-

 

 

 




Optimization Online





 

A Criterion Space Search Algorithm for Biobjective Mixed Integer Programming: the Boxed Line Method

Tyler Perini (perinita***at***gatech.edu )
Natashia Boland (natashia.boland***at***isye.gatech.edu )
Diego Pecin (diego.pecin***at***isye.gatech.edu )
Martin Savelsbergh (martin.savelsbergh***at***isye.gatech.edu )

Abstract: Despite recent interest in multiobjective integer programming, few algorithms exist for solving biobjective mixed integer programs. We present such an algorithm: the Boxed Line Method. For one of its variants, we prove that the number of single-objective integer programs solved is bounded by a linear function of the number of nondominated line segments in the nondominated frontier; this is the first such complexity result. An extensive computational study demonstrates that the Box Line Method is also efficient in practice, and that it outperforms existing algorithms on a diverse set of instances.

Keywords: multiobjective, integer programming, criterion space search

Category 1: Applications -- OR and Management Sciences

Citation: H. Milton Stewart School of Industrial and Systems Engineering Georgia Institute of Technology, Atlanta, 09/2017.

Download: [PDF]

Entry Submitted: 09/23/2017
Entry Accepted: 09/25/2017
Entry Last Modified: 12/08/2017

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society