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应用数学学报  1993, Vol. 16 Issue (4): 462-472    DOI:
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一类非线性整数规则及其应用
屈超纯, 戴正德
云南应用数学研究所, 昆明 650091
A CLASS OF NONLINEAR INTEGER PROGRAMMING AND APPLICATION
QU CHAO-CHUN, DAI ZHENG-DE
Institute of Applied Mathematics Yunnan Province, Kunming 650091
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摘要 设某县有中学n所,记为S1,S2…,Si…,Sn,Si校在校生M(i)人,教师Xi人.
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屈超纯
戴正德
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Abstract: In this paper we consider a nonlinear integer programming problem, arising from educational investments. By introducing a rudimental transformation, we discuss the properties of a set of all solutions to the problem and obtain a sufficient and necessary condition under which a vector is a solution of the problem. By means of the rudimental transformation a method to solve this problem is given. At the end we give an example and discuss the time-complexity of computation for this problem. Using the method in this paper, another problem similar to the above can be solved, for example, that of agricultural investements for planting.
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收稿日期: 1990-10-05;
引用本文:   
屈超纯,戴正德. 一类非线性整数规则及其应用[J]. 应用数学学报, 1993, 16(4): 462-472.
QU CHAO-CHUN,DAI ZHENG-DE. A CLASS OF NONLINEAR INTEGER PROGRAMMING AND APPLICATION[J]. Acta Mathematicae Applicatae Sinica, 1993, 16(4): 462-472.
 
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