Marcus
Oswald
Title:
A new approach for solving coupled task scheduling problems
Abstract:
The coupled task problem is to schedule jobs on a single machine
where each job consists of two subtasks and where the second subtask
has to be
started exactly after a given time gap with respect to the first
subtask. The
coupled task problem is NP-hard. We describe a new approach for solving
the
problem to optimality. Linear Ordering Variables for each pair of
subtasks
were introduced. Then the coupled task conditions can be modelled with
the
help of certain knapsack constraints.