Premi Tahunan Asuransi Jiwa Dengan Asumsi Uniform Untuk Kasus Multiple Decrement

ABSTRACT This final project formulates the term life insurance premium with a uniform assumption for multiple decrement cases limited by two cases. Premium calculation is obtained by determining the life annuity first and the single premium value based on uniform assumptions. Life annuity and annual premiums are settled by first determining the insurance participant’s probability of exit…

Cadangan Premi Asuransi Jiwa Last Survivor Dengan Asumsi Constant Force Dan M…

ABSTRACT This final project discusses the premium of reserves of last survivor term life insurance based on premium sufficiency method for two persons. The calculation of this reserve is obtained by determining the single premium, annual premium, gross premium and life annuity with use at the constant force assumption. The premium is obtained by determining the life annuity and single prem…

Menyelesaikan Masalah Aliran Maksimum Dengan Menggunakan Algoritma Ford-Fulke…

ABSTRACT This nal project discusses the maximum ow using the Ford-Fulkerson al- gorithm and linear programming. Maximum ow problem solving using the Ford-Fulkerson algorithm is limited to capacity constraints, while solving using linear programming can be used for various kinds of constraints. At the end of the discussion, a maximum ow problem is given which is solved by using both …

Beberapa Sifat Dari Bilangan Kurang Sempurna

ABSTRACT This nal project discusses some properties of decient perfect numbers, namely, every odd perfect numbers has a decient perfect numbers. Then there are odd perfect numbers and Descartes numbers from the decient perfect numbers. This is a review of article from Holdener dan Rachfal [The American Mathematical Monthly, 126 (2019), 541-546]. Keywords: Prime numbers, sigma function…

Penyelesaian Masalah Transportasi Fuzzy Trapesium Campuran Dengan Metode Kand…

ABSTRACT This final projects discusses the trapezoidal fuzzy numbers transportation problem with mixed constraints. The cost coefficient is a fuzzy number that appears because there is uncertainty in costs that cannot be predicted due to several factors. The solution to the trapezoidal fuzzy number transportation problem uses the best candidate method (BCM) and the Vogel’s approximation …

Optimisasi Perencanaan Produksi Menggunakan Metode Program Gol Preemptif

ABSTRACT This final project discusses the mathematical modeling of a production planning using the preemptive goal programming method for priority based decision making. This problem aims to optimize the production planning by meeting the specified constraints and minimizing deviations from each goal to be achieved, based on the five types of best seller bread, production profits, producti…

Penyelesaian Masalah Penugasan Fuzzy Segitiga Dengan Metode Centroid

ABSTRACT This nal project discusses the solution of assignment problem in the form of triangular fuzzy numbers that converted into crisp numbers, by using centroid method as ranking function. Then, the assignment problem in the form of crisp numbers is completed by using the Hungarian method, so that the solution that obtained from this method is used to properly place workers in order to…

Pengembangan Teorema Japanese Untuk Segilima Siklik

ABSTRACT This nal project discusses the development of Japanese theorem for cyclic pentagon. The method is used to construct the diagonal from each point of the cyclic pentagon, so that three triangles are formed. Then it shows that the sum of incirle's radius of three triangles from the diagonal of cyclic pentagon is equal to the sum of incircle's radius of three triangles from diagonal …

Penjumlahan Dan Pengurangan Dua Bilangan Fibonacci Yang Menghasilkan Bilangan…

ABSTRACT This final project discusses the existence of the perfect powers obtained by the result of the addition and subtraction of two Fibonacci numbers, namely and under the condition . In the case of , the addition or subtraction of and gives a product of and with and under the condition of or . Then the product of and is the perfect power in the form of with , a…

Sifat-Sifat Bn-Aljabar Serta Hubungan Dengan Aljabar Lainnya

ABSTRACT This nal project discusses the properties of BN -algebra, the relationship BN - algebra with B -algebra, BF -algebra and Coxeter algebra. These properties are proved by using the binary operations contained in the group. This nal project is a review of article of Kim dan Kim [Kyungpook Mathematical Journal, 53 (2013), 175-184]. Keywords: BN-algebra, B-algebra, BF-algebra, Coxet…

Pengembangan Metode Orde Tinggi Untuk Menyelesaikan Sistem Persamaan Nonlinear

This nal project discusses the development of high-order iteration methods with a weight function approach to nd solutions to systems of nonlinear sys- tems equations. Analytically it is proven that the resulting method have a convergance of six order. The computational test shows the obtained methods are comparable to the existing class methods. Keywords: Iterative method, order of conv…

Menentukan Nilai eigen dan vektor Eigen Matriks Fuzzy Triangular

ABSTRACT This nal project discusses the determination of the eigenvalues and eigenvectors of a triangular fuzzy number matrix. The negative-positive denition triangular fuzzy number is expressed based on its geometrical area. The goal is to determine the arithmetic operations constructed on the result of multiplication of the triangular fuzzy numbers. Then the negative-positive triangul…

Modifikasi Metode New Tondengan Memori Dan Para Meterak Selerasi Untuk Menyel…

ABSTRACT This final project discusses a modification of the Newton’s method with memory using the acceleration parameter to solve nonlinear equations. Modification is made by replacing the invariant parameter in the modified Newton method without memory with the acceleration parameter. The analysis of convergence shows that the convergene order of the proposed method is of 1+√2. Furthe…

Metode Bebas turunan optimal Berdasarkan interpolasi invers untuk Mencari Aka…

ABSTRACT This final project discusses the optimal derivative-free iterative method based on inverse interpolation for solving nonlinear equations. The discussion begins with estimating the derivative of the function in the proposed method using the Cordero-Torregrosa conjecture, then it is continued by conducting a convergence analysis which shows that the proposed method is of order eight…

Cadangan Zillmer Asuransi Jiwa Last Survivor Dwiguna Dengan Hukum Makeham

ABSTRACT This paper discusses Zillmer's reserve of last survivor endowment life insurance. Last survivor is life insurance of two person who are x years and y years old with a condition that premium is payed until the last death of insurance clients. Zillmer's reserve is modied prospective's reserve using the size of Zillmer's rate. The value of reserves is obtained by determining the sin…

Premi Asuransi Jiwa Berjangka Contingent Berdasarkan Hukum Makeham

ABSTRACT This final project formulates premium of contingent term life insurance based on Makeham’s law for two persons at the age x and y years old. Contingent life insurance is an insurance whose payment are based on the sequence of the deceased insured. In determining the order in which death is delayed, the compound contingent function is used. In this final project, term life annuit…

Perkalian Dengan Syarat Maks Tidak Menghasilkan Bilangan Berpangkat

Edisi

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ISBN/ISSN

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Deskripsi Fisik

ix, 79 hlm.; ill.: 29 cm

Judul Seri

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No. Panggil

03 03. 121 (0036)

Metode Hungarian Untuk Menyelesaikan Masalah Penugasan Dengan Interval Aritma…

ABSTRACT This nal project discusses the Hungarian method to solve assignment problems with generalized interval arithmetic. This problem aims to optimize decision making in assignment placement by minimizing costs for n jobs completed by m employees. Interval assignments are performed by converting each table entry into the form of midpoint and width. Then the Hungarian method in the ass…

Sifat-Sifat B-Aljabar Dan Ideal, Ideal Lengkap, N-Ideal Dari B-Aljabar

ABSTRACT This final project discusses some properties of B-algebra and the ideal, complete ideal, n-ideal of B-algebra. There is a relation between ideal, complete ideal, and n-ideal that every ideal of B-algebra is complete ideal and every ideal of B-algebra is n-ideal. This project is a review of article of Abdullah and Athsan [Applied Mathematical Sciences, 11 (2017), 1705-1713]. Keywo…

Sifat-Sifat Pada Bn1-Aljabar Serta Hubungan Bn1-Aljabar Dengan Bg, Bci Dan Co…

ABSTRACT This final project discusses the properties of BN1-algebra and the relation- ship between BN1-algebra with BG-algebra, BCI-algebra and Coxeter-algebra. Then, by using the properties contained in BN1-algebra and some other alge- bras, several other related algebraic properties are derived. In final section, it is found that the conditions of some algebra in BN1-algebra are the same…