Browsing by Author "Pane, Rolan"

Now showing 1 - 17 of 17
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    CADANGAN COMMISSIONERS DAN CADANGAN ILLINOIS ASURANSI JIWA DWIGUNA BERDASARKAN HUKUM MAKEHAM
    (2016-04-27) Wahyudi, Ridho; Pane, Rolan; Musraini
    This article discusses the commissioners reserve and Illinois reserve for endowment life insurance. Commissioners reserve and Illinois reserve are the calculation of modified premium reserve using prospective reserve and has its own premium payment period. This calculation is carried out by determining life annuity, single premium, and annual premium in advance based on Makeham’s law.
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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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    INVERS MATRIKS SIRKULASI REGULAR MELALUI TEOREMA ADJOIN
    (2014-03-25) N, Frans Palentino; Pane, Rolan; M, Musraini
    This paper discusses how to get an inverse of a regular circulant matrix of order n, whose elements are in the form of an arithmetic sequence. The process begins with calculating the determinant and adjoint of the regular circulation matrix. Then, the results are applied into the adjoint theorem, so that the simple formula for the invers is obtained
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    Ketaksamaan Nilai Singular Pada Products Hadamard
    (2017-10-16) Sirait, Asli; Pane, Rolan; Natsir, M
    Misalkan M m,n merupakan ruang dari matriks kompleks m x n , dimana A , B M n , n dan merupakan product Hadamard ( atau Schur) dari A dan B oleh A o B , Untuk A Mn, n maka merupakan nilai singular terurut dan menyusut terurut menurut baris Euclidean dan panjang kolom dari A terhadap r1 (A ) ≥ r2(A ) ≥ .. rm (A ) ≥ dan c1 (A ) ≥ c2(A ) ≥ .. cn (A) Akan ditunjukkan bahwa untuk suatu A , B M n , n berlaku hubungan , dengan k = 1 , 2 , ….. , min { m,n }
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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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    Ketunggalan Solusi Periodik Persamaan Differensial Tundaan
    (2015-05-31) M.Natsir; Pane, Rolan
    Keunggulan solusi dapat diteliti melalui orbit dari solusi periodik berosilasi lambat Dalam bidang phase [ x ( t ) , x'(t)] Orbit-orbit didalam R2 ditunjukkan dalam kurva tertutup sederhana dari titik awal pada bidang datar
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    Kewujudan Titik Tetap Untuk Pemetaan Tak Mengembang Pada Ruang Hilbert
    (2015-03-16) Mashadi; Pane, Rolan
    Misalkan X ruang Banach konvek seragam yang memenuhi kondisi opial, C himpunan bagian konvek dari X, dan T pemetaan quasi tak mengembang dari C into C. dengan I - T demi close ke noJ. Pilih Xj e C sebarang dan definisikan barisan {x„} sebagai berikut Xiri-i = ( 1 - oc„) x„ + ot„ Tx„ Maka akan ditunjukkan bahwa baiisan yang didefinisikan di atas konveigen lemah terhadap titik tetap dari pemetaan T.
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    METODE AGGREGATE COST UNTUK PERHITUNGAN PREMI TAHUNAN PADA ASURANSI JIWA GABUNGAN
    (2014-03-25) Sibuea, Lusiana; Hasriati; Pane, Rolan
    This article discusses the calculation of pension fund insurance premiums using an aggregate cost method for joint life insurance for two participants of normal pension fund. Pension fund insurance premiums can be determined from the value of pension benefits, life annuity for joint life, and the present value of pension benefits with assumption of last salary. An example is also given in this discussion
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    METODE DEKOMPOSISI ADOMIAN UNTUK MENYELESAIKAN PERSAMAAN PARABOLIK
    (2013-06-25) Marbun, Ester G.; Imran, M.; Pane, Rolan
    We discuss the application of Adomian decomposition method to solve a parabolic differential equation which is a review as well as fix of some errors contained in the article of Javidi and Golbabai entitled Adomian decomposition method for ap- proximating the Solution of Parabolic Equations [5]. Then, to see the accuracy of the discussed method, we compare the solutions in the form of series obtained by Adomian decomposition method with the exact solution of two parabolic differ- ential equations. The results indicate that the solutions obtained using Adomian decomposition method is very accurate.
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    PELABELAN TOTAL SISI AJAIB SUPER PADA GRAF CORONA-LIKE UNICYCLIC
    (2013-06-25) Kurniawan; Pane, Rolan; Sirait, Asli
    We discuss the super edge magic total labeling in the corona-like unicyclic graph by reordering the grid points on the trajectory, followed by the transformation to the edges. A new variation is obtained from the super edge magic total labeling.
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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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    PEMBENTUKAN DIAGRAM SEMIGRUP
    (2013-07-19) Sari, Siska Maya; Gemawati, Sri; Pane, Rolan
    In this paper, we discuss the properties of the semigroups diagram formed by a semigroup presentation. The discussion begins by giving an illustration of the semigroup diagram from a semigroup presentation P  a , b ab  ba  . Then, a diagram, an atomic picture and a graph are formed by defining union operation on the diagram and addition operation on the graph. All the properties of the semigroups diagram are stated in the form of theorems, as a review of the semigroup diagram section in Diagram groups written by Guba, V and Sapir, M (1996).
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    Pengembangan dan Penerapan Teorema dan Ketaksamaan Fagnano's dalam segitiga
    (2013-03-21) Musraini; Pane, Rolan
    In this paper, two concepts that are discussed are related to the relationship between the sides of any triangle with the incenter and circumcenter. On the other hand because ratio of the incenter and circumcenter and area of a triangle related to the construction of the triangle. So in this paper will also be discussed in a triangle that has the smallest perimeter.
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    SEMIGRUP BEBAS DAN MONOID BEBAS PADA HIMPUNAN WORD
    (2013-05-08) Sarie, Novia Yumitha; Gemawati, Sri; Pane, Rolan
    In this paper we discuss the characteristics of free semigroup and free monoid related to word set. The discussion begins with some homomorphism theorems and a criterion for freeness of semigroup and monoid. All characteristics of free semigroup and free monoid are expressed on some theorems. All discussions in this paper refer back to Harju [4].
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    Solusi Alternatif Persamaan Diferensial Biasa
    (2017-10-31) Sirait, Asli; Natsir, M; Pane, Rolan
    Pada makalah ini akan ditunjukkanpenyelesaian sistem persamaan diferensial x’ = Ax diformulasikan oleh persamaan , dengan menentukan nilai ( v1 , v2 , …., vn ) yang merupakan eigenvektor yang berkoresponden dengan eigen value λ dari matriks A .Matriks modal P = ( v1 , v2 , …. , vn ) , dipenuhi oleh transformasi bentuk kanonik Jordan P-1AP = J , Untuk nilaieigen berbeda penyelesaian x! = Ax diberikan oleh dan Beberapa metode alternatif dalam menyelesaikan persamaan x! = Ax antara lain metode Silvester dan metode langsung
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    Solving A Class of Stochastic Multiobjective Integer Linear Programming Problems
    (2017-10-16) Kho, Johannes; Pane, Rolan; Aziskhan; Sirait, Asli; Natsir, M
    In this paper we propose a method for solving a multi objective chance constrained integer programming problem. We assume that there is randomness in the right-hand sides of the constraints only and that the random variables are normally distributed. The stochastic model is transformed in a deterministic equivalent for using covariance technique. Then we propose an interactive approach for solving the deterministic mode