Optimizing Modular Machining Line Design Problem with Mixed Activation Mode of Machining Units
Author(s) -
Sana Belmokhtar,
Alexandre Dolgui,
Xavier Delorme,
Ivan Ignatenko
Publication year - 2007
Publication title -
decision making in manufacturing and services
Language(s) - English
Resource type - Journals
eISSN - 2300-7087
pISSN - 1896-8325
DOI - 10.7494/dmms.2007.1.2.35
Subject(s) - machining , modular design , computation , line (geometry) , integer (computer science) , computer science , limit (mathematics) , set (abstract data type) , mode (computer interface) , transfer (computing) , transfer line , mathematical optimization , mechanical engineering , engineering , algorithm , mathematics , parallel computing , geometry , mathematical analysis , programming language , operating system
A modular transfer line designing problem is investigated. The problem is to find the best subset of modules (machining units) from a given set and to assign them to different stations so that technological constraints and cycle upper limit are respected and the line cost is minimal. The investigated lines have a mixed activation mode for the machining units of each station, i.e. the units of each station are arranged into a series of stages such that each stage is composed of several units activated in parallel. A mixed integer program approach is proposed to model and solve the corresponding design problem. Improvements are suggested in order to reduce the model size and speed up the computations.
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