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Model Three-Level Dual-Channel Supply Chain pada Sistem Sentralisasi dengan Memertimbangkan Waktu Tunggu Pengiriman Ramadhani, Shinta Nur Pratiwi; Setiyowati, Ririn; Martini, Titin Sri
d'CARTESIAN:Jurnal Matematika dan Aplikasi Vol 9, No 1 (2020): Maret 2020
Publisher : Universitas Sam Ratulangi

AbstrakEra pasar global telah mengubah kebiasaan konsumen dalam membeli produk, sehingga konsumen dapat membeli produk melalui media online. Oleh karena itu, produsen mengembangkan media penjualannya melalui media online dan offline. Pada penelitian ini dikembangkan model three-level dual-channel supply chain dengan memertimbangkan waktu tunggu pengiriman pada penjualan melalui media online yang dilakukan oleh produsen serta mengembangkan media penjualan distributor sehingga distributor dapat menjual produk secara langsung ke konsumen. Konstruksi model bertujuan untuk mengoptimalkan keuntungan gabungan produsen, distributor, dan pengecer dengan sistem sentralisasi. Fungsi keuntungan gabungan merupakan fungsi nonlinear tanpa kendala dengan tiga variabel keputusan yaitu harga jual produsen pada media online, harga jual distributor langsung ke konsumen, dan harga jual pengecer ke konsumen. Selanjutnya, ditentukan solusi optimal model berdasarkan syarat perlu dan syarat cukup untuk fungsi multivariabel tanpa kendala. Berdasarkan simulasi numerik dan analisis sensitivitas dapat dilihat pengaruh faktor waktu tunggu pengiriman terhadap fungsi keuntungan gabungan yang optimal. Ditunjukkan bahwa lamanya waktu tunggu pengiriman sangat berpengaruh pada besarnya keuntungan optimal gabungan produsen, distributor, dan pengecer.Kata Kunci: Sentralisasi, Three-Level, Waktu TungguAbstractThe global market era changes the consumer behavior to shop the product, so the consumer can buy through online channel. Therefore, the producer develop the selling channel to sell their products through online channel and offline channel. In this research, we develop the three-level dual-channel supply chain by notice delivery lead time in the online channel used by the producer and develop selling channel from distributors so distributors can sell their product to consumer with direct selling. We construct the model with profit maximization motive of the system that consists producer, distributors, and retailer in the centralize system. The total profit function is nonlinear function without constrains with three decision variables. Furthermore, we determine the optimal solution of the model based on necessary and sufficient condition. Based on numerical simulations and sensitivity analysis we analyze the effect of delivery lead time strongly influences the optimal total profit system.Keywords: Centralize, Lead Time, Three-Level

INDUCTION OF TECHNOLOGY AS A MEANS OF IMPROVING BUSINESS COMPETITIVENESS IN CREATIVE INDUSTRY Tri Atmojo Kusmayadi; Titin Sri Martini; Diari Indriati; Putranto Hadi Utomo; Bowo Winarno; Nugroho Arif Sudibyo
JCES (Journal of Character Education Society) Vol 4, No 4 (2021): Oktober
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jces.v4i4.5682

Abstrak: Mitra dalam program kemitraan masyarakat ini merupakan UMKM yang bergerak dibidang industri kreatif. UMKM yang berlokasi di Kecamatan Ngemplak Kabupaten Boyolali ini, berfokus menghasilkan produk-produk berbasis meubel. Tujuan induksi teknologi ini untuk mendorong produktivitas dan kreativitas UMKM sehingga dapat dimanfaatkan untuk meningkatkan daya saing usaha. Secara khusus, penerapan induksi teknologi ini berbentuk implementasi website penjualan untuk memperluas pemasaran. Tahapan pelaksanaan kegiatan menggunakan metode 4P yaitu Pengamatan permasalahan mitra, Penerapan induksi teknologi, Pelatihan mitra dan Pendampingan mitra. Hasil yg diperoleh dari kegiatan ini adalah telah terbangunnya website dengan CMS WordPress dan berbasis bahasa pemrograman PHP untuk UMKM mitra. Selanjutnya diadakan pelatihan penggunaan website tersebut. Peserta antusias dalam mengikuti kegiatan yang telah dilakukan oleh tim pengabdi. Hal ini dapat dilihat pada saat kegiatan terjadi interaksi antara peserta dengan pemateri.Abstract: Partners in this community partnership program are MSMEs engaged in the creative industry. This UMKM, which is located in Ngemplak District, Boyolali Regency, focuses on producing furniture-based products. The purpose of this technology induction is to encourage the productivity and creativity of UMKM so that they can be used to increase business competitiveness. In particular, the application of this technology induction takes the form of implementing a sales website to expand marketing. The stages of implementing the activities using the 4P method are Observing partner problems, Application of technology induction, Partner training, and partner assistance. The results obtained from this activity are the construction of a website with a WordPress CMS and PHP-based programming language for partner MSMEs. Furthermore, training on the use of the website was held. Participants were enthusiastic in participating in the activities carried out by the service team. This can be seen when the activity occurs when there is an interaction between participants and presenters.

Bootstrap Residual Ensemble Methods for Estimation of Standard Error of Parameter Logistic Regression To Hypercolesterolemia Patient Data In Health Laboratory Yogyakarta Fransiska Grace S.W.; Sri Sulistijowati Handajani; Titin Sri Martini
Indonesian Journal of Applied Statistics Vol 1, No 1 (2018)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijas.v1i1.24086

Logistic regression is one of regression analysis to determine the relationship between response variable that have two possible values and some predictor variables. The method used to estimate logistic regression parameters is the maximum likelihood estimation (MLE) method. This method will produce a good estimate of the parameters if the estimation results have a small standard error.In a research, the characteristics of good data must be representative of the population. If the samples taken in small size they will cause a large standard error value. Bootstrap is a resampling method that can be used to obtain a good estimate based on small data samples. Small data will be resampling so it can represent the population to obtain minimum standard error. Previous studies have discussed resampling bootstrap on residuals as much as b times. In this research we will be analyzed resampling bootstrap on the error added to the dependent variable and take the average parameter estimation ensemble logistic regression model resampling result. Next we calculate the standard value error logistic regression parameters bootstrap results.This method is applied to the hypercholesterolemic patient status data in Health Laboratory Yogyakarta and after bootstrapping, the standard error produced is smaller than before the bootstrap resampling.Keywords : logistic regression, standard error, bootstrap resampling, parameter estimation ensemble

DIMENSI METRIK LOKAL PADA GRAF FLOWER DAN GRAF GEAR KORONA GRAF LINTASAN Salma Fauziyah Ashim; Tri Atmojo Kusmayadi; Titin Sri Martini
Pattimura Proceeding 2021: Prosiding KNM XX
Publisher : Pattimura University

Misal G merupakan graf terhubung dan sederhana dengan V (G) merupakan himpunan titik. Jarak dari dua titik u dan v pada graf G merupakan panjang lintasan terpendek diantara titik u dan titik v yang dinotasikan d(u, v). Himpunan W ⊂ V (G) dan v ∈ V (G). Jika W = {w1, w2, w3, ..., wn} maka representasi dari titik v terhadap W adalah n-pasang terurut, yaitu r(v|W ) = (d(v, w1), d(v, w2), d(v, w3), ..., d(v, wn)). Suatu himpunan W disebut sebagai himpunan pembeda lokal jika r(u|W ) ̸= r(v|W ) untuk setiap pasang titik u dan v yang saling bertetangga pada graf G. Jumlah anggota minimum dari himpunan pembeda lokal disebut basis metrik lokal dari graf G dan banyaknya anggota pada basis disebut dimensi metrik lokal dari graf G yang dinotasikan diml(G). Tujuan penelitian ini yaitu mampu menentukan dimensi metrik lokal pada graf flower d an g raf g ear k orona g raf l intasan. Diperoleh hasil penelitian bahwa dimensi metrik lokal pada graf flower yaitu diml(F l n) = 3 untuk n = 3, diml(F ln) = n − 2 untuk n ≥ 4. Sementara itu, dimensi metrik lokal pada graf gear korona graf lintasan yaitu diml(Gm ⊙ Pn) = 1 untuk m ≥ 3 dan n = 1, diml(Gm ⊙ Pn) = 2m + 1 untuk m ≥ 3 dan 2 ≤ n ≤ 5, diml(Gm ⊙ Pn) = (2m + 1)⌊n+2 ⌋ untuk m ≥ 3 dan n ≥ 6.

PENERAPAN KODE REED SOLOMON PADA KRIPTOSISTEM MCELIECE Rizki Eka Oktavia; Putranto Hadi Utomo; Titin Sri Martini
FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Vol 9, No 1 (2023): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Publisher : Fakultas Ilmu Pendidikan Universitas Muhammadiyah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24853/fbc.9.1.79-88

Era modern ini, keamanan pesan dalam suatu transmisi tergolong lemah. Berbagai algoritme kriptosistem rentan dipecahkan oleh komputer kuantum yang mampu menyelesaikan perhitungan lebih cepat dibanding komputer konvensional. Kriptosistem McEliece tergolong aman digunakan pasca komputer kuantum karena memanfaatkan kode pengoreksi eror. Algoritmenya didasarkan pada penambahan eror pada pesan sehingga pesan tersandi dan tidak dapat diserang oleh pihak lain. Kode Reed Solomon merupakan kode berbasis koreksi eror dengan parameter tertentu. Pada artikel ini akan dijelaskan penerapan kode Reed Solomon dengan panjang 15 bit yang dapat mengoreksi hingga 3 eror pada kriptosistem McEliece.

Model Three-Level Dual-Channel Supply Chain pada Sistem Sentralisasi dengan Memertimbangkan Waktu Tunggu Pengiriman Shinta Nur Pratiwi Ramadhani; Ririn Setiyowati; Titin Sri Martini
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 9 No. 1 (2020): Maret 2020
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.9.1.2020.27849

AbstrakEra pasar global telah mengubah kebiasaan konsumen dalam membeli produk, sehingga konsumen dapat membeli produk melalui media online. Oleh karena itu, produsen mengembangkan media penjualannya melalui media online dan offline. Pada penelitian ini dikembangkan model three-level dual-channel supply chain dengan memertimbangkan waktu tunggu pengiriman pada penjualan melalui media online yang dilakukan oleh produsen serta mengembangkan media penjualan distributor sehingga distributor dapat menjual produk secara langsung ke konsumen. Konstruksi model bertujuan untuk mengoptimalkan keuntungan gabungan produsen, distributor, dan pengecer dengan sistem sentralisasi. Fungsi keuntungan gabungan merupakan fungsi nonlinear tanpa kendala dengan tiga variabel keputusan yaitu harga jual produsen pada media online, harga jual distributor langsung ke konsumen, dan harga jual pengecer ke konsumen. Selanjutnya, ditentukan solusi optimal model berdasarkan syarat perlu dan syarat cukup untuk fungsi multivariabel tanpa kendala. Berdasarkan simulasi numerik dan analisis sensitivitas dapat dilihat pengaruh faktor waktu tunggu pengiriman terhadap fungsi keuntungan gabungan yang optimal. Ditunjukkan bahwa lamanya waktu tunggu pengiriman sangat berpengaruh pada besarnya keuntungan optimal gabungan produsen, distributor, dan pengecer.Kata Kunci: Sentralisasi, Three-Level, Waktu TungguAbstractThe global market era changes the consumer behavior to shop the product, so the consumer can buy through online channel. Therefore, the producer develop the selling channel to sell their products through online channel and offline channel. In this research, we develop the three-level dual-channel supply chain by notice delivery lead time in the online channel used by the producer and develop selling channel from distributors so distributors can sell their product to consumer with direct selling. We construct the model with profit maximization motive of the system that consists producer, distributors, and retailer in the centralize system. The total profit function is nonlinear function without constrains with three decision variables. Furthermore, we determine the optimal solution of the model based on necessary and sufficient condition. Based on numerical simulations and sensitivity analysis we analyze the effect of delivery lead time strongly influences the optimal total profit system.Keywords: Centralize, Lead Time, Three-Level

On Reverse Super Edge Bimagic Labeling of Gear Graph, Hibiscus Graph and Dove Tail Graph Martini, Titin Sri; Indriati, Diari; Kusmayadi, Tri Atmojo
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 10, No 2 (2024)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.v10i2.21944

A simple graph G(V,E) admits a reverse super edge bimagic labeling if there exists a bijection function ζ that taking the vertices u,w ∈ V(G) that incident on edge uw such that the sum of vertex labels incident on edge uw is subtracted from edge label are two different constants τ1 and τ2. The reverse edge bimagic labeling is said to be reverse super edge bimagic labeling if the labels of vertices are 1,2, . . . , |V(G)| and the labels of edges are |V(G)|+1, |V(G)|+2, . . . , |V(G)|+|E(G)|. In this paper we investigate that gear graph, dove tail graph, and hibiscus graph admits a reverse super edge bimagic labeling.

EDGE IRREGULAR REFLEXIVE LABELING ON ALTERNATE TRIANGULAR SNAKE AND DOUBLE ALTERNATE QUADRILATERAL SNAKE Zalzabila, Lutfiah Alifia; Indriati, Diari; Martini, Titin Sri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss4pp1941-1948

Let G in this paper be a connected and simple graph with set V(G) which is called a vertex and E(G) which is called an edge. The edge irregular reflexive k-labeling f on G consist of integers {1,2,3,...,k_e} as edge labels and even integers {0,2,4,...,2k_v} as the label of vertices, k=max{k_e,2k_v}, all edge weights are different. The weight of an edge xy in G represented by wt(xy) is defined as wt(xy)= f (x)+ f (xy)+ f (y). The smallest k of graph G has an edge irregular reflexive k-labeling is called the reflexive edge strength, symbolized by res (G). In article, we discuss about edge irregular reflexive k-labeling of alternate triangular snake A(T_n ) and the double alternate quadrilateral snake DA(Q_n ). In this paper, the res of alternate triangular snake A(T_n ) , n≥3 has been obtained. That is ⌈(2n-1)/3⌉ for n even,2n-1≢2,3 (mod 6),⌈(2n-1)/3⌉+1 for n even,2n-1=2,3 (mod 6),⌈(2n-2)/3⌉ for n odd,2n-2≢2,3 (mod 6), and ⌈(2n-2)/3⌉+1 for n odd,2n-2=2,3 (mod 6). Then, the reflexive edge strength of double alternate quadrilateral snake DA (Q_n) ⌈ (4n-1 )/3⌉for n even, 4n - 1 ≠2,3 (mod 6), ⌈ (4n-1 )/3⌉+1 for n even, 4n - 1 = 2,3 (mod 6), ⌈ (4n-4)/3⌉ for n odd, 4n - 4 ≠2,3 (mod 6), and ⌈ (4n-4 )/3⌉+1 for n odd, 4n - 4 = 2,3 (mod 6).

EDGE IRREGULAR REFLEXIVE LABELING OF DUMBBELL GRAPH, CORONA OF OPEN LADDER, AND NULL GRAPH Zalsa, Thetania Miftakul; Indriati, Diari; Martini, Titin Sri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 4 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss4pp2767-2778

Graph is a simple, connected, undirected graph with vertex set and edge set . A graph is called to have an edge irregular reflexive -labeling if its vertices can be labeled with even numbers from until and its edges can be labeled with positive integers from to such that the weights for all the edges are different, where . The weight of edge uv in graph with labeling, denoted by , is defined as sum of the edge label and all vertex labels incident to that edge. The reflexive edge strength of a graph , denoted by , is the value of minimum of the largest label. In this paper, edge irregular reflexive -labeling for Dumbbell Graph and corona of open ladder and null graph will be determined. The reflexive edge strength of the Dumbbell Graph with and is for and for The reflexive edge strength of the corona of open ladder and null graph with n ≥ 3 and m ≥ 1 is for and for .

Dimensi Metrik pada Graf Bintang Kipas dan Graf Bunga Sepatu Khusniyatinna'im, Layinatu; Kusmayadi, Tri Tri Atmojo; Martini, Titin Sri
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 2 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i2.3455

Let be a connected graph with set of vertices and set of edges . The distance from two distinct vertices , denoted by , is the length of the shortest path from and in . Let be an ordered subset of . For any vertex , the representation of vertex with respect to is defined as k-ordered pairs . The set is said to be the resolving set of if every two vertices differ then . The basis of is the resolving set of with the smallest cardinality. The cardinality of the base is defined as metric dimension, and is denoted by . This research aims to find the metric dimension of fan star graph and hibiscus graph. The research method in this research is a literature study. The result of this research are as follow the metric dimension of the fan star graph are for and and for dan , then the metric dimension of the hibiscus gaph are for and for .

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