{"title":"MASALAH NILAI EIGEN ATAS ALJABAR MAX-PLUS PADA SISTEM PRODUKSI BULU MATA","authors":"Nadya Novika, Suroto Suroto, Bambang Hendriya Guswanto","doi":"10.33503/prismatika.v6i1.3348","DOIUrl":null,"url":null,"abstract":"A discrete event system is a system whose behavior is determined by events and their events change at discrete times. The eyelash production system at PT Bio Takara Purwokerto is a discrete event system problem and can be expresses in a max-plus linear problem. By using the power algorithm, it is determined eigen values and eigen vectors over max-plus algebra which will be used as production time periodization. The results obtained that the periodic time for the eyelash production system at PT Bio Takara Purwokerto is 78.488 minutes. Based on this periodic time, we can then obtain the time each processing unit starts working to produce eyelashes.","PeriodicalId":20523,"journal":{"name":"PRISMATIKA: Jurnal Pendidikan dan Riset Matematika","volume":"145 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PRISMATIKA: Jurnal Pendidikan dan Riset Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33503/prismatika.v6i1.3348","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A discrete event system is a system whose behavior is determined by events and their events change at discrete times. The eyelash production system at PT Bio Takara Purwokerto is a discrete event system problem and can be expresses in a max-plus linear problem. By using the power algorithm, it is determined eigen values and eigen vectors over max-plus algebra which will be used as production time periodization. The results obtained that the periodic time for the eyelash production system at PT Bio Takara Purwokerto is 78.488 minutes. Based on this periodic time, we can then obtain the time each processing unit starts working to produce eyelashes.
离散事件系统是这样一种系统,它的行为是由事件决定的,它们的事件在离散时间发生变化。PT Bio Takara Purwokerto的睫毛生产系统是一个离散事件系统问题,可以表示为一个max-plus线性问题。利用幂算法确定了max-plus代数上的特征值和特征向量,这些特征值和特征向量将被用作生产时间周期化。结果表明,该睫毛生产系统的周期时间为78.488 min。基于这个周期时间,我们就可以得到每个加工单元开始生产睫毛的时间。