Le, Weiliang; Liu, Zhiyong; Wang, Zaiying The algorithm for mixed programming with upper bounded variables and its application to energy planning. (Chinese. English summary) Zbl 0565.90051 J. Xi’an Jiaotong Univ. 18, No. 4, 113-122 (1984). The idea of linear programming with upper bounded variables is introduced for mixed programs. A new algorithm for mixed programs with upper bounded variables is developed, which improves Benders’ decomposition method. The theoretical proof of the algorithm is given. By using this algorithm, a considerable amount of computing time and memory space can be saved. The new method has been applied to energy planning problems with good results. MSC: 90C11 Mixed integer programming 90B99 Operations research and management science 65K05 Numerical mathematical programming methods 90C90 Applications of mathematical programming 90C05 Linear programming Keywords:upper bounded variables; Benders’ decomposition; energy planning PDF BibTeX XML Cite \textit{W. Le} et al., J. Xi'an Jiaotong Univ. 18, No. 4, 113--122 (1984; Zbl 0565.90051)