W. Liu et M. Raghavachari, THE TARGET MEAN PROBLEM FOR AN ARBITRARY QUALITY CHARACTERISTIC DISTRIBUTION, International Journal of Production Research, 35(6), 1997, pp. 1713-1727
Citations number
16
Categorie Soggetti
Engineering,"Operatione Research & Management Science
We consider the general problem of determination of an optimal process
mean setting and the upper screening limit in relation to a fixed low
er limit for a canning problem when the amount of fill follows an arbi
trary continuous distribution. We show that the optimal upper limit is
given by a very simple formula regardless of the shape of the distrib
ution. We obtain a general condition to solve for the optimal process
mean. Some specific distributions considered in the paper include norm
al, truncated normal, and truncated logistic. Comparisons are made in
terms of the values of the optimal process mean, container rejection r
ate, and expected profit per fill attempt. Moreover, for any continuou
s fill distribution it is shown that a two-level control scheme with o
ptimal upper limit is always economically superior to a single level s
cheme.