Cassava Chips Production System in Max-Plus Algebra
DOI:
https://doi.org/10.30736/voj.v5i1.690Keywords:
Cassava chips production system, Petri Net, Max-Plus AlgebraAbstract
The research discussed here relates to the cassava chips production system. The production system was analyzed using petri net and algebra of maxplus. The goal is to obtain information on the completion time for each process and to know the estimated time of completion of production each day. Based on the data obtained, it can be described the flow of the production process and then formed a graph so that it can be formed a petri net using the Woped 3.1.0 tool. From the results of the petri net then analyzed and can be built coverability tree. So that, the completion time for each process and the estimated time for completion of production each day can be known.Downloads
References
Kansal, S., & Dabas, P. (2021). An Introduction to Signed Petri Net. Hindawi: Journal of Mathematics, 2021, 1–8. Retrieved from https://doi.org/10.1155/2021/5595536
Karadogan, A. (2021). Modeling and Analysis of Social Networks Based On Petri Net Theory. Anatolian Journal of Computer Sciences, 6(1), 18–23. Retrieved from https://dergipark.org.tr/tr/download/article-file/1430062
Kismanti, S. T., & Indriyani, D. (2021). Application of Algebra in Production Systems. Jurnal Borneo Saintek, 4(1), 37–42. Retrieved from https://doi.org/10.35334/borneo_saintek.v4i1.1960
Konigsberg, Z. R. (2013). Timed Petri Nets Modeling And Lyapunov/Max-Plus Algebra Stability Analysis For A Type Of Queuing Systems. International Journal of Pure and Applied Mathematics, 86(2), 301–323. Retrieved from https://doi.org/http://dx.doi.org/10.12732/ijpam.v86i2.6
Kurniawan, A., & Suparwanto, A. (2020). Max-Plus Linear Equation System And Its Application On Railway Network System. Jurnal Matematika Thales, 02 (01), 63–77.
MartÃnez-Olvera, C., & Mora-Vargas, J. (2018). A Max-Plus Algebra Approach to Study Time Disturbance Propagation within a Robustness Improvement Context. Hindawi: Mathematical Problems in Engineering, 2018, 1–18. Retrieved from https://doi.org/10.1155/2018/1932361
MartÃn-Gutiérrez, J., Mora, C. E., Añorbe-DÃaz, B., & González-Marrero, A. (2017). Virtual technologies trends in education. Eurasia Journal of Mathematics, Science and Technology Education, 13(2), 469–486. Retrieved from https://doi.org/10.12973/eurasia.2017.00626a
Maure, O. P. M., Ningsi, G. P., & Nay, F. A. (2021). Outpatient Queue System Modeling Using Petri Net and Max-Plus Algebra: A Case Study of a General Hospital in Yogyakarta. Leibniz: JurnalMatematika, 1(1), 1–11. Retrieved from https://ejurnal.unisap.ac.id/index.php/leibniz/article/view/101
Maure, O. P., &Rudhito, M. A. (2019). Max-Plus Algebra Model on Service Queue System Publishing of Trade Materials License Hazardous Substances. Asimtot: Jurnal Kependidikan Matematika, 1(2), 139–146. Retrieved from https://doi.org/https://doi.org/10.30822/asimtot.v1i2.280
Munawaroh, M., & Subiono. (2020). Petri Net And Max Plus Algebra Model In General Poly Patient Service System At XYZ Health Center. SNasPPM: Prosiding Seminar Nasional Penelitian Dan Pengabdian Masyarakat, 5(1), 123–131. Retrieved from http://prosiding.unirow.ac.id/index.php/SNasPPM/article/view/323
Nauman, S. K., Ozel, C., & Zekraout, H. (2019). Abstract Omega Algebra that Subsumes Tropical Min and Max Plus Algebras. Turkish Journal of Mathematics and Computer Science, 11 (Icmme), 1–10. Retrieved from https://dergipark.org.tr/en/download/article-file/913081
Nurmalitasari, D. (2018). Max Plus and Petri Net Algebra Models in the End Semester Examination Registration Service System. AKSIOMA : Jurnal Matematika Dan Pendidikan Matematika, 9(2), 47–56. Retrieved from https://doi.org/10.26877/aks.v9i2.2997
Nurmalitasari, D., & Iswahyuni, R. E. (2019). Petri Net Design and Max-Plus Algebra on Blessing Milk Soyghurt Production System. Buana Matematika: Jurnal Ilmiah Matematika Dan Pendidikan Matematika, 10(2), 63–68. Retrieved from https://doi.org/https://doi.org/10.36456/buanamatematika.v9i2:.2095
Pamuk, N. (2015). Performance Evaluation of Microprocessor Control in Multi Motor Asynchronous Electric Drive Using Petri Nets. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 2(1), 19–26. Retrieved from https://dergipark.org.tr/en/pub/bseufbd/issue/22288/239052
Pramesthi, S. R. P. W. (2021). Petri Net Simulation in Fermented Milk Production Process. Vygotsky, 3(1), 25. Retrieved from https://doi.org/10.30736/voj.v3i1.349
Prastiwi, L., Septikasari, E. D., & Widayat, E. (2018). Max-Plus Algebra Applications on Slipper Production Timing. Prosiding Seminar Nasional Hasil Riset Dan Pengabdian( SNHRP-I ): "Inovasi, Teknologi Dan Pendidikan Guna Mewujudkan Indonesia Sejahtera Di Era Industrialisasi 4.0, 1005–1009.
Qin, C., & Liu, Z. (2021). Motion Modeling and Control of Lower Limb Exoskeleton Based on Max-Plus Algebra. Discrete Dynamics in Nature and Society, 2021, 1–10. Retrieved from https://doi.org/10.1155/2021/8538787
Rauf, M. D. A., Nurwan, Yahya, L., &RezkaNuha, A. (2021). Housing Development Project Scheduling Model Using Petri Net And Max-Plus Algebra. Jes-Mat: Jurnal Edukasi Dan Sains Matematika, 7(1), 31–42. Retrieved from https://doi.org/https://doi.org/10.25134/jes-mat.v%25vi%25i.3517
Rudhito, M. A., Wahyuni, S., Suparwanto, A., & F. Susilo. (2010). Max-Plus Algebra Modeling And Performance Evaluation Of Tacyclic Fork-Join Queue Networks With Infinite Buffer Capacity. JurnalMatematika, 1(1), 8–15. Retrieved from https://doi.org/https://doi.org/10.24843/JMAT.2010.v01.i01.p10
Soebiyakto, G. dan A. Alfiana. 2017. Science and technology for the community: cassava chips business group in Pagentan Village, Singosari District, Malang Regency. JATI EMAS. 1(1) : 1-4.
Suroto, S. (2021). Moore-Penrose Inverse on the Upper Matrix of Symmetrical Max-Plus Algebra.Teorema: Teori Dan RisetMatematika, 6(2), 198–209. Retrieved from https://doi.org/10.25157/teorema.v6i2.5514
Wibowo, A., Wijayanti, K., & Veronica, R. B. (2018). Application of Max-Plus Algebra in Traffic Light Queue System Settings. UNNES Journal of Mathematics, 7(2), 192–205. Retrieved from https://doi.org/https://doi.org/10.15294/ujm.v7i2.21338
Yahya, L., Nurwan, N., &Resmawan, R. (2022). Determining the Optimal Time for Making Karawo Embroidery Crafts Using Max-Plus Algebra. Vygotsky, 4(1), 23–34. Retrieved from https://doi.org/10.30736/voj.v4i1.442
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