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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.
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.
Pemodelan Sistem Antrian Pasien RSJ Menur Menggunakan Timed Petri Net Zumrotus Sya'diyah; Ari Maulida Intahaya
Griya Journal of Mathematics Education and Application Vol. 6 No. 1 (2026): Maret 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i1.1048

Abstract

Queueing systems play an important role in operational management, particularly in healthcare services. Inefficient queue management can reduce service quality and patient satisfaction. This study aims to model the outpatient queueing system at Menur Mental Hospital, Surabaya, using a Timed Petri Net approach combined with Max-Plus Algebra. The data were obtained through a literature review and an interview with one outpatient clinic nurse at Menur Mental Hospital conducted in June 2025, which provided information on the stages of service and the average duration of each service process for BPJS outpatient patients. The Petri Net model represents the service flow graphically, while the Max-Plus Algebra formulation expresses the system dynamics in a recursive form. The resulting Max-Plus matrix describes the time dependency structure among service stages. Based on the transition duration analysis, the critical path of the system is identified in the polyclinic and pharmacy services with a total service time of 56 minutes, indicating these stages as potential bottlenecks. The proposed model provides a mathematical framework to evaluate system performance and support decision-making in improving the operational efficiency of outpatient services.