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Modelling Multi-Period Set-up Times in the Proportional Lot-Sizing Problem
Author(s) -
Waldemar Kaczmarczyk
Publication year - 2009
Publication title -
decision making in manufacturing and services
Language(s) - English
Resource type - Journals
eISSN - 2300-7087
pISSN - 1896-8325
DOI - 10.7494/dmms.2009.3.2.15
Subject(s) - changeover , set (abstract data type) , sizing , integer programming , integer (computer science) , mathematical optimization , period (music) , computer science , mathematics , operations research , programming language , art , telecommunications , physics , transmission (telecommunications) , acoustics , visual arts
This paper presents new mixed integer programming models for the Proportional Lot-Sizing Problem (PLSP) with set-up times longer than a period. Proposed models explicitly calculate the distribution of times amongst products in periods with a changeover and determine a final period for every set-up operation. Presented results prove that the proposed models are easier to solve using standard MIP methods than already known models.

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