The purpose of this paper is to view recent developments in non-von Ne
umann and Morgenstern utility functions (vNM) via a stationary statist
ical-economic model. Such a model is suggested in the literature for e
valuating robot precision, assuming that repeatability follows a Rayle
igh distribution. Various vNM and non-vNM utility forms are discussed
and illustrated for the robot evaluation and selection problem. The ap
proach suggested here may be applicable for companies operating under
profit centers where market systematic risk data are not available and
decisions are based on the decision maker's (DM) attitude toward risk
. Although the numerical illustrations demonstrate a consistency among
the expected profit measure for most utility forms that were investig
ated, the analysis provides an extended framework for dealing with ris
ky production problems. Furthermore, it illustrates the sensitivity of
robot operational decisions such as speed and of both the output rate
per time unit and the product quality to the DM's attitude toward ris
k. It allows the DM to analyze and explain decisions as affected by th
e selection of the utility form, as well as the technological and econ
omic parameters and measures describing the problem, particularly the
technical risk involved in the determination of a robot operational pr
oblem.