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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 14 Documents
 1   2 
Search results for , issue "Volume 13 Number 2 (October 2007)" : 14 Documents clear
A MODEL FOR STATIC AND DYNAMIC PHENOMENA IN DEPOSITION PROCESSES Hasan, M.; Opheusden, J.H.J. van
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.83.173-189

Abstract

We have developed a model for friction in a dry granular material,that allows multiple reversible transitions between stick and slipcontacts. The ultimate purpose of the model is to simulatedeposition processes. During these processes a pile structure isformed that is repeatedly destabilised by addition of new material.The present model does not yet include rotation. The model is testedfor a few simple systems. Finally we perform more extensive granulardynamics simulations using the model for 2D and 3D systems. In eachsystem, a steady flow of material is dropped onto a rough surface.DOI : http://dx.doi.org/10.22342/jims.13.2.83.173-189
APPLICATION OF HALANAY INEQUALITY TO THE ESTABLISHMENT OF THE EXPONENTIAL STABILITY OF DELAYED COMPARTMENTAL SYSTEM ., Sariyasa
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.67.191-196

Abstract

The dynamical convergence of a compartmental system with transport delays is studied. An easily verifiable delay independent sufficient condition for the system to be globally exponentially stable is obtained. Halanay differential inequality is employed to establish the global exponential stability.DOI : http://dx.doi.org/10.22342/jims.13.2.67.191-196
THE GRAPH OF DIAGRAM GROUPS FROM DIRECT PRODUCT OF THREE FREE SEMIGROUPS Gemawati, Sri; Bin Ahmad, Abd. Ghafur
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.68.209-214

Abstract

"PDF File"DOI : http://dx.doi.org/10.22342/jims.13.2.68.209-214
NON AUTOMATICALLY EXERCISED (NAE) EUROPEAN CAPPED CALL PRICING THEORY ., Subanar; Guritno, Suryo; S., Zanzawi; ., Abdurakhman
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.69.215-221

Abstract

The objective of this paper is to present a methodology for deriving Black Scholes formulae via a simple lognormal distribution approach and introduce European capped non automatically exercise (NAE) call option pricing theory. DOI : http://dx.doi.org/10.22342/jims.13.2.69.215-221
CALCULATIONS ON THE SUPREMUM OF FUZZY NUMBERS VIA Lp METRICS Fan, Taihe; Wen, Dan
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.88.197-208

Abstract

In this paper, it is proved that the supremum of a family of fuzzy number scan be finitely approximated via Lp metrics and the concrete approaches are given. As a byproduct, it is proved that the L1 metric d1 defined via cut-set is equivalent to ametric which can be calculated directly via membership functions. Since the Lp metrics are analytic in nature, the results in this paper may have interesting applications infuzzy analysis. For example, it may provide a method for the computation of various fuzzy-number-valued integrals.DOI : http://dx.doi.org/10.22342/jims.13.2.88.197-208
INTEGRATED RENEWAL PROCESS ., Suyono; der Weide, J.A.M. van
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.64.149-159

Abstract

The marginal distribution of integrated renewal process is derived in this paper. Our approach is based on the theory of point processes, especially Poisson point processes. The results are presented in the form of Laplace transforms. DOI : http://dx.doi.org/10.22342/jims.13.2.64.149-159
COLUMN GENERATION TECHNIQUE FOR SOLVING TWO-DIMENSIONAL CUTTING STOCK PROBLEMS: METHOD OF STRIPE APPROACH Novianingsih, K.; Hadianti, R.; Uttunggadewa, S.
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.65.161-172

Abstract

We consider two-dimensional cutting stock problems where single rectangular stocks have to be cut into some smaller rectangular so that the number of stocks needed to satisfy the demands is minimum. In this paper we focus our study to the problem where the stocks have to be cut with guillotine cutting type and fixed orientation of finals. We formulate the problem as an integer programming, where the relaxation problem is solved by column generation technique. New pattern generation is formulated based on method of stripe. In obtaining the integer solution, we round down the optimal solution of the relaxation problem and then we derive an extra mix integer programming for satisfying the unmet demands. The optimal solution of the original problem is the combination of the round-down solution and the optimal solution of the extra mix integer programming.A numerical example of the problem is given in the end of this paper.DOI : http://dx.doi.org/10.22342/jims.13.2.65.161-172
INTEGRATED RENEWAL PROCESS Suyono .; J.A.M. van der Weide
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.64.149-159

Abstract

The marginal distribution of integrated renewal process is derived in this paper. Our approach is based on the theory of point processes, especially Poisson point processes. The results are presented in the form of Laplace transforms. DOI : http://dx.doi.org/10.22342/jims.13.2.64.149-159
COLUMN GENERATION TECHNIQUE FOR SOLVING TWO-DIMENSIONAL CUTTING STOCK PROBLEMS: METHOD OF STRIPE APPROACH K. Novianingsih; R. Hadianti; S. Uttunggadewa
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.65.161-172

Abstract

We consider two-dimensional cutting stock problems where single rectangular stocks have to be cut into some smaller rectangular so that the number of stocks needed to satisfy the demands is minimum. In this paper we focus our study to the problem where the stocks have to be cut with guillotine cutting type and fixed orientation of finals. We formulate the problem as an integer programming, where the relaxation problem is solved by column generation technique. New pattern generation is formulated based on method of stripe. In obtaining the integer solution, we round down the optimal solution of the relaxation problem and then we derive an extra mix integer programming for satisfying the unmet demands. The optimal solution of the original problem is the combination of the round-down solution and the optimal solution of the extra mix integer programming.A numerical example of the problem is given in the end of this paper.DOI : http://dx.doi.org/10.22342/jims.13.2.65.161-172
APPLICATION OF HALANAY INEQUALITY TO THE ESTABLISHMENT OF THE EXPONENTIAL STABILITY OF DELAYED COMPARTMENTAL SYSTEM Sariyasa .
Journal of the Indonesian Mathematical Society Volume 13 Number 2 (October 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.2.67.191-196

Abstract

The dynamical convergence of a compartmental system with transport delays is studied. An easily verifiable delay independent sufficient condition for the system to be globally exponentially stable is obtained. Halanay differential inequality is employed to establish the global exponential stability.DOI : http://dx.doi.org/10.22342/jims.13.2.67.191-196

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