Accession Number : ADA190044
Title : Multiple Time Scale Analysis of Manufacturing Systems.
Descriptive Note : Technical rept.,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS
Personal Author(s) : Willsky, Alan S ; Caromicoli, Adam ; Gershwin, Stanley B
PDF Url : ADA190044
Report Date : 01 Dec 1987
Pagination or Media Count : 13
Abstract : In this paper the authors 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 rates -- operations of machines, set-ups, failures, and repairs, etc. The result of the analysis is a set of models, each far simpler that the full model, describing system behavior over different time horizons. In addition, this document presents 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 the one 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.
Descriptors : *MARKOV PROCESSES, *SYSTEMS ENGINEERING, MACHINES, MANUFACTURING, PERTURBATIONS, PRODUCTION RATE, REPAIR, SCALE, TIME, TIME SERIES ANALYSIS, MATHEMATICAL MODELS
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE