalId":244588,"journal":{"name":"Journal of Mathematics UNP","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimasi Rata-rata Produksi Jagung di Kabupaten Limapuluh Kota Menggunakan Pemrograman Kuadratik Metode Wolfe\",\"authors\":\"Sariani Fitri, Helma Helma\",\"doi\":\"10.24036/unpjomath.v8i2.14216\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This research was an experimented research that purpose to form a mathematical model for optimizing average corn production in Fifty Cities District with the constraint that the harvested area should not be more than the planted area and solve the model with the Wolfe quadratic programming method. The model of mathematical in the research was a model by formed nonlinear using the method of least squares. Then use the Wolfe method to form a new linear objective function and constraints in the form of Karush Kuhn-Tucker conditions. The results showed that the optimal average corn production in Fifty Cities District was 49.00456 tons/Ha with an optimal corn harvest area of 656.256 Ha.\",\"PeriodicalId\":244588,\"journal\":{\"name\":\"Journal of Mathematics UNP\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics UNP\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24036/unpjomath.v8i2.14216\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics UNP","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24036/unpjomath.v8i2.14216","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本研究是一项实验研究，目的是在收获面积不大于种植面积的约束下，建立五城区玉米平均产量优化的数学模型，并采用Wolfe二次规划法对模型进行求解。所研究的数学模型是利用最小二乘法形成的非线性模型。然后利用Wolfe方法形成新的线性目标函数和Karush - Kuhn-Tucker条件形式的约束。结果表明:五城区玉米最佳平均产量为49.00456 t /Ha，最佳玉米收获面积为656.256 Ha;
Optimasi Rata-rata Produksi Jagung di Kabupaten Limapuluh Kota Menggunakan Pemrograman Kuadratik Metode Wolfe
This research was an experimented research that purpose to form a mathematical model for optimizing average corn production in Fifty Cities District with the constraint that the harvested area should not be more than the planted area and solve the model with the Wolfe quadratic programming method. The model of mathematical in the research was a model by formed nonlinear using the method of least squares. Then use the Wolfe method to form a new linear objective function and constraints in the form of Karush Kuhn-Tucker conditions. The results showed that the optimal average corn production in Fifty Cities District was 49.00456 tons/Ha with an optimal corn harvest area of 656.256 Ha.
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