Previous Volumes

2007


Editorial Board

Prof. Metin Demiralp (Turkey),

Prof. A.Kuri-Morales (Mexico),

Prof. V.Mladenov (Bulgaria),

Prof. G.Bognar (Hyngary),

Prof. Lotfi A. Zadeh (USA),

Prof. Leonid Kazovsky (USA),

Prof. T.Kaczorek (Poland),

Prof. L.Chua (USA),

Prof. O.Martin (Romania),

Prof. C.Udriste (Romania),

Prof. N.Mastorakis (Greece),

Prof. D.Bertsekas (USA),

Prof. R.Yager (USA),

Prof. Anping Xu (China),  

Prof. M. A. Breuer (USA),

Prof. M.Wasfy (USA)



Topics

All aspects of classic and modern applied mathematics are covered including algebra, differential equations, probability, statistics, operational research, optimization, algorthms theory, computational complexity, control . It appears quarterly.  Special Issues are specially encouraged.

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Previous Volumes

2007

 

 

 

 

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Issue 1, Volume 2, 2008

New Artificial Neural Network based Test for the Detection of Past Population Expansion using Microsatellite Loci
by Krzysztof A. Cyran, Dariusz Myszor

Abstract: Detection of the past population growth is one of the crucial issues in contemporary population genetics. The importance of the problem is especially well understood in the context of neutral theory of evolution at molecular level proposed by Kimura. This theory often serves as neutral hypothesis in the search for genes which underwent natural selection. The conclusions in such studies can be false if population expansion was present but not detected and therefore not introduced into the model. In the paper we present novel statistical test which emerged from application of artificial neural networks theory. The test is designed to detect past population growths based on genetic microsatellite data. In experimental part of our research we created set of samples, using forward in time simulation methods. These samples were picked at random from simulated populations that had undergone growths of different types and intensities. Then, we created and trained series of different artificial neural networks and checked power of new tests based on these networks. We also compared powers of new tests with powers obtained by known methods based on microsatellites. Our studies showed that proposed by us new test provides better power in detection of population growth than the best currently available tests based on microsatellites i.e. Kimmel?s and King?s imbalance indices.
Keywords:
stochastic computer simulations, population growth detection tests, artificial neural networks, microsatellite loci, single step mutation model .
Full Paper, pp. 1-9

 

 

Coalescent vs. Time-forward Simulations in the Problem of the Detection of Past Population Expansion
by Krzysztof A. Cyran, Dariusz Myszor

Abstract: The objective of this article is to show advantages and disadvantages of time-forward simulations as compared to the simulations performed backwards in time. The posed general issue is then narrowed to the problem of detection of past population expansion. The detection of population expansion is relevant in population genetics studies and there are plenty of methods used for that purpose. One of them utilizes genetic information preserved in microsatellites present in great abundance in the genome. We address the problem by simulating microsatellites evolution in different population growth scenarios. Namely we use time-forward computer simulation methods and compare results with results obtained by other researchers whiu used coalescent methodology. We argue that feed-forward simulation which are based on real life scenarios when succeeding generations are picked from the preceding one are becoming more and more suitable tool for population genetics with the increasing computational capabilities of contemporary computerss
Keywords:
Time-forward computer simulations, coalescent methods, population growth detection tests, short tandem repeat motifs.
Full Paper, pp. 10-17

 

 

Design and Analysis of Various Models of RC5-192 Embedded Information Security Algorithm
by Omar Elkeelany

Abstract: This article presents the design and analysis of various hardware reconfigurable models of RC5 Encryption algorithm. The original contribution herein is to determine the effects of loop-unrolling design concept on improving the encryption performance. We show how we determined the optimal design value of the number of unrolled loops to implement the RC5 algorithm using 192-bit encryption key. The various models tested were based on single-custom processor with no-loop-unrolling and with various sizes of loop unrolled implementations. In this research, various performance measures were considered. Namely, these were; the maximum frequency of operation, circuit size, throughput and energy consumption. To achieve proper comparison results, all models were implemented in the same hardware reconfigurable chip, a Field Programmable Gate Array (FPGA). The performance metrics of each model were evaluated to determine the best hardware model. Verilog hardware description language was used to model and test all implementations. Results revealed that while no-loop-unrolling provided the least circuit size, the 3-loop-unrolled approach provided the highest encryption throughput. Further, a throughput speed up of 24% was achieved as compared to a reference system implemented in a similar target device using a Xilinx FPGA family. Comparing our implementations on the same Altera FPGA family, a maximum throughput speed up of 50% was achieved. These results provide a much better ground for applications involving high performance embedded data security, such as in military communications, nuclear digital instrumentation and control, and portable biomedical devices.
Keywords:
Cryptography, FPGA design and analysis, RC5 encryption, Loop-unrolling
Full Paper, pp. 18-27

 

 

Towards a Framework for Hotel Website Evaluation
by Mario Spremic, Ivan Strugar

Abstract: The growing importance of tourism industry in world economy reflects on tourism growing importance in Croatian economy as well. Tourism industry represents one of the areas in which Internet technology has a significant influence changing some of the key industry premises. Hotel website offers new opportunities for hoteliers. But it is essential to hoteliers to evaluate their web presence and to compare their quality with competition in the marketplace. Building evaluation framework and procedure for this purpose is not simple task. This paper presents one possible framework for hotel website evaluation performed to evaluate the Web sites of Croatian high class hotels and their content. The study results show that management of Croatian top hotels is still using Web and Internet technology for presentation purposes solely and there is no conscious that its content needs to be managed well. It is obvious that Internet is still not adequately understand, accepted and integrated within hotel management in Croatia. The absence of the very basic information about the hotel and their offer, e-mail form request for reservation information illustrate this hotel management attitude.
Keywords:
Tourism, hotel web sites quality, survey, Croatia
Full Paper, pp. 28-36

 

 

 

Issue 2, Volume 2, 2008

P2P Audio/Video Protocol with Global Positioning Data in Real Time for Mobile Devices
by Jose-Vicente Aguirre, Rafael Alvarez, Leandro Tortosa, Jose-Francisco Vicent

Abstract: In this paper, we propose an original method to geoposition an audio/video stream with multiple emitters that are at the same time receivers of the mixed signal. The obtained method is suitable when a list of positions within a known area is encoded with precision tailored to the visualization capabilities of the target device. Nevertheless, it is easily adaptable to new precision requirements, as well as parameterized data precision. This method extends a previously proposed protocol, without incurring in any performance penalty.
Keywords:
Codification, geodesic coordinates, Multiparty, Stream, VoIP, Videoconference, P2P, Security, Pocket PC, Smart Phone, PDA
Full Paper, pp. 37-46

Monotone Systems Approach in Inductive Learning
by Peeter Roosmann, Leo Vohandu, Rein Kuusik, Tarvo Treier, Grete Lind

Abstract: In this paper we present a new approach for machine learning (ML) task solution based on Monotone Systems Theory, an inductive learning algorithm named by the authors as MONSIL (MONotone Systems in Inductive Learning). It has some advantages compared with several ML algorithms as rules overlapping, it can use several pruning techniques etc. The algorithm MONSIL usually produces more rules than other ML algorithms and it means that it would be more work-consuming than others, but as our experiments show, MONSIL works quite effectively.
In the paper we define also main terms of monotone systems theory, describe how to create monotone system to the data table and describe main advantages of the monotone systems approach. We also prove that concept description found by MONSIL is complete and consistent, explain algorithm’s main steps on examples and discuss results of experiments comparing MONSIL effectiveness with well-known ID3.
Keywords:
Inductive learning, Machine learning, Machine learning algorithm, Monotone systems theory
Full Paper, pp. 47-56

A Secret Sharing Scheme Based on Exponentiation in Galois Fields
by Clara M. Gallardo, Leandro Tortosa, Jose F. Vicent, Antonio Zamora

Abstract: To provide more efficient and flexible alternatives for the applications of secret sharing schemes, this paper describes a threshold sharing scheme based on exponentiation of matrices in Galois fields. A significant characteristic of the proposed scheme is that each participant has to keep only one master secret share which can be used to reconstruct different group secrets according to the number of threshold values.
Keywords:
Computer security, cryptography, public-key cryptography, threshold schemes, prepositioned secret sharing
Full Paper, pp. 57-66