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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Statistika Universitas Muhammadiyah Semarang Journal of Mathematics Education and Science Jurnal Pengabdian Masyarakat Indonesia Journal of Social Outreach Basis : Jurnal Ilmiah Matematika Eksponensial
Wasono Wasono
Program Studi Matematika FMIPA Universitas Mulawarman
Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Library & Information Science Mathematics Public Health Social Sciences Other

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Proses Optimasi Masalah Penugasan One-Objective dan Two-Objective Menggunakan Metode Hungarian Diang Dewi Tamimi; Ika Purnamasari; Wasono Wasono
EKSPONENSIAL Vol 8 No 1 (2017)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Assignment problem is a situation where m workers are assigned to complete n tasks/jobs to minimize costs and time or maximize profits and quality by setting the proper task to each worker. Many researches have been focused to solve assignment problem, but most of them only consider one-objective such as minimizing the cost of operation. Two-objectiveassignment problem is the assignment problem that has two objectives optimization of some of the resources owned by each worker to complete every task/job which are cost and time for this case. Case in this research use primary data drawn from the interviews of Rattan furniture craftman in Rotan Sejati store, Samarinda. This research will optimize the one-objective and two-objective assignment problem by using Hungarian Method. The analysis result revealed that the optimization proccess of one-objective assignment problem only considering operation cost is Rp. 2.950.000,- with total time is 63 days. The optimization proccess of one-objective assignment problem only considering operation time is Rp. 3.290.000,- with total time is 52 days. The optimization proccess of one-objective assignment problem only considering quality is Rp. 3.550.000,- with total time is 59 days. The optimization proccess of two-objective assignment problem only considering operation cost and operation time is Rp. 3.170.000,- with total time is 52 days. The optimization proccess of two-objective assignment problem only considering operation cost and quality is Rp. 3.380.000,- with total time is 61 days. The optimization proccess of two-objective assignment problem only considering operation time and quality is Rp. 3.350.000,- with total time is 59 days.
Penaksiran Parameter Model Mixed Geographically Weighted Regression (MGWR) Data Indeks Pembangunan Manusia di Kalimantan Tahun 2016 Mita Asti Wulandari; Suyitno Suyitno; Wasono Wasono
EKSPONENSIAL Vol 10 No 2 (2019)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Mixed Geographical Regression (MGWR) model is a combination of global linear regression model and GWR model. Some MGWR parameters are global (the same value) and the other parameters are local (different values) ​​at each observation location. The purpose of this study is to obtain MGWR model for every District’s HDI and to obtain the factors that significantly influence District HDI in East Kalimantan, Central Kalimantan and South Kalimantan Provinces. Estimating parameters for global parameters use Ordinary Least Square (OLS) method. Estimating parameters for local parameters use Weighted Least Square (WLS) method, where weighting spatial is determined by using gaussian adaptive function. Based on the result of MGWR parameters testing, it was concluded that the school enrollment rates (SMP) affected the HDI of all districs in East Kalimantan, Central Kalimantan and South Kalimantan provinces. The population density and the percentage of poor people influence locally to HDI.
Penggunaan Metode Kaizen Pada Tahap Improve Dalam Six Sigma Yuliana Yuliana; Yuki Novia Nasution; Wasono Wasono
EKSPONENSIAL Vol 8 No 1 (2017)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Six sigma is a holistic approach to solve the cause of disabilityproductsproblems and improve processes through the DMAIC (Define, Measure, Analyze, Improve, Control). Analyze the causes of product defect using the proposed improvement of Kaizen that is Five-M Checklist, 5W+1H (What, Why, Where, When, When, Who, How), and Five Step Plans. Obtained a better quality thereby creating customer satisfaction. The purpose of this study were to determine the value of Defect Per Million Opportunities (DPMO), Critical To Quality (CTQ) products, and know the process of production of bottled water brand RAMA volume 220ml. The result showed DPMO value 45.808. The level of the company be at 3,186 sigma with Critical To Quality (CTQ) is lid at 41,3%, water volume at 27,1%, and glass at 25%. The p-chart is used before and after improvement in this study to analyze the number of defective product. The result showed that before the repair using analysis of Kaizen, there is a lot of data out of the control limits, whereas after repair using analysis of Kaizen there is no data out of the control limits and some data products were near the centerline of the control p-chart.
Penentuan Percepatan Penyelesaian Proyek Pada Metode Jalur Kritis dengan Program Crash Wasono Wasono; Fidia Deny Tisna Amijaya; Moch Nurul Huda
EKSPONENSIAL Vol 10 No 1 (2019)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

A project requires scheduling so that project completion time can be completed at the targeted time. Critical Path Method (CPM) is one of the scheduling methods that is able to provide solutions to scheduling problems. This method has several project acceleration methods to get the fastest turnaround time with a minimal increase in costs. The acceleration method is the program crashes by not using free float time. Case studies of project scheduling at the bus terminal administration office building in city X have been carried out. Analysis is carried out to obtain a critical path at normal times. At normal times, the implementation time is 385 days with a total cost of Rp. 488,488,000.00. After that the project was accelerated by using a crash program by not using the free float time and the implementation time being 289 days with a direct total project cost of Rp. 520,239,992.00. Based on the time of the acceleration of the crash by not using the free float time, the reduction time was 96 days with the addition of a total direct cost of Rp. 14.252.008.00
Penjadwalan Proyek Dengan Metode Program Evaluation and Review Technique (PERT) Nur Annisa Roziya; Ika Purnamasari; Wasono Wasono
EKSPONENSIAL Vol 9 No 2 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (541.805 KB) | DOI: 10.30872/eksponensial.v9i2.305

Abstract

Project scheduling is one of the techniques developed in operations research to solve management problems to obtain optimal solutions. One of the methods used for project scheduling is the method of Program Evaluation and Review Technique (PERT). In PERT method, three time estimates are used, that is optimistic time (a), pessimistic (b), and realistic (m). In this study, PERT method is used to determine the optimal duration and probability value of the completion of the Grand Sangatta housing project on house type 36 which is sourced from CV Miftah Collection. The data obtained are primary data and interview. Based on the results of the analysis, it can be know the activities that are on the critical path are the activities of making the foundation (B), concrete (D), wall (E), roof (H), ceiling (I), and painting (L). The minimum time duration of completion of type 36 homes is 34 days with a 50% confidence level which was originally scheduled for 60 days.
Perbandingan Hasil Revised Distribution Method dan Metode Stepping Stone dengan Penentuan Nilai Awal Menggunakan Metode North West Corner dalam Meminimumkan Biaya Pendistruibusian Barang Zulaiha Eka Saputri; Yuki Novia Nasution; Wasono Wasono
EKSPONENSIAL Vol 10 No 1 (2019)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Globalization and free trade era make the distribution of goods as if not limited by region. In the process of distribution of goods, cost calculation becomes a very important factor, to minimize the cost of distribution, it is necessary to apply a transportation modeling. Revised Distribution Method (RDI) is a method of transportation that does not use initial solutions in its completion. The RDI method is different with the Stepping Stone Method that uses the initial solution to determine the optimal solution. The purpose of this research is to minimize the cost of distribution of LPG gas 3 Kg using RDI and Stepping Stone method and then compare the two methods to see optimal results. The result shows that RDI method has 10 iterations with minimum cost of Rp 26.719.520,- thus saving 41% with cost difference of Rp 18.280.480,- from previous transportation cost of Rp 45.000.000,- while Stepping Stone method has 4 iterations with result a minimum charge of Rp 24.000.000,- thus saving 47% with a difference of Rp 20.968.000,- from the previous fee of Rp 45.000.000,-. So it can be concluded that the stepping stone method is a more appropriate method to minimize the amount of transportation costs at PT. Tri Pribumi Sejati.
Pemodelan Geographically Weighted Regression (Gwr) Dengan Fungsi Pembobot Adaptive Kernel Bisquare Untuk Angka Kesakitan Demam Berdarah di Kalimantan Timur Tahun 2015 Aditiya Risky Tizona; Rito Goejantoro; Wasono Wasono
EKSPONENSIAL Vol 8 No 1 (2017)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Dengue Fever in East Borneo is thought to be a spatial problem that affected by geographic factor and linear regression analysis that is often can not describe with Good Relations pattern. The solution for this problem can be solved using Geographic Weighted Regression Method (GWR) to review and Troubleshooting geographic factor. This research Model proposed to consider GWR model with geography factor or location as the weight to estimate the model parameters, the weight type that used for this research is Adaptive Bisquare. Based on the analysis, this research revealed different model to every observations and different indicators. The eight locations are Paser, Kutai Kartanegara, West Kutai, East Kutai, Berau, Balikpapan, Samarinda dan Bontang. Those locations have variable that affected the morbidity number of dengue fever equally specifically house, elementary school facilities and public place that do not meet the requirements of health, and also waste transported while for the observation location of Penajam Paser Utara has the affected variable of dengue fever morbidity number equally which are house, waste transported, elementary school facilities and public place that do not meet the requirements of health, and also the citizen that do not have the healthy and hygienic lifestyle pattern.
Simulasi Numerik Model Transmisi Dinamik Penularan Virus HIVAIDS dengan Efek Sel CD4+T yang Lemah Gracyella Niken Sekar Arum; Moh. Nurul Huda; Wasono Wasono
Basis : Jurnal Ilmiah Matematika Vol 2 No 2 (2023): BASIS: Jurnal Ilmiah Matematika
Publisher : Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30872/basis.v2i2.1125

Abstract

Penelitian ini mengkaji model matematika yang ditunjukkan untuk dinamika HIV / AIDS dengan menggunakan sel CD4+T yang lemah. Model ini mempertimbangkan tiga kategori sel yang berbeda: sel CD4+T yang tidak terinfeksi, sel CD4+T terinfeksi, dan virus. Angka reproduksi dasar telah dihitung dengan menggunakan metode matriks generasi selanjutnya. Model ini menunjukkan dua keadaan yaitu pada keadaan dimana tidak ada virus, dan pada keadaan dimana terdapat virus dan sel T yang terinfeksi. Simulasi numerik dibagi menjadi tiga simulasi ketika angka reproduksi dasar kurang dari, lebih besar dari, dan sama dengan satu, dengan menggunakan nilai-nilai parameter dan populasi awal. Simulasi pertama dilakukan dengan meningkatkan nilai kontak dari sel CD4+T dan sel virus dan nilai sel terinfeksi. Simulasi kedua dilakukan dengan menurunkan nilai kontak dari sel CD4+T dan sel virus dan nilai sel terinfeksi. Simulasi terakhir dilakukan denga menurunkan nilai peningkatan sel CD4+T.
Penerapan Fuzzy Teori Permainan dalam Menentukan Strategi Optimal Provider di Bengalon Clara Indriani Puspitasari; Wasono Wasono; Moh. Nurul Huda
Basis : Jurnal Ilmiah Matematika Vol 2 No 2 (2023): BASIS: Jurnal Ilmiah Matematika
Publisher : Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30872/basis.v2i2.1077

Abstract

Teori permainan adalah sebuah teori yang bertujuan untuk membantu memahami situasi dimana pengambil keputusan berinteraksi. Penelitian ini menerapkan teori permainan yang melibatkan dua pemain yaitu pemain P1 adalah Telkomsel dan pemain P2 adalah Indosat dengan lokasi di Kecamatan Bengalon, khususnya Desa Sepaso Barat. Penelitian ini bertujuan untuk menentukan strategi yang optimal dari masing-masing penyedia layanan internet agar dapat memperoleh keuntungan dan mengurangi kerugian yang disebabkan oleh penilaian konsumen melalui suatu model matematika dan penyelesaian secara numerik dari matriks permainan. Matriks permainan diperoleh dari logika fuzzy melalui proses fuzzifikasi dan defuzzifikasi. Pendekatan numerik yang digunakan pada matriks dari logika fuzzy yaitu pemrograman linier dengan metode penyelesaian yang digunakan adalah metode simpleks dan dual simpleks untuk memperoleh solusi optimum. Hasil penelitian ini menunjukkan bahwa strategi pemasaran yang optimal untuk kedua penyedia layanan internet adalah atribut kecepatan internet untuk pemain P2 (Indosat) dan atribut jangkauan jaringan untuk pemain P1 (Telkomsel) dengan nilai permainan atau saddle point yang diperoleh adalah 4,5667. Atribut yang paling dianggap penting oleh warga desa Sepaso Barat di Bengalon adalah Kekuatan Sinyal dan harga pulsa. Pada analisis kepuasan diperoleh hasil bahwa pengguna Telkomsel menunjukkan tingkat kepuasan tertinggi pada atribut tarif SMS dengan nilai rata-rata 7,9167 sedangkan pengguna Indosat menunjukkan tingkat kepuasan tertinggi pada atribut Tarif SMS mendapatkan produk dengan nilai rata-rata 7,0833.
Penerapan Algoritma Dijkstra dan Algoritma Semut pada Pendistribusian Barang Kimia Farma di Kota Samarinda Sarah Fadhilah; Wasono Wasono; Qonita Qurrota A'yun
Basis : Jurnal Ilmiah Matematika Vol 2 No 2 (2023): BASIS: Jurnal Ilmiah Matematika
Publisher : Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30872/basis.v2i2.1040

Abstract

Masalah pendistribusian barang dapat diselesaikan dengan beberapa metode, antara lain algoritma Dijkstra dan algoritma semut. Algoritma Dijkstra merupakan salah satu metode untuk mencari lintasan terpendek dalam suatu graf yang hanya memiliki bobot positif. Sedangkan algoritma Semut diadopsi dari perilaku koloni semut yang dikenal sebagai sistem semut. Secara alamiah, semut mampu menemukan rute terpendek dalam perjalanan dari sarang ke lokasi sumber makanan berdasarkan kepadatan jejak kaki yang dilalui. Penelitian ini bertujuan untuk memperoleh rute terpendek dan rute terbaik dengan menerapkan algoritma dijkstra dan algoritma semut pada pendistribusian produk di PT Kimia Farma Trading and Distribution kota Samarinda. Pendistribusian barang dilakukan dari titik awal yaitu PT Kimia Farma Trading and Distribution di Jalan Gurami No. 16 menuju ke delapan apotek di kota Samarinda. Berdasarkan hasil penelitian menggunakan algoritma Dijkstra, didapat jarak terpendek dari titik awal menuju ke apotek B di Jalan Pangeran Hidayatullah No. 27 sebesar 1,23 km, apotek C di Jalan Pangeran Diponegoro No.68 sebesar 2,3 km, apotek D di Jalan Sungai Pinang Dalam sebesar 4,42 km, apotek E di Jalan Ps. Pagi, Kec. Samarinda Kota sebesar 3,48 km, apotek F di Jalan KH. Agus Salim No.30 sebesar 3,33 km, apotek G di Jalan Palang Merah sebesar 5,63 km, apotek H di Jalan Dr. Sutomo No. 48 B sebesar 5,73 km dan apotek I di Jalan Jend. Ahmad Yani No. 3 sebesar 7,83 km. Algoritma semut memperoleh jalur terpendek pendistribusian dengan total jarak sebesar12,48 km dan kepadatan jejak kaki sebesar 0,25670
Co-Authors Aditiya Risky Tizona Asmaidi Clara Indriani Puspitasari Darnah, Darnah Desi Febriani Putri Diang Dewi Tamimi Fidia Deny Tisna Amijaya Ghony N Nurhuda Gracyella Niken Sekar Arum Hardina Sandariria Husna Novia Iin Fadliani Ika Purnamasari Ika Purnamasari Imalita Agustin Indriasri Raming Itsar Mangngiri Meiliyani Siringoringo Mita Asti Wulandari Moch Nurul Huda Moh. Nurul Huda Muhammad Rahmad Fadli Muliya Wiladi Neni Rahayu Nur Annisa Roziya Qonita Qurrota A'yun Qonita Qurrota A'yun Qonita Qurrota A'yun Qonita Qurrota A’yun Rito Goejantoro, Rito Sarah Fadhilah Sendy Clara Aprillia Sri Wigantono Suyitno Suyitno Syaripuddin Syaripuddin Taqriri Kamal Mulyadi Try Hardini Rahayu Mukti Yogie Pratama Kaindi Yoki Novia Nasution Yuki Novia Nasution Yuki Novia Nasution Yuki Novia Nasution Yuliana Yuliana Zulaiha Eka Saputri