Date of Award
Doctor of Philosophy
Industrial and Manufacturing Systems Engineering
H. T. David
Production systems with blocking, of both lineal and confluent type, are analyzed both by deterministic and Markovian models. In the lineal deterministic analysis, we consider the transient behavior of systems, particularly with respect to the transiency of blocking times and flow times, and identify a certain lock-step phenomenon as well as a certain discontinuity phenomenon. For the lineal Markov analysis, periodicity of the pertinent embedded chain is verified, and used to efficiently obtain asymptotic flow rate, stage blocking times, and flow time. Results are used to study the consequences of random service time variability; it is also suggested that optimality conclusions will depend on the performance measure considered. The analysis of confluent systems is limited to the case of two sub-assembly lines feeding into an assembly. Both the deterministic and Markovian analysis of lineal systems are naturally extended to confluent systems of this type.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Woo, Hoon-Shik, "On deterministic and Markovian production systems " (1993). Retrospective Theses and Dissertations. 10785.