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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Analysis
Of A Production-Inventory System With Unreliable Production Facility |
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Authors: |
Katrien Ramaekers, Gerrit K. Janssens |
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Published in:
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ECMS
2007 Proceedings Edited
by: Ivan
Zelinka, Zuzana Oplatkova, Alessandra Orsoni ISBN:
978-0-9553018-2-7 Doi:
10.7148/2007 21st European
Conference on Modelling and Simulation, Prague, June
4-6, 2007 |
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Citation
format: |
Ramaekers, K., & Janssens, G.
K. (2007). Analysis Of A Production-Inventory System With Unreliable
Production Facility. ECMS 2007 Proceedings edited by: I. Zelinka, Z.
Oplatkova, A. Orsoni (pp. 560-565). European Council
for Modeling and Simulation. doi:10.7148/2007-0560. |
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DOI: |
http://dx.doi.org/10.7148/2007-0560 |
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Abstract: |
This
paper tests the robustness of analytical results on performance measures for
a production-inventory system with an unreliable production facility. A ba-
sic model is considered which involves a single produc- tion machine with
constant production rate which op- erates as long as the accumulated inventory
is below a pre-set threshold, and is idle otherwise. The demand process
follows a compound Poisson distribution and the operating time of a machine
until failure as well as the repair time of a failed
machine are assumed to be exponentially distributed. A demand that
cannot be fully satisfied from existing inventory takes whatever is available
and the rest of the demand is lost. Ana- lytical results exist only for the
special case where the order sizes are exponentially distributed. In this
paper, a simulation model is built to obtain performance mea- sures for the
same production-inventory system facing other demand processes. These results
are used to test the robustness of the analytical results to changes in the
demand process. |
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