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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
ISSN : -     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
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Articles 8 Documents
 1 
Search results for , issue "Vol 12, No 3 (2009): JURNAL MATEMATIKA" : 8 Documents clear
ANALISIS LINTASAN KRITIS JARINGAN PROYEK DENGAN PENDEKATAN ALJABAR MAX-PLUS Rudhito, Andi; wahyuni, sri; suparwanto, Ari; Susilo, F
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

This paper proposes a method to critical path analysis in the project network using max-plus algebra approach.  The project network would be represented as a matrix over max-plus algebra. The dynamic of the project would be modeled and analyzed using max-plus algebra approach. The critical path analysis consists of determining earliest start time, latest completion time and float time. The finding show that the dynamic of the project is could be modeled in a systems of max-plus linear equations. The earliest start times of every node in the project are the solution of the system. The latest completion times of every node in the project are the solution of the modified system. The float time of every activity in the project could be detemined by modify and do some matrices operation over earliest start time vector and latest completion time vector. An example for modeling and computing a project using MATLAB example show that the result was appropriated with the critical path method (CPM).
KOMPUTASI KERUGIAN LINTASAN SINYAL DENGAN MODEL HATA Suhartono, Suhartono
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Signal is a wave that can be expressed by physical phenomenon. Mathematically signal wave can be represented as a function of single or many independent variables, for example signal wave over building as a function of distance or time. In fact, signal spreading as a wave have many attenuation, for example is caused by difraction  when the signal over the urban area or building. The purpose of the research  is to present  the signal path loss model in the urban area by using Hata model. The  result of the computation has shown  that the decreasing of the  signal  path  loss in urban area can be effected by  the increasing of  the receiver antenna height.  
VALUATION OF LONG TERM CARE (LTC) HEALTH INSURANCE CONTRACT USING MULTISTATE MODEL Adhitya Ronie Effendi
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, we are using multistate model to evaluate Long Term Care (LTC) health insurance contract. Some products in LTC contract such as stand alone Annuity, LTC as a rider benefit, Enhanced pension and Insurance package are discussed. We use Discrete Time Markov Chains (DTMC) to model health status of each of the patients. Every time, a patient is exposed to one of the status that already set in the status space, for example: health, ill and death. We also consider evaluating premiums and reserves generated by this model which also useful for the practioneers and insurance companies.  
OPTIMAL GROVES MECHANISM AND OPTIMAL MECHANISM DESIGN Purisha, Zenith
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we will discuss about mechanisms design, the mechanisms used to implement optimal market structure with private fixed cost of N firms. The discussion includes definitions, goal, concepts, basic assumptions of mechanism, properties of feasible mechanism, Revenue Equivalence Theorem, and Groves mechanism. Moreover, we discuss the optimal Groves mechanism and optimal mechanism. There are two things involved in both mechanisms, those are social welfare and tax revenue.  
INTEGRASI NUMERIK MENGGUNAKAN METODE GAUS KUADRATUR DENGAN PENDEKATAN INTERPOLASI HERMIT DAN POLINOMIAL LEGENDRE Sutrisno sutrisno; R. Heri Soelistyo
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Gaus Quadrature Formula is better alternative than Newton Cotes Formula. The principal of Gaus Quadrature Formula determine unequal interval to minimize the error of approximation of integration. Formulation Gaus Quadrature on limited interval for numerical integration can use Hermite Interpolation Formula. Then, using the properties of Legendre polynomial which orthogonal on [-1,1] can determined nodes and weights. So, based on nodes and weight can be determined a Gaus – Legendre Quadratur Formula.           
ANALISIS KESTABILAN MODEL DINAMIK NITROGEN DAN HUBUNGANNYA DENGAN PERTUMBUHAN LOGISTIK ALGA widowati, widowati; sutimin, sutimin; ps, hermin; is, Tarita
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The nitrogen dynamics model  related to algae growth is proposed. The form of the model is nonlinear differential equation system. From these model, the stability of the equilibrium point is disscussed. The stability is analized through the eigen values of the Jacobian matrix that is obtained from linearized system.  From the simulation results is found that ammonia-nitrogen, nitrite-nitrogen, and nitrate-nitrogen concentration will achieve to a certain value. The changed of ammonia-nitrogen, nitrite-nitrogen,  and nitrate-nitrogen concentration are effected by the algae density. If the alga density increase then the ammonia-nitrogen and nitrite-nitrogen concentrations will increase but the nitrate concentration will decrease.  
ANALISA KESTABILAN MODEL SIRC UNTUK INFLUENZA TIPE A sari, Eminugroho Ratna Sari Ratna
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Influenza is a disease caused by virus that always changes genetically. This paper will explain the spread of influenza type A. We introduce cross-immune (C) class i.e., those that recovered after being infected by different strains of the same viral subtype in the past years. Generally, the mathematical model for the spread of influenza A has two kinds of equilibrium point: free disease equilibrium and endemic equilibrium. Furthermore, the equilibrium point of system is investigated its stability. There is no influenza in the nature if contact rate less than sum of death rate and recovery rate. Then, there is influenza in the nature if contact rate more than sum of death rate and recovery rate    
KONSTRUKSI LEXICOGRAPHIC UNTUK MEMBANGUN KODE HAMMING (7, 4, 3) Aini, Aurora Nur; Irawanto, Bambang
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Hamming code can correct single error in massages transmission. Hamming codes can be constructed by Lexicographic codes. Lexicographic construction is a greedy algorithm that produces error correcting codes known as lexicographic codes. There are two ways to construct lexicographic codes. They are greedy construction and lexicographic constructions. Given codes with minimum distance d and length n. To construct the greedy algorithm, the codeword with length n are processed in some fixed order, and the next codeword is inserted in the code when its distance from all codewords previously selected is  d. The Lexicographic Construction is a different approach with a goal to speed up the process of generating lexicodes by storing the reusable information in the memory.  

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