D. Golenko-ginzburg et Z. Laslo, Timing control points via simulation for production systems under random disturbances, MATH COMP S, 54(6), 2001, pp. 451-458
The paper deals with the problem of production control with disturbances. T
he problem is applied to semi-automated production systems where the advanc
ement of the process cannot be measured continuously but only in preset con
trol (inspection) points. It is assumed that the production process can be
simulated within a time interval of arbitrary size. Given the target amount
needed, the due date, the routine control point, the actual accumulated pr
oduction observed at that point, and the preset confidence probability (cha
nce constraint) of meeting the deadline on time, the decision-maker has to
determine the next control point. On-line control has to be carried out as
rarely as possible but without missing the moment when the tendency to devi
ate from the planned trajectory may endanger meeting the due date on time u
nder a chance constraint. Determining the next control point is carried out
via simulation with a constant time step. At each intermediate check-point
, decision-making based on sequential statistical analysis has to be undert
aken, either.
(a) to proceed further and to examine the next check-point; or
(b) to determine the check-point under consideration as the last moment bef
ore the production process deviates from its target subject to the chance c
onstraint. Thus, the next routine control point is determined. (C) 2001 IMA
CS. Published by Elsevier Science B.V. All rights reserved.