# A Two-stage Stochastic Programming Model for the Resource Constrained Project Scheduling Problem under Uncertainty

### Maria Elena Bruni, Luigi Di Puglia Pugliese, Patrizia Beraldi, Francesca Guerriero

#### Abstract

Due to the increasing competitiveness of businesses, project planning and scheduling have become a challenging theme in the last years. In this paper, we propose a two-stage stochastic programming model for the resource constrained project scheduling problem, taking into account the stochasticity of activity durations. In this formulation, assuming that some activity duration scenarios are known, resource allocations are taken in the first stage, while scheduling decisions are postponed in the second stage. The resulting problem is a mixed integer problem with recourse, where binary variables appear in the first stage. In order to efficiently solve the problem, a decomposition algorithm is developed, based on the well-known integer L-shaped method. Detailed computational results are presented for a set of benchmark instances taken from the literature.

#### References

#### Paper Citation

#### in Harvard Style

Bruni M., Di Puglia Pugliese L., Beraldi P. and Guerriero F. (2018). **A Two-stage Stochastic Programming Model for the Resource Constrained Project Scheduling Problem under Uncertainty**.In *Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-285-1, pages 194-200. DOI: 10.5220/0006612601940200

#### in Bibtex Style

@conference{icores18,

author={Maria Elena Bruni and Luigi Di Puglia Pugliese and Patrizia Beraldi and Francesca Guerriero},

title={A Two-stage Stochastic Programming Model for the Resource Constrained Project Scheduling Problem under Uncertainty},

booktitle={Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2018},

pages={194-200},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006612601940200},

isbn={978-989-758-285-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - A Two-stage Stochastic Programming Model for the Resource Constrained Project Scheduling Problem under Uncertainty

SN - 978-989-758-285-1

AU - Bruni M.

AU - Di Puglia Pugliese L.

AU - Beraldi P.

AU - Guerriero F.

PY - 2018

SP - 194

EP - 200

DO - 10.5220/0006612601940200