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Conference Papers Year : 2012

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.

Dates and versions

emse-00693939 , version 1 (03-05-2012)

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Cite

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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