Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-28T01:02:06.215Z Has data issue: false hasContentIssue false
  • English
  • Français

Newsvendor solutions with general random yield distributions

Published online by Cambridge University Press:  11 October 2007

Scott E. Grasman ,
Zaki Sari  and
Tewfik Sari
Scott E. Grasman
Affiliation:
219 EMSE, University of Missouri - Rolla, Rolla, Missouri 65409-0370, USA; grasmans@umr.edu
Zaki Sari
Affiliation:
Laboratoire d'Automatique de Tlemcen, Faculté des Sciences de l'Ingénieur, Université Abou Bekr Belkaïd de Tlemcen, Algeria; z_sari@univ-tlemcen.edu
Tewfik Sari
Affiliation:
Mathematics, University of Mulhouse, France; t.sari@uha.fr
Get access

Abstract

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.

Keywords

Newsvendor modeloperations managementplanning and controlrandom yield
Type
Research Article
Information
RAIRO - Operations Research , Volume 41 , Issue 4 , October 2007 , pp. 455 - 464
Copyright
© EDP Sciences, ROADEF, SMAI, 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bohn, R.E. and Terwiesch, C., The Economics of Yield Driven Processes. J. Oper. Manage. 19 (1999) 41–59. CrossRef
Bollapragada, S., and Morton, T.E., Myopic Heuristics For the Random Yield Problem. Oper. Res. 47 (1999) 713–722. CrossRef
Gerchak, Y., Vickson, R.G. and Parlar, M., Periodic Review Production Models with Variable Yield and Uncertain Demand. IIE Trans. 20 (1988) 144–150. CrossRef
Gilbert, S. and Emmons, H., Managing a Deteriorating Process in a Batch-Production Environment. IIE Trans. 27 (1993) 233–243. CrossRef
S.E. Grasman, Capacitated Multiple Product Systems with Random Yield. Working Paper.
S.E. Grasman, T.L. Olsen and J.R. Birge, Setting Basestock Levels in Multiproduct Systems with Setups and Random Yield. IIE Trans. (to appear).
Grosfeld-Nir, A. and Gerchak, Y., Multiple Lotsizing in Production to Order with Random Yields: A Review of Recent Advances. Ann. Oper. Res. 26 (2004) 43–69. CrossRef
M. Henig and Y. Gerchak, The Structure of Periodic Review Policies in the Presence of Random Yield. Oper. Res. 38 (1990) 634–643.
D.P. Heyman and M.J. Sobel, Stochastic Models in Operations Research, Vol. II: Stochastic Optimization. McGraw-Hill (1984).
M. Khouja, The Single-Period (Newsvendor) Problem: Literature Review and Suggestions for Future Research. OMEGA Int. J. Manag. Sci. 27 (1999) 573–553.
Shih, W., Optimal Inventory Policies When Stockouts Result From Defective Products. Int. J. Prod. Res. 18 (1980) 677–686. CrossRef
Yano, C.A. and Lee, H.L., Lot Sizing with Random Yields: A Review. Oper. Res. 43 (1995) 311–334. CrossRef