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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 300 Documents
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MODEL ASIMETRIS GABUNGAN INVENTORY DAN ROUTING UNTUK MINIMISASI HARGA KOMODITI sarwadi, Sarwadi; hariyanto, susilo
MATEMATIKA Vol 7, No 2 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Dalam penelitian ini, akan dirumuskan suatu model matematik yang merupakan gabungan antara masalah inventory dan routing. Model dibangun  dengan memperhatikan sifat asimetris matrik jarak antar kota. Masalah ini diselesaikan dengan menggunakan teori graph. Perumusan masalah dinyatakan ke model Mixed Integer Linier Programming. Model ini disusun untuk kasus minimisasi suatu harga komoditi. Selanjutnya, model yang dibangun dikaji karakteristik-karakteristiknya untuk membuktikan kesahihannya, sehingga diperoleh suatu model MILP yang valid untuk permasalahan inventory dan routing.
ANALISA KINERJA SISTEM KONTROL DISKRIT CHAOS LUP TERBUKA DAN TERTUTUP DENGAN PENGENDALI IMPULSIF Utomo, Robertus Heri Soelistyo; Widowati, Widowati; Munawwaroh, Dita Anies; Asnawi, Yuliyan Hambyah
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

tability the discrete chaotic systems is interesting to be discussed, given that chaos is closely related to random and irregular state. Stability of discrete chaotic system can be obtained using impulsive control law and applying Lyapunov stability theory. So it can show sufficient conditions for the design of impulsive controllers and  globally exponentially set-stable can be reached. Based on the results of the impulsive  control, it is seen that the behavior of chaos in a discrete chaos system which originally the trajectory are irregular, can be control and become stable, and there is a globally exponentially attracting set earned in the system. The numerical simulation on the discrete chaotic system is presented to illustrate the effectiveness of the obtained results from control impulsive.
MODEL LOGIT KUMULATIF UNTUK RESPON ORDINAL Raharjanti, Robiah Peni Raharjanti; Widiharih, Tatik
MATEMATIKA Vol 8, No 3 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Logit cumulative model is used to discribe the relationship between a response variable and one or more explanatory variables which response variable is of ordinal scale. To estimate the parameters, use maximum likelihood method with Newton Raphson iteration. Testing for the significance of the coefficients is done to fit the model. Test for overall significance of the variables in the model is performed by likelihood ratio test and test on individual coefficient is done using Wald’s test
DISTRIBUSI WAKTU BERHENTI PADA PROSES PEMBAHARUAN sudarno, Sudarno
MATEMATIKA Vol 6, No 2 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Dalam proses stokhastik yang mana kejadian dapat muncul kembali membentuk proses pembahauruan. Proses pembaharuan adalah proses menghitung dengan variabel acaknya bernilai intejer dan kejadiannya dapat terulang lagi. Pada proses pembaharuan akan muncul waktu berhenti, yaitu waktu suatu proses selesai dan disambung dengan proses yang baru berikutnya. Distribusi waktu berhenti merupakan selisih konvolusi dari distribusinya. Menurut persamaan Wald bahwa nilai harapan waktu berhenti sama dengan ekspektasi waktu tunggu dibagi dengan rataannya. Sedangkan persamaan Wald dapat dipakai bilamana rataannya berhingga.
ALGORITMA MENENTUKAN HIMPUNAN TERBESAR DARI SUATU MATRIKS INTERVAL DALAM ALJABAR MAX-PLUS Novitasari, Ratna
MATEMATIKA Vol 14, No 3 (2011): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

This research discussed about how to obtained largest set from an interval matrix if given a possible eigen vector. For obtained the largest set, we would doing some iteration and then determined the best algorithm.
METODE UNWEIGHTED MEANS UNTUK FAKTORIAL TAK SEIMBANG DISPROPORSIONAL WURYANDARI, TRIASTUTI
MATEMATIKA Vol 10, No 1 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A factorial design should be used when there are several factors of interest in experiment. The problem which arises when the factorial experiment does not contain equal sized samples in the cells is that the design is nonorthogonal. In other words, the total sums of squares in the ANOVA table cannot be decomposed into a series of additive components which permit the analysis of the separate effect. There are possible situations when the cell sample sized are unequal, allocated proportionately or disproportionately. On the allocated disproportionately, approximate F test using the method of unweighted means.  
PATH KUAT TERKUAT DAN JARAK KUAT TERKUAT DALAM GRAF FUZZY Ekawati, Lusia Dini; Ratnasari, Lucia
MATEMATIKA Vol 16, No 1 (2013): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Fuzzy graph is a graph consists pair of vertex and edge that have degree of membership containing closed interval of real number [0,1] on each node and edge. A graph fuzzy  is connected if the strength of connectedness between nodes u and v larger than zero for each . This paper will be explained about ss-path and ss-distance. Strongest stong path (ss-path) between two nodes in connected fuzzy graph if path is a strongest path as well as strong path. If G is a connected fuzzy graph then for each  there exists a strongest strong path for u to v . While ss-distane between two nodes u and v in connected fuzzy graph as the reciprocal of  the strength of connectedness between nodes u and v. Using metric can be known that every connected fuzzy graph is ss-selfcentered
GEOMETRI PROYEKTIF PG(2, pn) UNTUK MEMBENTUK RANCANGAN BLOK TIDAK LENGKAP SEIMBANG SIMETRIS H, Yuni; Bambang, Irawanto
MATEMATIKA Vol 11, No 3 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A Symmetric Balanced Incomplete Block design with parameters  is Balanced Incomplete Block (BIB) design with  and . Projective geometry PG (2, pn) is the finite geometry of two dimensions over the Galois Field GF(pn). Projective geometry PG (2, pn) can be used to construct symmetric BIB design if the points of PG(2, pn) are assumed same with the object of symmetric BIB design and the lines which contain the points from PG(2, pn) same with the blocks of symmetric BIB design.  
TAKSIRAN UMUR SISTEM DENGAN UMUR KOMPONEN BERDISTRIBUSI SERAGAM sudarno, sudarno
MATEMATIKA Vol 7, No 1 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Sistem yang dibentuk oleh beberapa komponen, rangkaiannya dapat secara seri atau paralel. Untuk mengetahui suatu sistem berfungsi atau tidak, dapat dilihat dari fungsi bentuk. Dari fungsi bentuk ini, fungsi reliabilitas sistem akan dapat ditentukan. Selanjutnya berdasarkan fungsi reliabilitas sistem, dapat diketahui umur sistem. Khusus dalam tulisan ini, umur komponennya diasumsikan berdistribusi seragam. Dengan mengetahui umur sistem, maka dapat ditentukan waktu garansi produk.
METODE KUMAR UNTUK MENYELESAIKAN PROGRAM LINIER FUZZY PENUH PADA MASALAH TRANSPORTASI FUZZY S., Mohammad Ervan; Irawanto, Bambang
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper, we discusses fully fuzzy linear programming in transportation problem. To find the fuzzy optimal solution of the problem with equality constraints, we use Kumar’s Method. The value of the fuzzy optimal solution obtained is used to find the optimal value of fuzzy objective function. Then do defuzzification to obtain crisp optimal solutions by using Ranking Function. To illustrate the Kumar’s Method, we give a example as iteration

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