A note on weak sharp minima in multicriteria linear programming*

作者：Li, Jun^*; Liu, Zhi-bin; Pan, Da-zhi

来源：Applied Mathematics Letters, 2012, 25(7): 1071-1076.

DOI：10.1016/j.aml.2012.03.020

• Multicriteria linear programming problem
• Weak sharp minima
• Residual function

In this note, the set of weak Pareto solutions of a multicriteria linear programming problem (MCLP, for short) is proved to be a set of weak sharp minima for another residual function of MCLP, i.e., the minimum of the natural residual functions of finitely many scalarization problems of MCLP, which is less than the natural residual function of MCLP. This can be viewed as a slight improvement of a result due to Deng and Yang. Some examples are given to illustrate these results.

• 出版日期2012-7
• 单位西华师范大学; 西南石油大学