Browsing by Author "Aziskhan"

Now showing 1 - 20 of 22
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    ANUITAS DUE PADA STATUS HIDUP PERORANGAN BERDASARKAN FORMULA WOOLHOUSE
    (2013-03-26) Purwanti, Sri; Kho, Johannes; Aziskhan
    A formula called Woolhouse formula that obtained based on approach the Euler Maclaurin formula are discussed. Then Woolhouse formula is used to calculate present value of an annuity with payable m times a year. Here, n year temporary of an annuity-due is used. This study is a review of the work done by David C.M. Dickson, Mary R Hardy and Howard R. Waters Actuarial Mathematics for Life Contingencies Risk. 3: 132-136 (2009)
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    ATURAN NEWTON-COTES TERTUTUP DENGAN KOREKSI PADA UJUNG INTERVAL
    (2017-01-10) Putra, Rifaldi; Aziskhan
    This article discusses closed Newton-Cotes rules with end corrections which are a modi cation of the closed Newton-Cotes rules to approximate the de nite integral. Numerical comparisons using two de nite integrals show that the closed Newton- Cotes rules with end corrections are better than the closed Newton-Cotes rules in terms of error produced by the rules.
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    CADANGAN ASURANSI JIWA CONTINGENT BERDASARKAN DISTRIBUSI MAKEHAM DENGAN METODE PREMIUM SUFFICIENCY
    (2016-04-27) Harun, Susmitha; Hasriati; Aziskhan
    This article discusses the reserve life insurance contingent for two persons at the age of x and y years old. Contingent life insurance is an insurance whose payments are based on the sequence of the deceased insured. The calculation of the reserve usesthe method of premium sufficiency, where the calculation considers the management expenses of company, assumingas gross premium. Gross premium calculation is acquired in advance by determining the present value of life annuity and net premium where these calculations are based on Makeham distribution.
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    CADANGAN PREMI PENSIUN METODE PROJECTED UNIT CREDIT DAN ASUMSI TINGKAT BUNGA HO LEE
    (2016-04-27) Ramadhanis, Fitri; Hasriati; Aziskhan
    This article discusses the prospective reserves with interest rate models of Ho-Lee for pension premium reserve of Projected Unit Credit method. Interest rate models of Ho- Lee is a normally distributed no-arbitrage interest rate model and is expressed by stochastic differential equations that follows the Ito’s process. Interest rate models of Ho-Lee has parameters to be estimated is  k  dan  . To determine the parameter estimations is used MLE (maximum likelihood estimation) for  and Svensson models for  k  and then followed by a numerical approach using Newton Raphson method.
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    CADANGAN PROSEKTIF ASURANSI JIWA DWIGUNA BERDASARKAN ASUMSI CONSTANT FORCE
    (2013-06-12) Mustika, Tiara; Kho, Johannes; Aziskhan
    This article discusses a constant force assumption which is used to determine prospective reserve of an endowment life insurance. The constant force assumption is a probability density function of exponential distribution, hence it can be used in a reserve premium calculation. The reserve premium available in life insurance company is affected by how big the premium paid by the insurance client.
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    Developing A Direct Search Algorithm for Solving The Capacitated Open Vehicle Routing Problem
    (2017-10-26) Aziskhan; Pane, Rolan; Natsir, M; Sirait, Asli; Kho, Johannes
    In open vehicle routing problems, the vehicle are not required to return to the depot after completing service. In this paper, we present the first exact optimization algorithm for the open version of the well-known capacited vehicle routing problem (CVRP). The strategy of releasing nonbasic variables from their bounds, combined with the “active constraint” method and the notion of superbasics, has been developed for efficienty requirments, this strategy is used to force the appropriate non-integer basic veriables to move to their neighbourhood integer points. A study of criteria fr choosing a nonbasic variable to work with in the inegerizing strategy has also been made. Succesful implementation of these algorithms was achieved on various test problem
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    Fungsi Dari Suatu Matriks
    (2017-10-16) Aziskhan; Pane, Rolan; Natsir, M; Kho, Johannes
    Suatu kajian fungsi dari suatu variabel dalam aljabar yang cukup penting adalah Evaluasi Fungsi suatu matriks yang menganalisa berbagai bentuk fungsi dari matriks yaitu integral , pangkat pecahan , eksponensial , logaritma , Trigonometri dan fungsi hiperbolic. Terdapat dua metode pendekatan untuk mengevaluasi fungsi dari matriks yaitu metode langsung dari perluasan diagonalisasi dari matriks itu sendiri dan metode dasar dari eksistensi polinomial minimum dari perluasan fungsi suatu matriks.
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    GENERALISASI RATA-RATA PANGKAT METODE NEWTON
    (2016-02-04) Amrullah, Haikal; Aziskhan
    This article discusses the generalized power mean modification of Newton’s method to solve nonlinear equations obtained by modifying Newton’s method using a trapezoidal quadrature formula. It is analytically demonstrated that the method has convergence order of three or five. Computational results support the analytical studies. Numerical simulations show that the method is comparable with other discussed methods
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    Keterkaitan Ketaksamaan Nilai Singular Pada Pemetaan Linier
    (2017-10-31) Pane, Rolan; Sirai, Asli; Aziskhan
    Suatu matriks kompleks Mn berukuran nxn pada pemetaan linier ∅ ∶ X→X+(tr X )I pada Mn Diduga jika[■(A&X@x^*&B)] semi definit postip untuk A , X , B ∈M_n maka 2s_(j ) (∅(X) ) ≤ s_j (∅(A+B) ,j= 1 ,….,ndan s_j (.)merupakan rataan dari nilai singular terbesar ke j Suatu matriks kompleks Mn berukuran nxn pada pemetaan linier ∅ ∶ X→X+(tr X )I pada Mn Diduga jika[■(A&X@x^*&B)] semi definit postip untuk A , X , B ∈M_n maka 2s_(j ) (∅(X) ) ≤ s_j (∅(A+B) ,j= 1 ,….,ndan s_j (.)merupakan rataan dari nilai singular terbesar ke j
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    MENENTUKAN NILAI CADANGAN YANG DISESUAIKAN PADA ASURANSI JIWA BERJANGKA BERPASANGAN DENGAN METODE ILLINOIS
    (2013-07-17) Jefrianda; Hasriati; Aziskhan
    Prospective reserve of term life insurance pairwise is determined by using the assumptions of net premiums which is influenced by the agent commission fee on life insurance companies. In this paper, a prospective reserve is determined by using the method of Illinois with a maximum reserve limit of 20 years cost with the adjusted premiums assumption.
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    METODE ACCRUED BENEFIT COST UNTUK ASURANSI DANA PENSIUN NORMAL PADA STATUS GABUNGAN
    (2013-06-12) Siregar, Agustina; Kho, Johannes; Aziskhan
    This paper discusses normal pension fund insurance calculation using accrued benefit cost method, for a joint life status of two pension fund insurance clients. Pension premium and cash insurance value of the pension fund can be determined by calculating the pension benefits and life annuity for the joint life clients. Furthermore, an example is given to explain the problem discussed.
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    METODE ANALISIS HOMOTOPI UNTUK MENYELESAIKAN PERSAMAAN INTEGRAL LINEAR
    (2016-02-04) Darno, Azharra Fortuna; Syamsudhuha; Aziskhan
    This article discusses the application of homotopy analysis method to solve linear Volterra and Fredholm integral equations of the rst and second kind. To see the advantages, this method is applied to the four examples of linear Volterra and Fred- holm integral equation. The results show that the convergence of the method is very fast to approximate the exact solution.
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    METODE FINITE DIFFERENCE INTERVAL UNTUK MENYELESAIKAN PERSAMAAN PANAS
    (2013-03-13) W.A, Mardhika; Syamsudhuha; Aziskhan
    The aim of this paper is to solve a heat equation by using Interval Finite Difference method. The method is the modified form of Finite Difference Method which includes the error terms of the corresponding conventional method. It gives a solution in interval form which consists all of the possible numerical error
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    METODE PREMIUM SUFFICIENCY UNTUK CADANGAN ASURANSI JIWA BERJANGKA PADA STATUS HIDUP GABUNGAN
    (2013-06-10) Riyana, Silda; Hasriati; Aziskhan
    This paper discusses the premium of reserve of life insurance based on premium sufficiency method for two persons, who are respectively x and y years old, joining term life insurance with joint life status. On this method, premium reserve is evaluated by using gross premium assumption with considering the management expenses of insurance company. Gross premium calculation is acquired by determining the present value of due life annuity and annual net premium where these calculations are expressed in commutation function.
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    METODE TRANSFORMASI ELZAKI DALAM MENYELESAIKAN PERSAMAAN DIFERENSIAL BIASA LINEAR ORDE-N DENGAN KOEFISIEN KONSTANTA
    (2013-06-26) Nuari, Roki; Aziskhan; Lily, Endang
    This paper discusses ELzaki’s transformation and its properties for scalar, polynomial and exponential functions. Then this transformation is applied to solve an initial value problem of linear differential equations with a constant coefficient.
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    MOMEN AKUMULASI DARI SUATU ANUITAS AWAL DENGAN TINGKAT BUNGA ACAK
    (2014-03-25) Fatmawati, Ari; Kho, Johannes; Aziskhan
    This article discusses the three moments formed from the accumulation of due annuity with random interest rate. The highest moment of these three moments is obtained by first determining the previous two moments. Moment accumulation is used to predict the accumulation of profits expected by investors from an investment made during n periods.
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    PELABELAN TOTAL SISI-AJAIB SUPER PADA SALAH SATU SUB-KELAS GRAF UNICYCLIC
    (2013-03-26) Kostarozi, Leo Fadriq; Pane, Rolan; Aziskhan
    Labeling of a graph is a theory that is often encountered in various fields such as graph decomposition, cryptology, radar kristalogi x-ray, coding theory, circuit design and communication networks. This study aims to demonstrate that the graph-like unicyclic cycle also make the magic total labeling super total labeling one side - super magical. The super magic total labeling will we associate with one type of graph is unicyclic graph. Uniclyclic a graph is said to have the magical super if obtained from the settlement cycle on a two-dimensional grid by a set of row transformation side
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    PREMI ASURANSI JIWA BERJANGKA DENGAN ANUITAS MENURUN BERDASARKAN TINGKAT BUNGA INDEPENDEN
    (2016-04-27) Heriani; Hasriati; Aziskhan
    This article discusses the term life insurance premiums using decreasing annuity. The initial annuity payment by n unit of payments and subsequent payments always decrease by one unit of the previous period. Determination of term life insurance premiums with decreasing annuity are based on the Balducci assumption and independent interest rate, which is one model of the time series of interest rate movements
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    PREMI ASURANSI JIWA LAST SURVIVOR DWIGUNA DENGAN MENGGUNAKAN ASUMSI CONSTANT FORCE
    (2013-06-10) Rahmi, Dian Fauzia; Hasriati; Aziskhan
    This paper discusses about the premium of endowment of life insurance with the last survivor status. It means life insurance of two persons who are x and y years old with the premium payed until the last death of insurance clients. The premium calculation is done by previously determining the present value of annuity and the single premium based on constant force assumption
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    PREMI ASURANSI NAIK PADA STATUS HIDUP GABUNGAN
    (2014-03-25) Anugrah, Gita; Hasriati; Aziskhan
    This paper discusses the premium for joint life status, which are respectively and years old participants, who follows the increasing insurance. Premiums covered are single premium and annual premium, based on the calculation of single net premium and annual net premium influenced by due life annuity with respect to the management expenses of insurance. In this paper, the calculations of premium are expressed in commutation function