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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 7 Documents
 1 
Search results for , issue "Vol 17, No 3 (2014): Jurnal Matematika" : 7 Documents clear
PROGRAM FRAKSIONAL LINIER DENGAN KOEFISIEN INTERVAL Sari, Annisa Ratna; ., Sunarsih; ., Suryoto
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Linear fractional programming is a special case of nonlinear programming which the objective function is a ratio of two linear function with linear constraints. Linear fractional programming is used to optimize the efficiency of the activities  of the other activities. In some case, coefficients of the objective function is uncertain. Therefore, It can be selected the interval numbers as coefficients. First step in solving linear fractional programming with interval coefficients in the objective function is transforming it into linear programming using the Charnes - Cooper method. The result of the transformation is linear programming with interval coefficients (LPIC). To solve the LPIC is used method proposed by K Ramadan. In this method, LPIC converted into two linear programming that obtains the best optimum solution and the worst optimum solution, respectively. This optimum solution is the optimum solution for linear fractional programming problem with interval coefficients in the objective function.
PENDEKATAN PEMROGRAMAN MULTIOBJEKTIF INTERAKTIF UNTUK MENYELESAIKAN MASALAH ALOKASI ASET OPTIMAL DAN STUDI KASUS PADA LIMA SEKURITAS DI INDONESIA ., Sutrisno; Munawarroh, Dita Anies
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

. In this paper, we use an interactive multiobjective programming approach to solve an optimal asset allocation problem. This problem contains two objective functions which are function of expected return that will be maximized and function of risk that will be minimized. We gives a case study for this problem to find the optimal asset allocation for five securities in Indonesia. The approachmentthat was used in this paper gives the percentage of each of the given five securities that gives the optimalexpected return and the optimal risk
GRUP GAMMA PADA KELAS-KELAS EKUIVALENSI G(S) Sumanto, Y.D
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Finite set S with n element can be operated by binary operation. In this paper if is set of binary operation on S that formed as a group, then can be partioned as unintersection classes and every class can be construct as over S.
ANALISIS KINERJA UNIT USAHA MENGGUNAKAN MODEL CCR (STUDI KASUS PADA APOTEK KIMIA FARMA SEMARANG) Rahmania, Laily; Farikhin, Farikhin; Surarso, Bayu
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Data envelopment analysis (DEA) is a non-parametric technique for performace evaluation. In DEA context, we know two model which are CCR model and BCC model. With these model we break all of decision making units (DMU) into two classess, efficiency DMU and inefficiency DMU. In this note, we discuss CCR model and its application to evaluate DMU’s on Kimia Farma Semarang. Further, we find that dual problem is better than primal problem to evaluate effiency DMU.
KENDALI LQR DISKRIT UNTUK SISTEM TRANSMISI DATA DENGAN SUMBER JARINGAN TUNGGAL Munawarroh, Dita Anies; ., Sutrisno
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this research discussed about control of data transmission systems with a single network source. Linier quadratic regulator (LQR) control with discrete time is used to control the systems. The linier quadratic regulator (LQR) control is optimal control with quadratic objective function and has linear constrains. The control has aim to optimizing the acceptance rate of data transmission. The data transmission systems have a single network source, can receive 100 % the entering data, although have time delay.
PROGRAM LINIER FUZZY PENUH DENGAN METODE KUMAR Wahyudy, Shintia Devi; Irawanto, Bambang
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Fully fuzzy linear programing is part of a crisp linear programming (linear programimg with a number of crisp) which the numbers used are fuzzy numbers. Solving a fully fuzzy linear programming problems by using Kumar method to fuzzy optimal solution and crisp optimal value.. Solving fuzzy optimal solution by Kumar method  on triangular fuzzy number to divide into tree objective functions and defuzzification  by using ranking function and  α - cutting to get crisp  optimal solution. This paper discusses about Kumar methods method for solving fully fuzzy linear programming in which fuzzy numbers used are triangular fuzzy numbers.  
PERSAMAAN UMUM JUMLAH EDGE DAN TITIK PADA CYCLE EXTENSION CUBIC GRAPH Hambali, Mohamad Ibnu; ., Wamiliana; ., Fitriani
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this research we will discuss about cycle extension  of  cubic graph. The cubic graphs used are the cucic graph with n(V(G)) ≤ 8 and k ≥ 3, ;  k is the length of the cycle C and li is the number of vertices or points on  that located between  and  .  The construction process for determining the  use six operations which are M1, M2, M3, M4, M5, dan M6. The result of M1 process on     is a non Hamiltonian cycle while the results of M2, M3, M4, M5, and M6 are Hamiltonian cycles. We also show that the  number of vertives on the   is  n(V()) = n (V(G)) + 2 k  , and  the number of edges on the   is  n(E() = n (E(G)) + 3 k.

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