Most systems are characterized by uncertainties that cause throughput to be highly variable, for example, many modern production processes and services are substantially affected by random yields. When yield is random, not only is the usable quantity uncertain, but the random yield reduces usable capacity and throughput in the system. For these reasons, strategies are needed that incorporate random yield. This paper presents the analysis of the newsvendor model with a general random yield distribution, including the derivation of the optimal order quantity. Results are shown to converge to the basic newsvendor model for the case of perfect yield, and are further demonstrated using the case of general multiplicative random yield. Results have significant impact on both manufacturing and service sectors since the newsvendor model applies to many real-world situations.
Mots clés : newsvendor model, operations management, planning and control, random yield
@article{RO_2007__41_4_455_0, author = {Grasman, Scott E. and Sari, Zaki and Sari, Tewfik}, title = {Newsvendor solutions with general random yield distributions}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {455--464}, publisher = {EDP-Sciences}, volume = {41}, number = {4}, year = {2007}, doi = {10.1051/ro:2007031}, mrnumber = {2361296}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro:2007031/} }
TY - JOUR AU - Grasman, Scott E. AU - Sari, Zaki AU - Sari, Tewfik TI - Newsvendor solutions with general random yield distributions JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2007 SP - 455 EP - 464 VL - 41 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro:2007031/ DO - 10.1051/ro:2007031 LA - en ID - RO_2007__41_4_455_0 ER -
%0 Journal Article %A Grasman, Scott E. %A Sari, Zaki %A Sari, Tewfik %T Newsvendor solutions with general random yield distributions %J RAIRO - Operations Research - Recherche Opérationnelle %D 2007 %P 455-464 %V 41 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro:2007031/ %R 10.1051/ro:2007031 %G en %F RO_2007__41_4_455_0
Grasman, Scott E.; Sari, Zaki; Sari, Tewfik. Newsvendor solutions with general random yield distributions. RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 4, pp. 455-464. doi : 10.1051/ro:2007031. http://www.numdam.org/articles/10.1051/ro:2007031/
[1] The Economics of Yield Driven Processes. J. Oper. Manage. 19 (1999) 41-59.
and ,[2] Myopic Heuristics For the Random Yield Problem. Oper. Res. 47 (1999) 713-722. | Zbl
, and ,[3] Periodic Review Production Models with Variable Yield and Uncertain Demand. IIE Trans. 20 (1988) 144-150.
, and ,[4] Managing a Deteriorating Process in a Batch-Production Environment. IIE Trans. 27 (1993) 233-243.
and ,[5] Capacitated Multiple Product Systems with Random Yield. Working Paper.
,[6] Setting Basestock Levels in Multiproduct Systems with Setups and Random Yield. IIE Trans. (to appear).
, and ,[7] Multiple Lotsizing in Production to Order with Random Yields: A Review of Recent Advances. Ann. Oper. Res. 26 (2004) 43-69. | Zbl
and ,[8] The Structure of Periodic Review Policies in the Presence of Random Yield. Oper. Res. 38 (1990) 634-643. | Zbl
and ,[9] Stochastic Models in Operations Research, Vol. II: Stochastic Optimization. McGraw-Hill (1984). | Zbl
and ,[10] The Single-Period (Newsvendor) Problem: Literature Review and Suggestions for Future Research. OMEGA Int. J. Manag. Sci. 27 (1999) 573-553.
,[11] Optimal Inventory Policies When Stockouts Result From Defective Products. Int. J. Prod. Res. 18 (1980) 677-686.
,[12] Lot Sizing with Random Yields: A Review. Oper. Res. 43 (1995) 311-334. | Zbl
and ,Cité par Sources :