IEEE Access (Jan 2019)

Comparative Analysis of Mixed Integer Programming Formulations for Single-Machine and Parallel-Machine Scheduling Problems

  • Kuo-Ching Ying,
  • Chen-Yang Cheng,
  • Shih-Wei Lin,
  • Chia-Yang Hung

DOI
https://doi.org/10.1109/ACCESS.2019.2947685
Journal volume & issue
Vol. 7
pp. 152998 – 153011

Abstract

Read online

This study evaluates various Mixed Integer Programming (MIP) formulations for solving single-machine and parallel-machine scheduling problems, with the objective of minimizing the total completion time and the makespan of jobs. Through extensive numerical study, the MIP formulation, which is suitable for dealing with each specific single-machine or parallel-machine scheduling problem, is identified. Benchmarks are also provided for the development of other algorithms for future research.

Keywords