Column Generation Model in Capacitated Multi-Periods Cuing Stock Problem with Paern Set-Up Cost

Bangun, Putra Bahtera Jaya and Octarina, Sisca and Hanum, Laila and SAWITRI, RANTI and Cahyono, Endro Setyo (2021) Column Generation Model in Capacitated Multi-Periods Cuing Stock Problem with Paern Set-Up Cost. Science and Technology Indonesia, 6 (1). pp. 8-13.

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Abstract

Cu�ing StockProblem(CSP)determinesthecu�ingofstockswithstandardlengthandwidthtomeettheitem’sdemand.The optimal solutionwillminimizetheusageofstocksandtrimloss.Thisresearchimplementedthepa�erngenerationalgorithm for generatingpa�erns.Andthen,weformulatetheGilmore-GomoryandColumnGenerationmodelintwo-dimensionalCSP. This CSPhastwostagesofcu�ing,whereasthefirststagecutthestocksbasedonthewidthandthesecondstagebasedon the length.TheGilmore-Gomorymodelensuredthatthefirststage’sstripswereusedinthesecondstageandmettheitem’s demand. TheColumnGenerationmodeladdedthepa�ernset-upcostastheconstraint.TheCSPinthisresearchhadthree periodsofcu�ingwithdi�erentcapacitiesineachperiod.Theperiodistheunitoftimeforcompletingthedemands.Basedon the ColumnGenerationmodel’ssolution,thefirstperiodusedthe2nd , 4th, and5th pa�erns, thesecondperiodusedthe4th and 5th pa�erns, andthethirdperioddidnotuseanypa�erns.Thefirstandsecondperiodsfulfilledallofthedemands

Item Type: Article
Uncontrolled Keywords: Cu�ing StockProblem,Pa�ernGeneration,Gilmore-Gomory,ColumnGeneration
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics > QA37.3.1.64 Applied Mathematics
Divisions: 08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User: Putra Bahtera Jaya Bangun
Date Deposited: 08 Sep 2022 00:20
Last Modified: 08 Sep 2022 00:20
URI: http://repository.unsri.ac.id/id/eprint/74847

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