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THROUGHPUT ANALYSIS OF TWO-STAGE MANUFACTURING SYSTEMS WITH MERGE AND BLOCKING
THROUGHPUT ANALYSIS OF TWO-STAGE MANUFACTURING SYSTEMS WITH MERGE AND BLOCKING
Journal of applied mathematics & informatics. 2015. Jan, 33(1_2): 77-87
  • Received : July 03, 2014
  • Published : January 30, 2015
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Shin Yang Woo
Moon Dug Hee

Abstract
Parallel lines are often used to increase production rate in many manufacturing systems where the main line splits into several lines in parallel, and after some operations, they merge into a main line again. Queueing networks with finite buffers have been widely used for modeling and analyzing manufacturing systems. This paper provides an approximation technique for multi-server two-stage networks with merge configuration and blocking which will be a building block for analysis of general manufacturing systems with parallel lines and merge configuration. The main idea of the method is to decompose the original system into subsystems that have two service stations with multiple servers, two buffers and external arrivals to the second stage are allowed. The subsystems are modeled by level dependent quasi-birth-and-death (LDQBD) process.
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