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Sunarsih Sunarsih
Departemen Matematika, Fakultas Sains Dan Matematika Universitas Diponegoro, Jl. Prof. Sudarto, SH, Tembalang, Semarang, Indonesia 50275
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Journal : MATEMATIKA

 1 
MODEL PREDATOR DAN PREY DENGAN MODEL SUSCEPTIBLE - INFECTED – SUSCEPTIBLE HIDAYATI, FIRSTY Nur; SUNARSIH, SUNARSIH
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

 A predator-prey model with infected prey is an interaction between a predator and a prey population with infected prey. This model is a result of the predator-prey model with logistic growth in the prey population which is combined with Susceptible-Infected-Susceptible (SIS) model in the prey. The equations in this model are non linear differential equation with three dependent variables. In this system, is size of prey population at time , is the fraction of the prey that are infectious at time and is size of predator population at time . It is assumed that infected prey are vulnerable than by a factor . Stability analysis system is done to all five equilibriain this linearized. Each of stability in those equilibria points is based on theeigen values.  
SISTEM PENGENDALIAN PERSEDIAAN MODEL PROBABILISTIK "BACK ORDER POLICY" Ernawati, Yusti; sunarsih, Sunarsih
MATEMATIKA Vol 11, No 2 (2008): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

 Inventory represents the amount of reserved raw material to meet demand of consumers in certain period. If the demand is uncertain, the stock cuold be insufficient or becaming excessive. Therefore, it is required to device an optimal inventory rule which concerning all posible factors. In this paper, a probability inventory model with constraint will be applied on a case of back order policy. The constrains considered are budget constraint and storage capacity constraint. Lagrange Multipliers method with Kuhn-Tucker condition will be used to solve the model. Using this model, the company can determine the order quantity (Q), reorder point (r) and safety stock (Ss) at the optimal point by accomodating purchasing budget and storage capacities of existing raw material. The result of comparison study between this model with the inventory policy by company shows that this model is able to gives an optimal solution. So applying the model, the company is able to save inventory cost 2,42 % every year with consideration storage area capacities.  
ASURANSI KESEHATAN KUMPULAN UNTUK PERAWATAN RUMAH SAKIT munadi, MUnadi; sunarsih, Sunarsih
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Health insurance is a guarantee to minimize financial loss from sickness. Group health insurance spital care is health insurance. Health insurance used for Pegawai Negeri Sipil (PNS) and retering PNS and TNI/Polri and also their family that called ASKES service insurance. Computation hospital health insurance premiums affected by age and sex, also use Daily Hospital Benefit table for group health insurance, while ASKES service premiums based on class and work time and the computation and fixed by Departemen Keuangan Republik Indonesia. To difference between group health insurance premiums with ASKES service premiums for hospital care is grat 1:7.  
METODE SIMPLEKS PRIMAL MENGGUNAKAN WORKING BASIS sunarsih, Sunarsih; Ramdani, Ahmad Khairul
MATEMATIKA Vol 6, No 3 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Program linier yang mensyaratkan nilai variabelnya terbatas, maka fungsi tujuannya sanagat bergantung pada nilai variabel tersebut. Fungsi tujuan optimal mensyaratkan nilai variabel memenuhi batas-batasnya. Untuk menyelesaikan program linier ini, metode simpleks dimodifikasi sedemikian hingga didapatkan solusi optimal yang kemudian dikenal sebagai “metode simpleks primal menggunakan working basis”. Pencarian solusi basis fisibel dilakukan jika tiga kriteria optimalitas terpenuhi yaitu koefisien fungsi tujuan bernilai negatif variabelnya akan bernilai sama dengan batas atasnya, bernilai positif variabelnya akan bernilai sama dengan nol dan untuk variabel tanpa batas atas koefisien fungsi tujuannya non negatif.
MODEL DINAMIS RANTAI MAKANAN TIGA SPESIES Pratikno, Wiji Budi; Sunarsih, Sunarsih
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. Three species food chain models are model that express the interaction of three populations of prey, first predator and second predator populations. The models are derived from a combination of logistic growth model between prey population and predator population. Model that is used is a Holling type II functional response. The model consists of non linear differential equations with three dependent variables, there are  representing size of prey population at time ,  is size of  first predator population at time , and  is size of second predator population at time . From the result of stability analysis conducted on the food chain model of three species are found six equilibrium points based on the value eigen, and six cases of different stability.
PENERAPAN MATEMATIKA PADA SISTEM PEMBAYARAN DISKRET DAN KONTINU ASURANSI KEMATIAN Nuraeni, Gina; sunarsih, Sunarsih
MATEMATIKA Vol 12, No 1 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

As guarantee in a life insurance is which caused by death. The death results loss of income of someone or the family. With the result that, a life insurance provides a payment of specified amount upon the death of a given life. There are two systems in this payment, that the insurance payable at the moment of death (continuing insurance) and the insurance payable at the end of the year of death (discrete insurance). If life table are uniformly distributed, so there is a relationship that an immediate payment is equivalent on the average to a payment of  at the end of the year of death.  
MASALAH RUTE TERPENDEK PADA JARINGAN JALAN MENGGUNAKAN LAMPU LALU-LINTAS Studi Kasus: Rute Perjalanan Ngesrep – Simpang Lima P, Eko Budi; sunarsih, Sunarsih
MATEMATIKA Vol 6, No 2 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Permasalahan rute terpendek pada jaringan jalan yang menggunakan lampu lalu-lintas bertujuan untuk menentukan rute yang menghubungkan titik asal s dan titik tujuan j, yang mempunyai waktu perjalanan total minimum. Lampu lalu-lintas pada jaringan jalan ini diasumsikan hanya terdiri dari dua fase yaitu merah dan hijau, dengan periode waktu siklus adalah konstan. Permasalahan ini dapat direpresentasikan kedalam graph berarah, dengan waktu perjalanan untuk tiap-tiap jalan adalah bobot arc, dan waktu tunggu pada persimpangan jalan merupakan bobot titik. Waktu perjalanan dari titik asal ke titik tujuan dipengaruhi oleh dua faktor yaitu waktu perjalanan untuk tiap jalan dan waktu tunggu pada persimpangan jalan, dengan lamanya waktu tunggu diatur oleh lampu lalu-lintas. Untuk menyelesaikan permasalahan rute terpendek ini digunakan algoritma Ford Moore Bellman yang telah dimodifikasi. Pada studi kasus: rute perjalanan Ngesrep – Simpang Lima, dengan menggunakan algoritma ini diperoleh waktu perjalanan minimum dari rute tersebut adalah 10 menit 59 detik, melalui rute Setya Budi  Teuku Umar  Sultan Agung  Diponegoro  Pahlawan  Simpang Lima, dengan beberapa asumsi yaitu: kecepatan kendaraan ketika melewati rute ini adalah konstan yaitu 40 km/jam, tidak terdapat kemacetan pada rute tersebut dan kendaraan hanya berhenti di persimpangan jalan karena lampu lalu-lintas.
Co-Authors Achmad, Bromo Kusumo Adhina Rizkillah Harahap Amiadji Amiadji Ana Ana Astuti, Titi Bambang Irawanto Dhimas Mahardika Edi Jadmiko Ernawati, Yusti Erwin Azizi Jayadipraja, Erwin Azizi Febriyanti, Marwah Firsty Nur Hidayati Fuad Muhammad Gina Nuraeni Hendrarti, Etty Nuri Kurniawan, Muhamad Irfa’ Listyowati, Andang Andiani Mangidi, Muhammad Abdul Gafur Tirtayasa Meidar Sakinata Meniati, Meniati Munadi Munadi Nonny Helena Maria Simbolon P, Eko Budi P., Widiarso, B. Panca Putra Pemungkas Pemungkas, Panca Putra Prasetyowati, Ichsanul Arin Purwanto Purwanto Putri, Teti Deliany Rachel Alisia Agata Ramdani, Ahmad Khairul Redemtus Heru Tjahjana Rizaldi, Arie Nanda Rohman, Islah Sauqi Taufiqur Saputro, Agus Triwidodo Sari, Tuti Puspita Sawitri Sawitri Shelly Sholatan Kamilah Solikhin Solikhin Suryoto Suryoto sutimin sutimin Sutrisno, Sutrisno Sutrisno, Sutrisno Titi Udjiani SRRM Ulum, Mar’ah Miftachul Wahyu Setia Budi Widowati, Widowati Wiji Budi Pratikno Wulandari, Jayanti