Multiple Time Scale Analysis of Manufacturing Systems

  • RESTRiCTIVE MARKINGS, Adam Carornicoli

Abstract

In this paper we use results on the aggregation of singularly perturbed Markov chains to analyze manufacturing systems. The basis for this analysis is the presence % in the system of events and processes that occur at markedly different ratesoperations on machines, set-ups, failures, and repairs, etc. The result of the analysis S is a set of models, each fax simpler than the full model, describing system behavior over different time horizons. In addition, we present a new theoretical result on the computation of asymptotic rates of particular events in perturbed Markov processes, where an "event" may correspond to the occurrence of one of several transitions in the process. We may apply this result to compute effective production rates at • different time scales, taking into account the occurrence of setups and failures. 5'. 'Laboratory for Information and Decision Systems, M.LT., Cambridge, MA 02139. The work of IN? these authors was supported by the Air Force Office of Scientific Research under Grant AFOSR-88-% 0032, and in part by the Army Research Office under Grant DAAL03-86-K-0171. The work of the %5 first author was also supported in part by an NSERC of Canada Fellowship. ." 'Laboratory for Manufacturing Productivity, M.I.T., Cambridge, MA 02139. The work of this e author was supported by the National Science Foundation under a subcontract from Boston University on Grant DMC-8615560. %S S2 25 062 0 'p..5 ...... .. . . • ... . ., %. ... .. .. .. ,. . . .. ,. .. ..-...... , , .. %-% , % % -. %. . -. .. . -. % % . 55.,' .-. q° . ," e . ,-,.-. . ., . .. . , .-,...-.'. . -,.,.• ", , . , 'w, e -4" -".'-' q "A ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~6 %TR .P10 . ' 1'1WV~~(~~ w'*U* Nr .* 'k %M.1 V, N_ L_._ *

Cite this paper

@inproceedings{MARKINGSMultipleTS, title={Multiple Time Scale Analysis of Manufacturing Systems}, author={RESTRiCTIVE MARKINGS and Adam Carornicoli} }