An algorithm for infinite-dimensional linear programming problems on Lp space

• Main Authors: Bo-JyunJian, 簡伯均
• Other Authors: Soon-Yi Wu
• Format: Others
• Language: en_US
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/35605374250240399546

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 98 === This thesis studies the infinite-dimensional linear programming problems of integral type. The decision variable is taken in the Lp space where 1＜p＜infty and required to have an upper bound and a lower bound by continuous functions on a compact interval. To simplify the original problems, we transform them to equivalent problems. Two numerical algorithms are proposed for solving these problems and the convergence properties of the algorithms are given. Some numerical examples are also given to implement the proposed algorithms.