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All Journal Jurnal Matematika MATEMATIKA Jurnal Natur Indonesia Jurnal Sains Dasar Journal of the Indonesian Mathematical Society Jurnal Matematika & Sains JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Majalah Ilmiah Matematika dan Statistika (MIMS)
ARI SUPARWANTO
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Journal : MATEMATIKA

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ANALISIS LINTASAN KRITIS JARINGAN PROYEK DENGAN PENDEKATAN ALJABAR MAX-PLUS Rudhito, Andi; wahyuni, sri; suparwanto, Ari; Susilo, F
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

This paper proposes a method to critical path analysis in the project network using max-plus algebra approach.  The project network would be represented as a matrix over max-plus algebra. The dynamic of the project would be modeled and analyzed using max-plus algebra approach. The critical path analysis consists of determining earliest start time, latest completion time and float time. The finding show that the dynamic of the project is could be modeled in a systems of max-plus linear equations. The earliest start times of every node in the project are the solution of the system. The latest completion times of every node in the project are the solution of the modified system. The float time of every activity in the project could be detemined by modify and do some matrices operation over earliest start time vector and latest completion time vector. An example for modeling and computing a project using MATLAB example show that the result was appropriated with the critical path method (CPM).
SIFAT PERIODIK JARINGAN ANTRIAN SERI TERTUTUP DENGAN PENDEKATAN ALJABAR MAX-PLUS Rudhito, M Andy; Wahyuni, Sri; Suparwanto, Ari; Susilo, Frans
MATEMATIKA Vol 14, No 2 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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  Abstract. This article discussed about the properties of  closed periodic queuing network series susing max-plus algebra. The result showed that the properties of  closed periodic dinamic queuing network series can be determined by using the concept of eigen values ​​and eigen vectors of max-plus matrix in the network model. Through the max-plus eigen vector fundamental, can be determined faster early time departure of customers of departure to the next customer periodically, with a large period of max-plus eigenvalue
Co-Authors Andi Rudhito Budi Surodjo Darlena, Darlena Eka Susilowati F Susilo F. SUSILO Frans Susilo Gregoria Ariyanti M Andy Rudhito M. Andy Rudhito M. ANDY RUDHITO M. Andy Rudhito Maharani, Andika Ellena Saufika Hakim Marcellinus Andy Rudhito Maxrizal Nikita S Siswanto Sri Wahyuni Sri Wahyuni Sutopo Sutopo