Jm. Proth et N. Sauer, CHIP MANUFACTURING - MATCHING PRODUCTION PLAN WITH CUSTOMER REQUIREMENTS, IEEE transactions on components, packaging, and manufacturing technology. Part A, 17(3), 1994, pp. 446-451
Manufacturing chips is a long process that starts by deciding how many
chips of each type a wafer to be launched in production must contain
in order to meet customer requirements. The total number of chips per
wafer is constant, and any mix of chip types is allowed on a wafer. Tw
o levels of failure may arise during the manufacturing process, namely
1) the ones that result in rejecting a wafer and, as a consequence, a
ll the chips contained in this wafer, and 2) the failures that result
in rejecting chips individually. We know the probability of a wafer to
fail, as well as the probability of a chip of any type to be rejected
. The goal is to minimize the number of wafers to launch in production
in order to meet the customer requirements with a given probability.
In this paper, we propose an efficient heuristic algorithm that leads
to a near-optimal solution. Several numerical examples illustrate this
algorithm.