In this paper we introduce the Personnel Task Scheduling Problem (PTSP) and provide solution algorithms for a variant of this problem known as the Shift Minimisation Personnel Task Scheduling Problem (SMPTSP). The PTSP is a problem in which a set of tasks with fixed start and finish times have...

In this paper we apply stochastic dual dynamic programming decomposition to a nonconvex multistage stochastic hydrothermal model where the nonlinear water head effects on production and the nonlinear dependence between the reservoir head and the reservoir volume are modeled. The nonconvex...

In this paper we consider the following problem: a Company wants to sell consecutive time slots on a single machine. It wants to maximize the revenues, whereby market prizes are not known. Additionally, consider a number of potential buyers of those time slots providing each at least one job....

Although the possibility to combine column generation and Lagrangian relaxation has been known for quite some time, it has only recently been exploited in algorithms. In this paper, we discuss ways of combining these techniques. We focus on solving the LP relaxation of the Dantzig-Wolfe master...

Although the possibility to combine column generation and Lagrangian relaxation has been known for quite some time, it has only recently been exploited in algorithms. In this paper, we discuss ways of combining these techniques. We focus on solving the LP relaxation of the Dantzig-Wolfe master...

In this paper we consider the following problem: a Company wants to sell consecutive time slots on a single machine. It wants to maximize the revenues, whereby market prizes are not known. Additionally, consider a number of potential buyers of those time slots providing each at least one job....