Lot sizing with randomly graded yields
成果类型：
Article
署名作者：
Nahmias, S; Moinzadeh, K
署名单位：
Santa Clara University; University of Washington; University of Washington Seattle
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.45.6.974
发表日期：
1997
页码：
974-986
关键词：
摘要：
We consider a single inventory item that is graded into one of two quality levels after production. The proportion of grade one units produced in a lot is a random variable assumed to follow the lognormal distribution. Demands for grade 2 may be filled with grade I product, but not vice versa. Assuming that demands for the two grades are known and constant, we develop a continuous review model in which cycles are defined as times when total inventory equals zero. Since grade 1 inventory may be depicted before total stock and shortages are not permitted, cycles may consist of multiple set-ups. We shaw that the optimal order-to-point, S, has a form similar to the EOQ. Tables of the CDF of an appropriately defined unit normal multivariate distribution are incorporated into a spreadsheet to facilitate calculations for any parameter setting.