A general model for batch building processes under the timeout and capacity rules

Schwarz, Justus Arne ; Stoll, Judith ; Özden, Eda

DOI: https://doi.org/10.1007/s10479-013-1398-0
URL: http://link.springer.com/article/10.1007%2Fs10479-...
Additional URL: https://stolletz.bwl.uni-mannheim.de/en/research/p...
Document Type: Article
Year of publication: 2015
The title of a journal, publication series: Annals of Operations Research
Volume: 231
Issue number: 1
Page range: 5-31
Place of publication: New York, NY [u.a.]
Publishing house: Springer Science + Business Media
ISSN: 0254-5330 , 1572-9338
Publication language: English
Institution: Business School > ABWL u. Produktion (Stolletz)
Subject: 330 Economics
Keywords (English): Batch building , Discrete-time modeling , Queueing theory , Stochastic finite elements
Abstract: In manufacturing systems, batch building processes are very common, as goods are often transported or processed in batches and must therefore be collected before these transport or processing steps can occur. In this paper, we present a method for the performance analysis of general batch building processes in material flow systems under the timeout and capacity rules. The proposed model allows for stochastic collecting times and incorporates no restrictions with respect to the number of arriving units and their interarrival times. The accuracy of the discrete-time approach is demonstrated by comparing this approach with a discrete-event simulation model in continuous-time. Subsequently, the model is applied to two cases: a transportation case from the health care industry and the process of building a batch for a batch processor.

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