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SUPER EDGE-MAGIC PADA GRAF YANG MEMUAT BEBERAPA CYCLE GANJIL Suhud Wahyudi; Chairul Imron
Limits: Journal of Mathematics and Its Applications Vol 6, No 1 (2009)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (321.699 KB) | DOI: 10.12962/j1829605X.v6i1.1428

Abstract

Total edge-magic graph G adalah pemetaan bijektif f : V [ E !1; 2; 3; ; p + q sedemikian hingga f(u) +f(e) +f(v) adalah konstan tidak tergantung dari e = (u; v) 2 E. Total edge-magic graph G dikatakan super edge-magic jika f(V (G)) = 1; 2; 3; ; p. Dalam hal ini sifat super edge-magic dimiliki oleh beberapa graf yang memuat cycle ganjil. Salah satunya adalah graf planar (P 2 [kK dengan k > 1. 1Dalam makalah ini dikembangkan suatu teorema baru tentangkeberlakuan planar graph (P menjadi P 2n 2 [ kK 1 )+N ) + N ; n = 1; 2; . Juga ditunjukkan range dari konstanta magic total edge-magic labeling graph (P 22[ kK.2
Batas Bilangan Ajaib Pada Graph Caterpillar Chairul Imron
Limits: Journal of Mathematics and Its Applications Vol 3, No 2 (2006)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (175.876 KB) | DOI: 10.12962/j1829605X.v3i2.1397

Abstract

Jika suatu graph diberi label pada setiap simpul dan sisi dengan bilangan sebanyak simpul dan sisi, maka graph tersebut mempunyai sifat total sisi ajaib jika label pada setiap sisi dan simpul yang insiden dengan sisi tersebut dijumlahkan mempunyai jumlah yang sama. Bilangan tersebut dinamakan bilangan ajaib dari suatu graph. Untuk mendapatkan bilangan tersebut perlu dilakukan terlebih dahulu mencari batas minimum dan maksimum.Pada paper ini akan dicari batas minimum dan maksimum bilangan ajaib dari graph caterpillar.
SOLUSI NUMERIK DARI PERSAMAAN NAVIER-STOKES Chairul Imron; Suhariningsih Suhariningsih; Basuki Widodo; T Yuwono
Limits: Journal of Mathematics and Its Applications Vol 8, No 2 (2011)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (282.221 KB) | DOI: 10.12962/j1829605X.v8i2.1440

Abstract

Interaksi antara aliran fluida dengan suatu benda sering ditemui di alam. Aliran laminar maupun turbulen yang melewati suatu permukaan benda, maka partikel-partikel di sekitar permukaan bergerak lambat akibat gaya viskos, sehingga kecepatan partikel tersebut relatif nol. Pada paper ini akan mengkaji solusi numerik untuk menyelesaikan persamaan Navier-Stokes yang diterapkan pada persegi sirkuler yang dialiri fluida.
SECOND NAVAL FLEET COMMAND DISINFOLAHTA INFORMATION SYSTEM NETWORK COMMUNICATION PROCEDURE FOR SUPPORTING THE NAVAL TASK Adi Widodo; Chairul Imron; Sutrisno Sutrisno; Zainal Syahlan
JOURNAL ASRO Vol 13 No 4 (2022): International Journal of ASRO
Publisher : Indonesian Naval Technology College - Sekolah Tinggi Teknologi Angkatan Laut - STTAL

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Abstract

Disinfolahta’s second naval fleet command has the Main task of assisting with the field of development, data collection, and processing as well as presenting information, research, and development within the Koarmada II environment and acting as an information technology service center. Telegraphic communication radio within the Indonesian Navy is used for long-distance communication between ships, aircraft, and international shore radio. RTG Telegraphic communication radio uses international Morse signs, Q codes, and Z code procedural signs to convey information or news. The application of Radio Communication Telegraphy is very vulnerable to information theft. Important information conveyed from ship to ship, ship to aircraft, or to shore radio or vice versa can be accessed publicly. Information system security defense at Disinfolahta Koarmada II has not shown a level of efficiency and effectiveness, due to the absence of a special section in the field of information system security issues related to data transactions in communication networks. Improvement or improvement of information security is needed which plays a role in maintaining the confidentiality of information. Increasing the security and confidentiality of information is very necessary so that important information that is distributed is not known by unauthorized parties. This study plans a communication protocol scenario using the Mavlink and AX2.5 communication protocols. Each scenario will be run using a simulation to get network performance. The results of network performance measurements will be modeled using a dynamic system to get the best communication protocol as a proposal in order to improve the information security system at the Second naval fleet command. Keywords: RTG, Mavlink, AX2.5, network performance, communication protocols
SELECTION OF THE LOCATION OF UNMANNED AERIAL VEHICLES LAND BASE FOR SUPPORTING THE TASK OF THE INDONESIAN NAVY Helmi Amrullah; Chairul Imron; Joko Purnomo; Cahya Kusuma
JOURNAL ASRO Vol 13 No 4 (2022): International Journal of ASRO
Publisher : Indonesian Naval Technology College - Sekolah Tinggi Teknologi Angkatan Laut - STTAL

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Abstract

The Indonesian Archipelagic Sea Lanes (ALKI) which connects the Indian Ocean region with the Pacific Ocean and East Asia with Australia, has enormous consequences for efforts to implement its safeguards. An alternative is needed to optimize the current detection system. One of them is by utilizing the latest technological developments through the use of Unmanned Aerial Vehicles (UAV). The UAV capability for security and defense purposes at sea needs to be developed as an Integrated Fleet Weapon System (SSAT) to fulfill the functions of tactical reconnaissance and maritime surveillance (Surveillance). The use of the UAV can also increase strength and complement the needs of maritime patrol aircraft (Maritime Patrol Aircraft / MPA) which so far have not been fulfilled quantitatively in covering all Indonesian national jurisdiction waters. The ALKI I area is in the working area of Fleet Command I (Koarmada I). In order to optimize the placement of the ScanEagle UAV in the ALKI I area, it is very important to know the criteria for determining its location. This is also due to the limited number of ScanEagle UAVs and the large area that must be covered by these UAVs. By obtaining the location criteria for the ScanEagle UAV Landbase, it is hoped that it will make it easier to map ScanEagle placement locations at Indonesian Navy bases in the ALKI I area. ANP and TOPSIS methods. The criteria for determining the location of the UAV consist of geographical location, weather conditions, vulnerability and security as well as logistical facilities and support, with sub-criteria mountains, tall buildings, plains, sunny cloudy, rain, territorial violations, piracy crimes, smuggling, SAR, airport, ports, spare parts, maintenance, fuel and electricity availability. Based on the results of the analysis and discussion of determining the location of the selected UAV Batam Naval Base. Keywords: UAV, SSAT, Surveillance, ScanEagle, ANP, TOPSIS
MODEL OPTIMIZATION ASSIGNMENT AIRCRAFT IN THE ALKI II REGION BKO OF THE SECOND FLEET COMMAND II TO SUPPORT THE TASKS OF THE INDONESIAN NAVY Mardi Winoelyo; Chairul Imron; Adi Bandono; Mohammad Syaifi
JOURNAL ASRO Vol 13 No 4 (2022): International Journal of ASRO
Publisher : Indonesian Naval Technology College - Sekolah Tinggi Teknologi Angkatan Laut - STTAL

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Abstract

Assignment Marine security operation is an operation where the presence at sea has strategic value for theexistence of national sovereignty and maritime security in Indonesia's national jurisdiction. The threat of securitydisturbances and violations at sea in the form of fishing theft, theft of timber and other natural resources as wellas encroachment on territorial boundaries by foreign ships requires the presence of the Indonesian Navy PatrolElements (Ships and Aircraft) for security. The limited number of TNI AL Patrol Elements and the budgetprovided by the state as well as the need for securing the maritime territory of the Republic of Indonesia hasresulted in the need for thinking about optimizing the assignment of Patrol Ships and Aircraft in the Kamlaoperation sector and placement to their supporting bases, so that the right type and amount and operationalcosts in security. Ships and aircraft carry out patrols in randomly determined sectors. This optimization modelidentifies the related decision variables through open interview discussions, then sets the objective andconstraint functions as an optimization model to be developed. The application of the Goal Programmingmethod can be formulated by determining the decision variables related to the assignment of aircraft where theobjective function is to calculate the maximum radar coverage area in the operating sector and minimizeoperating costs. After optimizing the coverage area, there was an increase of 2.5% and a decrease in operatingcosts of 28%. So that, Mamdani's Fuzzy Logic method is used to determine the output of certain radar coverageareas. In this case, it requires the help of Matlab software on the Fuzzy Inference System (FIZ) toolbox to solvethis problem. Keywords: Maritime Patrol Aircraft, Operating Costs, Goal Programming, Fuzzy Inference System
SUSTAINABLE ENERGY FOR RADAR SYSTEMS IN INDONESIA'S OUTERMOST ISLANDS: A COOPERATIVE GAME THEORY ANALYSIS Rakhmad Susilo; Mukhlis; Chairul Imron; Okol Sri Suharyo; Riko Fendiawan
STTAL POSTGRADUATE - INTERNATIONAL CONFERENCE Vol. 8 No. 1 (2024): Indonesia Naval Technology College STTAL Postgraduate International Conference
Publisher : Indonesian Naval Technology College STTAL

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Abstract

Indonesia's vast territorial waters, essential for natural wealth and strategic trade routes, face significant security challenges, including smuggling, illegal fishing, marine pollution, and maritime terrorism. To address these threats, Indonesia has implemented the Integrated Maritime Surveillance System (IMSS), primarily powered by diesel generators and, in some cases, supplemented by solar cells. This study explores the potential of transitioning IMSS to sustainable energy sources, specifically solar cells, to enhance environmental sustainability and operational independence. Utilizing cooperative game theory, we analyze the compromise values of using solar cells, diesel generators, and PLN (state electricity) to determine the optimal energy mix that balances costefficiency and renewable energy utilization. Through cooperative game theory, we evaluate the total costs andnet present values (NPV) of each energy source under different usage scenarios (100%, 75%, 50%, and 25%). The NPV method is applied to assess the profitability and cost-effectiveness of each energy source over a 10-year period, discounting future cash flows to present value to account for the time value of money. This analysis shows that while solar cells require high initial investment, they offer significant long-term operational cost savings and environmental benefits. Conversely, diesel generators, despite lower initial costs, incur high operational and maintenance expenses. PLN electricity, though reliable in certain areas, faces limitations in remote regions. By determining the payoff matrix and eliminating dominant strategies, we identify the optimal compromise strategy that maximizes the use of renewable energy while minimizing costs. This approach not only supports Indonesia's green economy initiatives but also ensures reliable and efficient maritime surveillance. The findings advocate for a strategic shift towards greater reliance on solar energy for IMSS, promoting environmental sustainability and enhancing the system's overall effectiveness in securing Indonesia's maritime domain. This study contributes to the broader discourse on sustainable energy transitions in critical infrastructure and highlights the applicability of cooperative game theory in resource management.
Model Perahu Trimaran pada Aliran Laminar Chairul Imron; Erna Apriliani
Limits: Journal of Mathematics and Its Applications Vol. 14 No. 1 (2017): Limits: Journal of Mathematics and Its Applications Volume 14 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Trimaran merupakan kapal dengan tiga lambung yang dihubungkan dengan struktur bridging, platform ini bebas dari permukaan air, sebagai akibatnya kapal akan mengalami terjangan slamming dan deck wetness dapat dikurang. Penerapan konsep fuida sering digunakan untuk menyelesaikan permasalahan dalam kehidupan sehari-hari salah satunya yaitu permasalahan fuida di sekitar lambung kapal. Dengan asumsi bahwa lambung kapal berbentuk elips, maka penelitian ini bertujuan untuk menye-lesaikan permasalahan fuida di sekitar tiga silinder elips dengan kongurasi side-by-side menggunakan persamaan Navier-Stokes yang incompressible, viscous dan unsteady diselesaikan menggunakan metode beda hingga dan algoritma SIMPLE (Semi Implicit Method for Pressure-Linked Equation). Hasil dari penelitian ini adalah memperoleh nilai tekanan di beberapa titik pada setiap elips. Prol aliran fuida disimulasikan dengan bilangan Reynolds 1000 dan variasi jarak antar elips. Kemudian menghitung tekanan berdasarkan nilai komponen tekanan yang diterima elips.
SUPER EDGE-MAGIC PADA GRAF YANG MEMUAT BEBERAPA CYCLE GANJIL Suhud Wahyudi; Chairul Imron
Limits: Journal of Mathematics and Its Applications Vol. 6 No. 1 (2009): Limits: Journal of Mathematics and Its Applications Volume 6 Nomor 1 Edisi Mei
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Pengambilan keputusan merupakan hal yang sangat penting bagi manusia untuk mengestimasi langkah apa yang harus diambil saat ini atau di masa yang akan datang. Metode yang banyak diaplikasikan dalam pengambilan keputusan adalah metode inferensi Bayesian dipadukan dengan teknik Maximum A Posteriori (MAP). Kombinasi metode teknik ini memiliki keterbatasan ketika dihadapkan pada permasalahan-permasalahan yang bersifat multi-hipotesa multiindikasi, sehingga digunakan metode Maximum Score of the Total Sum of Joint Probabilities (MSJP) dalam pengambilan keputusan. Salah satu studi kasus yang mendukung dalam pengaplikasian metode MSJP yaitu mengenai ekspresi interaksi gen-gen dari waktu ke waktu. Dalam penelitian ini menggunakan data yeast cell cycle sebagai studi kasus mengenai fenomena ekspresi gen. Data gen yeast yang diteliti adalah yeast tipe elu dengan 25 gen dan 36 gen dalam 18 deretan waktu.
CRITICAL SET OF EDGE MAGIC TOTAL LABELING OF EXPANDING CYCLE GRAPH * Chairul Imron; Suhud Wahyudi
Limits: Journal of Mathematics and Its Applications Vol. 7 No. 2 (2010): Limits: Journal of Mathematics and Its Applications Volume 7 Nomor 2 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

This paper discusses about graph labeling. We will nd edge magic total labeling of cycle and expanding cycle graph. In the nal, we investigate the critical set of edge magic total labeling on cycle and expanding cycle graph.