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

Oscar Salviano Silva Filho

2011

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.

References

  1. Ahiska, S. S., King, R., 2010. Inventory optimization in a one product recoverable manufacturing system, Int. J. Production Economics, 124, pages: 11-19.
  2. Ahiska, S. S., King, R., 2010. Inventory optimization in a one product recoverable manufacturing system, Int. J. Production Economics, 124, pages: 11-19.
  3. Bertsekas, D. P., 2007. Dynamic programming and optimal control, Athena Scientific, Volume 1, USA.
  4. Bertsekas, D. P., 2007. Dynamic programming and optimal control, Athena Scientific, Volume 1, USA.
  5. DasGupta A., 2010. Fundamentals of probability: a First course, Springer Texts in Statistics, Springer, chapter. 10, pages: 229-231.
  6. DasGupta A., 2010. Fundamentals of probability: a First course, Springer Texts in Statistics, Springer, chapter. 10, pages: 229-231.
  7. Dobos, I., 2003. Optimal production-inventory strategies for HMMS-type reverse logistics system, Int. J. Production Economics, 81-82, 351-360.
  8. Dobos, I., 2003. Optimal production-inventory strategies for HMMS-type reverse logistics system, Int. J. Production Economics, 81-82, 351-360.
  9. Fleischman, M., Bloemhof-Ruwaard, J. M., Dekker, R., Van der Laan, E., Van Nunen, Jo A. E. E., and Van Wassenhove, L. N., 1997. Quantitative models for reverse logistics: A review, European Journal of Operational Research, 103, 1-17.
  10. Fleischman, M., Bloemhof-Ruwaard, J. M., Dekker, R., Van der Laan, E., Van Nunen, Jo A. E. E., and Van Wassenhove, L. N., 1997. Quantitative models for reverse logistics: A review, European Journal of Operational Research, 103, 1-17.
  11. Graves, S. C., 1999. A single-item inventory model for a non-stationary demand process, Manufacturing & Service Operations Management, Vol. 1, No 1.
  12. Graves, S. C., 1999. A single-item inventory model for a non-stationary demand process, Manufacturing & Service Operations Management, Vol. 1, No 1.
  13. Inderfurth, K., 2005. Impact of uncertainties on recovery behavior in a remanufacturing environment, International Journal of Physical Distribution & Logistics Management, Vol. 3 No. 5, pp. 318-336.
  14. Inderfurth, K., 2005. Impact of uncertainties on recovery behavior in a remanufacturing environment, International Journal of Physical Distribution & Logistics Management, Vol. 3 No. 5, pp. 318-336.
  15. Nakashima, K., Arimitsu, H. Nose, T., Kuriyama, S., 2004. Optimal control f a remanufacturing system, Int. J. of Production Research, Vol. 42, No. 17, pp. 3619- 3625.
  16. Nakashima, K., Arimitsu, H. Nose, T., Kuriyama, S., 2004. Optimal control f a remanufacturing system, Int. J. of Production Research, Vol. 42, No. 17, pp. 3619- 3625.
  17. Pereira, F. B., De Sousa, J. B., 1997. On the receding horizon hierarchical optimal control of manufacturing systems, Journal of Intelligent manufacturing, 8, 425- 433.
  18. Pereira, F. B., De Sousa, J. B., 1997. On the receding horizon hierarchical optimal control of manufacturing systems, Journal of Intelligent manufacturing, 8, 425- 433.
  19. Shi J., Zhang G., Sha J., 2011. Optimal production planning for a multi-product closed loops system with uncertain demand and return, Computers & Operations Research, 38, 641-650.
  20. Shi J., Zhang G., Sha J., 2011. Optimal production planning for a multi-product closed loops system with uncertain demand and return, Computers & Operations Research, 38, 641-650.
  21. Roy A., Maity K., Kar S., Maiti, M., 2009. A productioninventory model with manufacturing for defective and usable items in fuzzy-environment, Computers & Industrial Engineering, 59, 87-96.
  22. Roy A., Maity K., Kar S., Maiti, M., 2009. A productioninventory model with manufacturing for defective and usable items in fuzzy-environment, Computers & Industrial Engineering, 59, 87-96.
  23. Wei, C., Li Y., Cai, X., 2010. Robust optimal policies of production and inventory with uncertain returns and remand, International Journal of Production Economics, doi: 10.1016.
  24. Wei, C., Li Y., Cai, X., 2010. Robust optimal policies of production and inventory with uncertain returns and remand, International Journal of Production Economics, doi: 10.1016.
Download


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 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 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


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