Production Lot Sizes on a Single Imperfect Machine: FPTAS vs ILP Models

Abstract : A single machine multi-product lot-sizing and sequencing problem for a single period is studied. In this problem, n different product types are manufactured in lots. A demand for good quality items as well as a per item processing time are known for all product types. There is a sequence dependent set-up time between lots of different types. Machine yields and product lead times are uncertain because of the non-perfect production and breakdowns. The objective is to minimize the cost of the demand dissatisfaction, subject to the total processing time does not exceed a given time limit. We propose two integer linear programming (ILP) models for the NP-hard "fraction defective" case of this problem and compare effectiveness of their ILOG CPLEX realizations with the earlier developed FPTAS via a computer experiment.
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https://hal-emse.ccsd.cnrs.fr/emse-00693939
Contributor : Florent Breuil <>
Submitted on : Thursday, May 3, 2012 - 10:28:07 AM
Last modification on : Thursday, May 9, 2019 - 10:36:04 AM

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Kseniya Schemeleva, Alexandre Dolgui, Frédéric Grimaud, Xavier Delorme, Mikhail Y. Kovalyov. Production Lot Sizes on a Single Imperfect Machine: FPTAS vs ILP Models. 14th IFAC Symposium on Information Control Problems in Manufacturing (INCOM12), May 2012, Bucharest, Romania. pp 590-595, ⟨10.3182/20120523-3-RO-2023.00421⟩. ⟨emse-00693939⟩

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