Multi-state throughput analysis of a two-stage manufacturing system with parallel unreliable machines and a finite buffer
This paper models and analyzes the throughput of a two-stage manufacturing system with multiple independent unreliable machines at each stage and one finite-sized buffer between the stages. The machines follow exponential operation, failure, and repair processes. Most of the literature uses binary random variables to model unreliable machines in transfer lines and other production lines. This paper first illustrates the importance of using more than two states to model parallel unreliable machines because of their independent and asynchronous operations in the parallel system. The system balance equations are then formulated based on a set of new notations of vector manipulations, and are transformed into a matrix form fitting the properties of the Quasi-Birth–Death (QBD) process. The Matrix-Analytic (MA) method for solving the generic QBD processes is used to calculate the system state probability and throughput. Numerical cases demonstrate that solution method is fast and accurate in analyzing parallel manufacturing systems, and thus prove the applicability of the new model and the effectiveness of the MA-based method. Such multi-state models and their solution techniques can be used as a building block for analyzing larger, more complex manufacturing systems.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- TRAZNCREZ, Jean-Sébastien & SEMAL, Pierre & CHEVALIER, Philippe, .
"Histogram based bounds and approximations for production lines,"
CORE Discussion Papers RP
-2163, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Tancrez, Jean-Sbastien & Semal, Pierre & Chevalier, Philippe, 2009. "Histogram based bounds and approximations for production lines," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1133-1141, September.
- Pradhan, Salil & Damodaran, Purushothaman, 2009. "Performance characterization of complex manufacturing systems with general distributions and job failures," European Journal of Operational Research, Elsevier, vol. 197(2), pages 588-598, September.
- Sorensen, Kenneth & Janssens, Gerrit K., 2004. "A Petri net model of a continuous flow transfer line with unreliable machines," European Journal of Operational Research, Elsevier, vol. 152(1), pages 248-262, January.
- Tan, BarIs & Gershwin, Stanley B., 2009. "Analysis of a general Markovian two-stage continuous-flow production system with a finite buffer," International Journal of Production Economics, Elsevier, vol. 120(2), pages 327-339, August.
When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:219:y:2012:i:2:p:296-304. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.