This paper reviews the literature on quantitatively-oriented approache
s for determining lot sizes when production or procurement yields are
random. We discuss issues related to the modeling of costs, yield unce
rtainty, and performance in the context of systems with random yields.
We provide a review of the existing literature, concentrating on desc
riptions of the types of problems that have been solved and important
structural results. We identify a variety of shortcomings of the liter
ature in addressing problems encountered in practice, and suggest dire
ctions for future research.