摘要
价格控制问题是一类重要的二层规划问题。最近,文[3,4]讨论了价格控制问题的最优性条件和解集的性质。本文先用反例说明[3]中关于价格控制问题的可行解的充分必要条件的一个命题是不确切的,并对[4]中基于该命题证得的不可靠结论在适当条件下进行了证明。
The price control problem is a kind of important Bilevel Linear Programming. Recently the optimality conditions and the properties of the solution set of the price control problem were discussed in papers [3,4]. In this paper, we show that a corollary on the necessary and sufficient condition for feasible solutions of the price control problem in [3] is not true by presenting a counterexample. Under proper conditions, we prove some important properties that had been proved in paper [4] based on the false corollary in [3].
出处
《应用数学与计算数学学报》
1998年第2期53-58,共6页
Communication on Applied Mathematics and Computation
