Analytical solution of steady-state behavior of Bernoulli production line with two finite buffers

Hadžić, Neven and Tomić, Marko (2017) Analytical solution of steady-state behavior of Bernoulli production line with two finite buffers. = Analytical solution of steady-state behavior of Bernoulli production line with two finite buffers. Brodogradnja : časopis brodogradnje i brodograđevne industrije, 68 (3). pp. 85-102. ISSN 0007-215X. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q3 (2016). Točan broj autora: 2.

Preview

Text Analytical solution of steady state behavior of Bernoulli production line with two finite buffers.pdf - Published Version Jezik dokumenta:English Download (1MB) | Preview

Abstract

Production system engineering is strongly relied on mathematical models of systems under consideration and analytical solution of the problem has an important role in development and validation of more complex numerical tools. Analytical solution of steady-state behavior of serial Bernoulli production line with three machines and two buffers is considered in this paper based on Markov chain approach. Transition matrices in general case, including three machines with different probabilities of failure and arbitrary occupancy of two buffers, are formulated along with equations for performance measures. The developed theory is illustrated using four different serial Bernoulli lines and the obtained results are compared to those determined using semi- analytical approach via aggregation procedure. Finally, the existing discrepancies are analyzed and pointed out for five different levels of buffers occupancy. From general perspective, good agreement has been found for most of the results within the examined space of system states.

Item Type:	Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian):	Production system engineering ; Bernoulli reliability model ; Steady-state response ; Analytical solution
Subjects:	TECHNICAL SCIENCE > Shipbuilding
Divisions:	600 Department of Naval Engineering and Marine Technology > 620 Chair of Marine Structures Design
Indexed in Web of Science:	Yes
Indexed in Current Contents:	No
Quartiles:	Q3 (2016)
Date Deposited:	24 Oct 2017 13:41
Last Modified:	24 Oct 2017 13:41
URI:	http://repozitorij.fsb.hr/id/eprint/8091

Actions (login required)

View Item