Impact of uncertainty in the quality of returns on the profitability of a single-period refurbishing operation.

*(English)*Zbl 1128.90008Summary: This paper investigates how the profitability of reuse activities is affected by uncertainty regarding the quality of returned products. Specifically, we examine a reverse supply chain consisting of two collection sites and a refurbishing site, which faces stochastic demand for refurbished products in a single-period setting. The quality of returns (refurbishing yield) becomes known only after the transportation of the products to the refurbishing site. We prove that the expected profit function has a unique optimal solution (procurement and production quantities) and we derive the conditions under which it is optimal to use only one of the collection sites. The analysis is supported by numerical results which provide insights regarding the effect of the uncertain yields at the two collection sites and their correlation on optimal decisions and system profitability.

##### MSC:

90B05 | Inventory, storage, reservoirs |

90B06 | Transportation, logistics and supply chain management |

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\textit{C. Zikopoulos} and \textit{G. Tagaras}, Eur. J. Oper. Res. 182, No. 1, 205--225 (2007; Zbl 1128.90008)

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##### References:

[1] | Bassok, Y.; Akella, R., Ordering and production decisions with supply quality and demand uncertainty, Management science, 37, 12, 1556-1574, (1991) · Zbl 0729.91010 |

[2] | Davey, S.; Guide, V.D.R.; Neeraj, K.; Van Wassenhove, L.N., Commercial returns of printers: the HP case, (), 87-96 |

[3] | Debo, L.G.; Savaskan, R.C.; Van Wassenhove, L.N., Coordination in closed-loop supply chains, (), 295-311 |

[4] | Debo, L.G.; Van Wassenhove, L.N., Tire recovery: the retreadco case, (), 119-128 |

[5] | () |

[6] | Ferrer, G., Yield information and supplier responsiveness in remanufacturing operations, European journal of operational research, 149, 540-556, (2003) · Zbl 1033.90027 |

[7] | Ferrer, G.; Ketzenberg, M.E., Value of information in remanufacturing complex products, IIE transactions, 36, 265-277, (2004) |

[8] | Fleischmann, M., Reverse logistics network structures and design, (), 117-148 |

[9] | Geyer, R.; Neeraj, K.; Van Wassenhove, L.N., Reverse logistics in an electronics company: the NEC-CI case, (), 33-39 |

[10] | Guide, V.D.R.; Neeraj, K.; Newman, C.; Van Wassenhove, L.N., Cellular telephone reuse: the recellular inc. case, (), 151-156 |

[11] | Guide, V.D.R.; Souza, G.C.; Van Wassenhove, L.N.; Blackburn, J.D., Time value of commercial product returns, Management science, 52, 8, 1200-1214, (2006) · Zbl 1232.90145 |

[12] | Henig, M.I.; Levin, N., Joint production planning and product delivery commitments with random yield, Operations research, 40, 2, 404-409, (1992) · Zbl 0825.90518 |

[13] | Khouja, M., The single period (news-vendor) problem: literature review and suggestions for future research, Omega, 27, 537-553, (1999) |

[14] | Kuik, R.; Van Nunen, J.A.E.E.; Coenen, J., Commercial returns of Sun-protection products: the L’oréal France case, (), 79-86 |

[15] | Lee, H.L.; Yano, C.A., Production control in multistage systems with variable yield losses, Operations research, 36, 2, 269-278, (1988) · Zbl 0642.90046 |

[16] | Min, H.; Ko, H.J.; Ko, C.S., A genetic algorithm approach to developing the multi-echelon reverse logistics network for product returns, Omega, 34, 56-69, (2006) |

[17] | Olkin, I.; Liu, R., A bivariate beta distribution, Statistics & probability letters, 62, 407-412, (2003) · Zbl 1116.60309 |

[18] | Parlar, M.; Wang, D., Diversification under yield randomness in inventory models, European journal of operational research, 66, 52-64, (1993) · Zbl 0795.90013 |

[19] | Robotis, A.; Bhattacharya, S.; Van Wassenhove, L.N., The effect of remanufacturing on procurement decisions for resellers in secondary markets, European journal of operational research, 163, 3, 688-705, (2005) · Zbl 1071.90509 |

[20] | Shih, W., Optimal inventory policies when stockouts result from defective products, International journal of production research, 18, 6, 677-686, (1980) |

[21] | Teunter, R.H.; Vlachos, D., On the necessity of a disposal option for returned items that can be remanufactured, International journal of production economics, 75, 257-266, (2002) |

[22] | Thierry, M.; Salomon, M.; Van Nunen, J.; Van Wassenhove, L., Strategic issues in product recovery management, California management review, 37, 2, 114-135, (1995) |

[23] | Tong, Y.L., Probability inequalities in multivariate distributions, (1980), Academic Press New York · Zbl 0455.60003 |

[24] | Yano, C.A.; Lee, H.L., Lot sizing with random yields: a review, Operations research, 43, 2, 311-334, (1995) · Zbl 0832.90031 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.