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AUTOMORFISMA GRAF WARNA CAYLEY YANG DIBANGUN OLEH SUATU GRUPOID Bety Dian Kristina Ningrum; Bambang Irawanto
Jurnal Matematika Vol 1, No 1 (2012): jurnal matematika
Publisher : MATEMATIKA FSM, UNDIP

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Groupoid G adalah suatu himpunan tak kosong yang tertutup terhadap operasi biner,himpunan generator A grupoid merupakan subset dari grupoid dimana setiap elemen grupoid dapatditulis sebagai hasilkali berhingga pada elemen generator.

OPTIMALISASI SISTEM ANTRIAN PELANGGAN PADA PELAYANAN TELLER DI KANTOR POS (STUDI KASUS PADA KANTOR POS CABANG SUKOREJO KENDAL) Diyan Mumpuni; Bambang Irawanto
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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ABSTRAK. The problem occurs because there is a queue length of the queue at service facilities, or the presence of maids who are unemployed at the time of service due to vacancy queue. Services providers that can not be separated from the issue queue is the Post Office. queuing theory is used to determine the queuing model that can represent the state at the service counter, and to optimize the service time at the service counter. Queuing model of optimal service counter at the Post Office is model queue. The highest number of customer arrivals during the study time on each date that is 20, if model is applied on these days can lead to a buildup of the queue, so the queue model is used to optimally serve the customer every 20 is model queue.

ANALISIS PENJADWALAN DISTRIBUSI PUPUK BERSUBSIDI MENGGUNAKAN METODE DISTRIBUTION REQUIREMENT PLANNING (DRP) (STUDI KASUS PADA PT. PETROKIMIA GRESIK) Dewi Sukmawati; Bambang Irawanto
Jurnal Matematika Vol 3, No 2 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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ABSTRACT. The Distribution of products in PT. Petrokimia Gresik carried out on the demand of consumers of each district in the province. The distribution is run on irregular or random, either in time or quantity distribution. Activity affects the distribution of the total cost of inventory the company issued in the procurement of supplies, therefore the company needs to pay close attention to the application System of distribution’s activity to optimize the distribution of subsidized fertilizer schedule in order to maintain time and cost efficiency. Distribution Requirement Planning (DRP) is a method for handling the procurement of supplies in a multi-level distribution network. DRP method relates to the size of ordering lot and the amount of safety stock. DRP method reduce the total cost of inventory and the frequency distribution of activity by determining the distribution of effective scheduling in consideration that the distribution is done in accordance lot size or multiples thereof and the amount of safety stock required. From the research, the activity of distribution schedule of subsidized fertilizer is obtained in Region DC of Lampung in 2013 with the total stockpile cost 7.875.167.077 IDR of inventory at PT. Petrokimia Gresik within 9 months. Distribution of subsidized fertilizer each product that executed simultaneously on day 22 in each period to the 4 buffer warehouses in Lampung region. Keywords:

Penerapan Metode Program Linear dan Analisis Sensitivitas Pada Optimalisasi Produksi Jenang Karomah (Studi Kasus Pada PJ.Karomah Kudus) Novita Hariyani; Bambang Irawanto
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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ABSTRAK. Optimalisasi produksi Jenang Karomah PJ.Karomah Kudus menjadi sebuah hal yang penting untuk memaksimalkan laba dengan cara mengoptimalkan penggunaan bahan baku. Program linear dengan metode simpleks adalah metode yang tepat untuk mengetahui jenang varian manakah yang memberikan keuntungan yang paling maksimal. Analisis sensitivitas dilakukan untuk batas – batas perubahan nilai pada fungsi tujuan maupun fungsi kendala, dengan tetap diperoleh tujuan yang optimal. Metode enumerasi implisit digunakan untuk mencari solusi optimal pemilihan memasak jenang yang sesuai dengan keadaan nyata di lapangan. Pengoptimalan produksi Jenang Karomah dengan program linear menghasilkan Jenang Sirsak, Jenang Mellon Strawberry, dan Jenang Durian memberikan keuntungan yang paling optimal dalam 1 kali periode memasak jenang dengan 60,0005 kg Jenang Sirsak, 9,9995 kg Jenang Mellon Strawberry, 175 kg Jenang Durian. Setelah dihitung dengan integer programming didapatkan solusi bahwa jenang yang dimasak dalam satu periode memasak untuk menghasilkan yang paling optimal adalah Jenang Wijen, Jenang Sirsak, Jenang Ketan Hitam, Jenang Kacang Hijau, Jenang Coklat Susu, Jenang Mellon Strawberry dan Jenang Durian yang apabila jenang-jenang tersebut dimasak dalam 1 periode memasak akan menghasilkan laba sebesar Rp. 2.162.834,00.

KONGRUENSI PADA SEMIALJABAR ATAS HEMIRING SaniMusyafa Hikam; Bambang Irawanto
Jurnal Matematika Vol 1, No 1 (2012): jurnal matematika
Publisher : MATEMATIKA FSM, UNDIP

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A hemiringR is called S -semialgebra if R is a left and right semi module over S satisfying axb=a(xb) for all a,b ∈S and x∈R . On the S -semialgebra R can be defined a congruence. A congruence on the S -semialgebra R is any congruence on the hemiring R which is both a left and right compatible for any multiplication by element of S . Therefore, the properties of congruence on a hemiring can be generalized to congruence on a semi algebra over a hemiring

Penerapan Metode Program Linear dan Analisis Sensitivitas Pada Optimalisasi Produksi Jenang Karomah (Studi Kasus Pada PJ.Karomah Kudus) Novita Hariyani; Bambang Irawanto
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (400.904 KB)

ABSTRAK. Optimalisasi produksi Jenang Karomah PJ.Karomah Kudus menjadi sebuah hal yang penting untuk memaksimalkan laba dengan cara mengoptimalkan penggunaan bahan baku. Program linear dengan metode simpleks adalah metode yang tepat untuk mengetahui jenang varian manakah yang memberikan keuntungan yang paling maksimal. Analisis sensitivitas dilakukan untuk batas – batas perubahan nilai pada fungsi tujuan maupun fungsi kendala, dengan tetap diperoleh tujuan yang optimal. Metode enumerasi implisit digunakan untuk mencari solusi optimal pemilihan memasak jenang yang sesuai dengan keadaan nyata di lapangan. Pengoptimalan produksi Jenang Karomah dengan program linear menghasilkan Jenang Sirsak, Jenang Mellon Strawberry, dan Jenang Durian memberikan keuntungan yang paling optimal dalam 1 kali periode memasak jenang dengan 60,0005 kg Jenang Sirsak, 9,9995 kg Jenang Mellon Strawberry, 175 kg Jenang Durian. Setelah dihitung dengan integer programming didapatkan solusi bahwa jenang yang dimasak dalam satu periode memasak untuk menghasilkan yang paling optimal adalah Jenang Wijen, Jenang Sirsak, Jenang Ketan Hitam, Jenang Kacang Hijau, Jenang Coklat Susu, Jenang Mellon Strawberry dan Jenang Durian yang apabila jenang-jenang tersebut dimasak dalam 1 periode memasak akan menghasilkan laba sebesar Rp. 2.162.834,00.

GRAF DIVISOR CORDIAL Deasy Bunga Agustina; Bambang Irawanto
Jurnal Matematika Vol 2, No 4 (2013): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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ABSTRACT.A Let G = (V, E) be a graph and bijection map f:V → {1,2,..| V |}. For every edge uv∈E assign the label 1 if either f(u) divide out of f(v) or f(v) divide out of f(u) and assign the label 0 otherwise. A mapping f is called divisor cordial labeling if the difference between the number of edges having labels 0 and the number of edges having labels 1 which is to equal or less one. A graph has a divisor cordial labeling is called divisor cordial graph. Some special classes of graphs such as full binary tree graph, G*K_(2,n) graph, G*K_(3,n) graph where n even, G=<K_(1,n)^((1)),K_(1,n)^((2))> graph, G=<K_(1,n)^((1)),K_(1,n)^((2)),K_(1,n)^((3))> graph and sun graph〖 C〗_(n ) (〖.K〗_1 ) ̅ are divisor cordial.Keywords : divisor cordial labeling, full binary tree graph, G*K_(2,n) graph, G*K_(3,n) graph, G=<K_(1,n)^((1)),K_(1,n)^((2))> graph, G=<K_(1,n)^((1)),K_(1,n)^((2)),K_(1,n)^((3))> graph and sun graph

The forecasting of palm oil based on fuzzy time series-two factor Ratri Wulandari; Bayu Surarso; Bambang Irawanto; Farikhin Farikhin
Journal of Soft Computing Exploration Vol. 2 No. 1 (2021): March 2021
Publisher : SHM Publisher

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Palm oil is a vegetable oil obtained from the mesocarp fruit of the palm tree, generally, from the species, Elaeis guineensis, and slightly from the species Elaeis oleifera and Attalea maripa. Palm oil is naturally red due to its high alpha and beta-carotenoid content. Palm kernel oil is different from palm kernel oil produced from the same fruit core. Planning for palm oil production is necessary because it greatly affects to the level of the country’s economy. Forecasting can reduce uncertainty in planning. Forecasting used in the palm oil problem is two-factor forecasting using the Kumar method with uama factors in the form of palm oil production and supporting factors in the form of land area. The forecasting is evaluated using AFER and MSE, from the acquisition of AFER value of 1.212% <10%, then the forecasting has very good criteria.

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