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Yao, David D.; Buzacott, J. A.

The exponentialization approach to flexible manufacturing system models with general processing times. (English) Zbl 0601.90070

Eur. J. Oper. Res. 24, 410-416 (1986).
Recently flexible manufacturing systems (FMSs) have been modelled as closed networks of queues. In this paper we develop an exponentialization approach to the modeling of FMS networks with general processing times. The idea of the approach is to transform the network into an (approximately) equivalent exponential network, where each station has exponential processing times with state-dependent rates. The approach is formulated as a fixed-point problem. Numerical examples have indicated excellent accuracies of the approach. This approach can also be readily adapted to accommodate limited local buffers and dynamic parts routing.

Cited in 8 Documents

MSC:

90B30 Production models
90B22 Queues and service in operations research
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)
60K25 Queueing theory (aspects of probability theory)
90B10 Deterministic network models in operations research

Keywords:

general service-time distribution; flexible manufacturing systems; closed networks of queues; exponentialization approach; limited local buffers; dynamic parts routing
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\textit{D. D. Yao} and \textit{J. A. Buzacott}, Eur. J. Oper. Res. 24, 410--416 (1986; Zbl 0601.90070)
Full Text: DOI

References:

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