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http://dx.doi.org/10.9709/JKSS.2019.28.2.119

Spreadsheet Model Approach for Buffer-Sharing Line Production Systems with General Processing Times  

Seo, Dong-Won (School of Management and Management Research Institute, Kyung Hee University)
Abstract
Although line production systems with finite buffers have been studied over several decades, except for some special cases there are no explicit expressions for system performances such as waiting times(or response time) and blocking probability. Recently, a max-plus algebraic approach for buffer-sharing systems with constant processing times was introduced and it can lead to analytic expressions for (higher) moment and tail probability of stationary waiting. Theoretically this approach can be applied to general processing times, but it cannot give a proper way for computing performance measures. To this end, in this study we developed simulation models using @RISK software and the expressions derived from max-plus algebra, and computed and compared blocking probability, waiting time (or response time) with respect to two blocking policies: communication(BBS: Blocking Before Service) and production(BAS: Blocking After Service). Moreover, an optimization problem which determines the minimum shared-buffer capacity satisfying a predetermined QoS(quality of service) is also considered.
Keywords
@RISK; Blocking probability; Buffer-Sharing; Blocking Policy; Max-plus algebra; Waiting time;
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Times Cited By KSCI : 1  (Citation Analysis)
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