A computational study on the Maximum-Weight Bounded-Degree Rooted Tree Problem

作者:

Highlights:

• This paper studies the Maximum-Weight Bounded-Degree Rooted Tree Problem from the computational aspect.

• Basic models and enhanced constraints are introduced for compact and extended models.

• Separation problems and algorithms are studied for each family of constraints.

• Several branch-and-cut frameworks are proposed and tested to compare the performance.

• Enhanced formulations show superior performance in computational simulation.

摘要

•This paper studies the Maximum-Weight Bounded-Degree Rooted Tree Problem from the computational aspect.•Basic models and enhanced constraints are introduced for compact and extended models.•Separation problems and algorithms are studied for each family of constraints.•Several branch-and-cut frameworks are proposed and tested to compare the performance.•Enhanced formulations show superior performance in computational simulation.

论文关键词:Bounded-degree rooted tree,Branch-and-cut algorithm,Separation

论文评审过程:Received 12 November 2020, Revised 22 April 2021, Accepted 22 August 2021, Available online 7 September 2021, Version of Record 7 September 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126623