Buffer allocation using exact linear programming formulations and sampling approaches

Stolletz, Raik ; Weiss, Sophie

DOI: https://doi.org/10.3182/20130619-3-RU-3018.00461
URL: http://www.sciencedirect.com/science/article/pii/S...
Additional URL: https://www.researchgate.net/publication/263864139...
Document Type: Conference or workshop publication
Year of publication: 2013
Book title: 7th IFAC Conference on Manufacturing Modelling, Management, and Control 2013
The title of a journal, publication series: IFAC Proceedings Volumes
Volume: 46,9
Page range: 1435-1440
Location of the conference venue: St. Petersburg, Russia
Date of the conference: 19.-21.06.2013
Publisher: Bakhtadze, Natalia
Place of publication: Amsterdam [u.a.]
Publishing house: Elsevier
ISBN: 978-3-902823-35-9
ISSN: 2405-8963
Publication language: English
Institution: Business School > ABWL u. Produktion (Stolletz)
Subject: 330 Economics
Keywords (English): Buffer allocation , stochastic ow lines , sampling approaches , MIP formulations , optimization , Design and reconfiguration of manufacturing systems , Modeling , simulation , control and monitoring of manufacturing processes
Abstract: Several sampling approaches have been proposed in literature for the analysis of ow lines with stochastic processing times and finite buffer capacities. The system's performance can be evaluated by a linear programming formulation if the number of buffers between the stations is given. This work presents several mixed integer programming approaches to optimize the buffer allocation in ow lines with stochastic processing times. Sampling is used to represent the random processing times. The objective is to minimize the overall number of buffer spaces obtaining at least a given goal production rate. Numerical experiments are carried out to evaluate different sampling approaches and model formulations. These approaches are compared regarding the robustness of the allocation decision with respect to the sample sizes.
Additional information: Online-Ressource

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