Using linear programming to analyze and optimize stochastic flow lines
AbstractThis paper presents a linear programming approach to analyze and optimize flow lines with limited buffer capacities and stochastic processing times. The basic idea is to solve a huge but simple linear program that models an entire simulation run of a multi-stage production process in discrete time, to determine a production rate estimate. As our methodology is purely numerical, it offers the full modeling flexibility of stochastic simulation with respect to the probability distribution of processing times. However, unlike discrete-event simulation models, it also offers the optimization power of linear programming and hence allows to solve buffer allocation problems. We show under which conditions our method works well by comparing its results to exact values for two-machine models and approximate simulation results for longer lines.
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Bibliographic InfoPaper provided by Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät in its series Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Leibniz Universität Hannover with number dp-389.
Length: 20 pages
Date of creation: Feb 2008
Date of revision:
Flow lines; random processing times; performance evaluation; buffer allocation; linear programming; simulation.;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-23 (All new papers)
- NEP-CMP-2008-02-23 (Computational Economics)
- NEP-ORE-2008-02-23 (Operations Research)
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.:
- Helber, Stefan & Henken, Kirsten, 2007. "Profit-oriented shift scheduling of inbound contact centers with skills-based routing, impatient customers, and retrials," Diskussionspapiere der Wirtschaftswissenschaftlichen FakultÃ¤t der Leibniz UniversitÃ¤t Hannover dp-379, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
- Helber, Stefan & Schimmelpfeng, Katja & Stolletz, Raik, 2009.
"Setting inventory levels of CONWIP flow lines via linear programming,"
Diskussionspapiere der Wirtschaftswissenschaftlichen FakultÃ¤t der Leibniz UniversitÃ¤t Hannover
dp-436, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
- Stefan Helber & Katja Schimmelpfeng & Raik Stolletz, 2011. "Setting Inventory Levels of CONWIP Flow Lines via Linear Programming," BuR - Business Research, German Academic Association for Business Research, vol. 4(1), pages 98-115, March.
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