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Integration of mathematical programming with constraint programming for multi-objective planning and scheduling

GONG Jing1,*   

  1. 1. School of Emergency Management, Jinan University, Guangzhou 510632, China
  • Received:2014-11-19 Online:2016-03-15 Published:2016-03-15

Abstract:

Planning and scheduling, a NP-hard problem, can be viewed as a decision-making process of allocating limited resources to tasks over time with the goal of optimizing a certain objective. Neither mathematical programming nor constraint programming can solve it in the reasonable time. Minimum cost, minimum makespan and minimum tardiness are three classical objectives for this problem. The requirements from a real world application might be that several goals need to be achieved simultaneously. Based on Benders decomposition approach, this paper proposed an algorithm integrating  mathematical programming and constraint programming for solving multi-objective planning and scheduling.

Key words:  multiple-objective planning and scheduling, mathematical programming, constraint programming, Benders decomposition