Title
A Trust Region Method for the Solution of the Surrogate Dual in Integer Programming.
Abstract
We propose an algorithm for solving the surrogate dual of a mixed integer program. The algorithm uses a trust region method based on a piecewise affine model of the dual surrogate value function. A new and much more flexible way of updating bounds on the surrogate dual's value is proposed, in which numerical experiments prove to be advantageous. A proof of convergence is given and numerical tests show that the method performance is better than a state of the art subgradient solver. Incorporation of the surrogate dual value as a cut added to the integer program is shown to greatly reduce solution times of a standard commercial solver on a specific class of problems.
Year
DOI
Venue
2015
10.1007/s10957-014-0681-9
J. Optimization Theory and Applications
Keywords
DocType
Volume
Surrogate dual, Integer programming, Trust regions methods, Nonsmooth optimization, Primary 90C11, 90C25, Secondary 90C08
Journal
167
Issue
ISSN
Citations 
2
1573-2878
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Natashia Boland172667.11
Andrew C. Eberhard2111.89
Angelos Tsoukalas3776.51