A Specific Branch-and-Bound Method

Abstract

In the last chapter we proposed different linearisations for the DOMP which resulted in tight formulations models. Due to the huge computing time and memory requirements when these models are used for solving the DOMP with a standard mathematical programming software (in our case, ILOG CPLEX 6.6), see Appendix B.2, large instances could not be solved. Thus, in this chapter, we derive a specific branch-and-bound (B&B) algorithm which takes advantage of the structure of the problem, see Boland et al. [6]. Exhaustive information about the branching and the bounding schemes is presented. Finally, computational results are reported to show the effectiveness of the B&B method, and a statistical analysis is presented to compare the behaviour of its performance on different types of problems (depending on the A vector).