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Strategi Optimasi Pemasaran Air Mineral di Kecamatan Maduran dengan Menggunakan Teori Permainan Shahadah, Zaqiyatus; Aris Alfan; Zumrotus Sya'diyah
JMT (Jurnal Matematika dan Terapan) Vol. 6 No. 2 (2024): JMT (Jurnal Matematika dan Terapan)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.6.2.1

Abstract

Mineral water company must design an effective marketing strategy to find optimal marketing opportunities. The method for developing marketing strategies that need to be optimized is using game theory. This research aims to analyze the optimal marketing strategy for mineral water Aqua, Cleo, and local brands (Como, Aidrat, Ake, etc.). Alternative strategies implemented include: profit, demand and quality. In this study, the optimal strategy for Aqua is demand and quality, the optimal strategy for Cleo is profit and demand, and the optimal strategy for Local Brands (Como, Aidrat, Ake, etc.) is profit and demand.
KESTABILAN MODEL PETRI NET DARI SISTEM PEMBAYARAN TAGIHAN LISTRIK PT. PLN (Persero) RAYON AMBON TIMUR Sya'diyah, Zumrotus
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 4 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (457.751 KB) | DOI: 10.30598/barekengvol15iss4pp601-606

Abstract

This research develops the previous one of the electricity bill payment system in PT. PLN (Persero) Rayon East Ambon modelled by Petri Net. The previous researcher had built the Petri Net model of this payment system. In this research, we determine whether the system modelled before is stable or not. This stability will be analysed using the Lyapunov stability theory related to the Petri Net. The result shows that the electricity bill payment system modelled by Petri Net before is not stable but can be stabilized. This can be caused there is a transition which is ‘always enable’ in the modelled which is built. This research also performs a stable model of Petri Net that represents the electricity bill payment system with deleting the ‘always enable’ transition
MAX PLUS ALGEBRA OF TIMED PETRI NET FOR MODELLING SINGLE SERVER QUEUING SYSTEMS Sya'diyah, Zumrotus
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (442.901 KB) | DOI: 10.30598/barekengvol17iss1pp0155-0164

Abstract

This research modified a single server queuing system using timed Petri net. We add two places, a transition and its appropriate arcs. This research also considered all the holding times in the timed Petri net. We found that the Petri net is not stable but stabilizable according to Lyapunov stability criteria. The standard autonomous equation of the system is also determined. Furthermore, this system also has the eigen value which related to its periodical behavior, it is . This means that the periodical behavior of the system only depends on the value of holding times of place W, R, B, and I.
Max Plus Algebra Application In Air Defence Systems Zumrotus Sya'diyah
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 2 (2025): Jurnal Derivat (Agustus 2025)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i2.8357

Abstract

Air defence is one of the vital systems in national defence. This system generally includes several processes, namely detection by radar, object identification and decision making. The level of success really depends on the accuracy of decision-making. However, it is not yet known for certain which processes critical processes in decision-making. In this research, we will discuss the application of max plus algebra in determining which process of the workflow for air defence systems is the most critical one. Graphical interpretation of the system using graphs and Timed Petri Nets to make it easier to understand and analyse. The research results show that the success of the entire process depends on the readiness of the radar in carrying out surveillance of the coverage area. This can be seen from the critical circuit, which only depends on the place relating to the situation. Keywords: Max plus algebra, Timed Petri Net, air defence system.