Enhancing Branch-and-Bound Algorithms for Order Acceptance and Scheduling with Genetic Programming

  • Su Nguyen
  • Mengjie Zhang
  • Mark Johnston
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8599)


Order acceptance and scheduling (OAS) is an important planning activity in make-to-order manufacturing systems. Making good acceptance and scheduling decisions allows the systems to utilise their manufacturing resources better and achieve higher total profit. Therefore, finding optimal solutions for OAS is desirable. Unfortunately, the exact optimisation approaches previously proposed for OAS are still very time consuming and usually fail to solve the problem even for small instances in a reasonable computational time. In this paper, we develop a new branch-and-bound (B&B) approach to finding optimal solutions for OAS. In order to design effective branching strategies for B&B, a new GP method has been proposed to discover good ordering rules. The results show that the B&B algorithms enhanced by GP can solve the OAS problem more effectively than the basic B&B algorithm and the CPLEX solver on the Mixed Integer Linear Programming model.


genetic programming scheduling branch-and-bound 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Su Nguyen
    • 1
  • Mengjie Zhang
    • 1
  • Mark Johnston
    • 1
  1. 1.Evolutionary Computation Research GroupVictoria University of WellingtonWellingtonNew Zealand

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