This paper introduced the new combined algorithm which including pattern search method and the filter method to solve the multilevel programming problems. The filter method offered us an acceptance rule and the pattern search method provided us the iteration directions and step length. Owing to the mixed method with a pattern search and filter method, the algorithm can solve a kind of multilevel programming problems efficiently.
['Yinhong Dong', 'Zhongping Wan']
A Pattern Search Filter Method for Bilevel Programming Problems