# AN OPEN-LOOP SOLUTION FOR A STOCHASTIC PRODUCTION-REMANUFACTURING PLANNING PROBLEM

### Oscar Salviano Silva Filho

#### Abstract

A stochastic linear production planning problem with chance-constraints is introduced in order to provide a production plan that optimizes a reverse logistics system. Such a system is composed of two channels: in the forward channel, new and remanufactured products are produced and stored into a serviceable inventory unit. On the other hands, in the reverse channel, used and defected products are stored into the remanufacturable inventory unit. The uncertainties about the fluctuation of demand and the amount of returnable are the reason of the stochastic nature of the problem. Since global optimal solution is not easy to be achieved, an equivalent-deterministic suboptimal problem is proposed. An example of applicability of this deterministic problem is presented. In this example, two situations are proposed: the first considers that 50% of used-products are returnable; while the second considers 100%. It is assumed that 5% of new products are rejected during the quality inspection process. As a result, the example shows that, under certain circumstances, it is possible to improve the performance of the system by increasing the return rate for used-products.

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#### Paper Citation

#### in Harvard Style

Silva Filho O. (2011). **AN OPEN-LOOP SOLUTION FOR A STOCHASTIC PRODUCTION-REMANUFACTURING PLANNING PROBLEM** . In *Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,* ISBN 978-989-8425-75-1, pages 369-378. DOI: 10.5220/0003542103690378

#### in Bibtex Style

@conference{icinco11,

author={Oscar Salviano Silva Filho},

title={AN OPEN-LOOP SOLUTION FOR A STOCHASTIC PRODUCTION-REMANUFACTURING PLANNING PROBLEM},

booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},

year={2011},

pages={369-378},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003542103690378},

isbn={978-989-8425-75-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,

TI - AN OPEN-LOOP SOLUTION FOR A STOCHASTIC PRODUCTION-REMANUFACTURING PLANNING PROBLEM

SN - 978-989-8425-75-1

AU - Silva Filho O.

PY - 2011

SP - 369

EP - 378

DO - 10.5220/0003542103690378