권호 표지

Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (KSCAM)

  • 연3회간
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)

Domain

  • Mathematics ＞ Applied Mathematics

Aim & Scope

This is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical Informatics. Thus, the major areas, such as Numerical Analysis, Discrete Optimization, Linear and Nonlinear Programming, Theory of Computation(Computational Complexity, Automata and Formal Languages), Control Theory, Theory of Algorithms, Computational Logic, Applied Combinatorics (including graphs, codes, and designs), Coding Theory, Cryptographics, Big data, AI, Fuzzy Theory with applications, Differential Equations with applications, etc., are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics, and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.

KSCI KCI SCOPUS

Volume 39 Issue 5_6

  1. CHAKRAVARTHY, SRINIVAS R. 601
    https://doi.org/10.14317/jami.2021.601 PDF KSCI
    Retrial queueing models have been studied extensively in the literature. These have many practical applications, especially in service sectors. However, retrial queueing models have their own limitations. Typically, analyzing such models involve level-dependent quasi-birth-and-death processes, and hence some form of a truncation or an approximate method or simulation approach is needed to study in steady-state. Secondly, in general, the customers are not served on a first-come-first-served basis. The latter is the case when a new arrival may find a free server while prior arrivals are waiting in the retrial orbit due to the servers being busy during their arrivals. In this paper, we take a different approach to the study of multi-server retrial queues in which the signals are generated in such a way to provide a reasonably fair treatment to all the customers seeking service. Further, this approach makes the study to be level-independent quasi-birth-and-death process. This approach is different from any considered in the literature. Using matrix-analytic methods we analyze MAP/M/c-type retrial queueing models along with Poisson signals in steady-state. Illustrative numerical examples including a comparison with previously published retrial queues are presented and they show marked improvements in providing a quality of service to the customers.
  2. LIM, JUNG WOOK;KANG, JUNG YOOG 617
    https://doi.org/10.14317/jami.2021.617 PDF KSCI
    Let R be a commutative ring with identity, R[X] the polynomial ring over R and S a multiplicative subset of R. Let U = {f ∈ R[X] | f is monic} and let N = {f ∈ R[X] | c(f) = R}. In this paper, we show that if S is an anti-Archimedean subset of R, then R is an S-Noetherian ring if and only if R[X]U is an S-Noetherian ring, if and only if R[X]N is an S-Noetherian ring. We also prove that if R is an integral domain and R[X]U is an S-principal ideal domain, then R is an S-principal ideal domain.
  3. WOLDAREGAY, MESFIN MEKURIA;DURESSA, GEMECHIS FILE 623
    https://doi.org/10.14317/jami.2021.623 PDF KSCI
    In this paper, numerical treatment of singularly perturbed parabolic delay differential equations is considered. The considered problem have small delay on the spatial variable of the reaction term. To treat the delay term, Taylor series approximation is applied. The resulting singularly perturbed parabolic PDEs is solved using Crank Nicolson method in temporal direction with non-standard finite difference method in spatial direction. A detail stability and convergence analysis of the scheme is given. We proved the uniform convergence of the scheme with order of convergence O(N-1 + (∆t)2), where N is the number of mesh points in spatial discretization and ∆t is mesh length in temporal discretization. Two test examples are used to validate the theoretical results of the scheme.
  4. JUNG, N.S.;RYOO, C.S. 643
    https://doi.org/10.14317/jami.2021.643 PDF KSCI
    In this paper, we define a modified q-poly-Bernoulli polynomials of the first type and modified q-poly-tangent polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.
  5. DABA, IMIRU TAKELE;DURESSA, GEMECHIS FILE 655
    https://doi.org/10.14317/jami.2021.655 PDF KSCI
    A parameter uniform numerical scheme is proposed for solving singularly perturbed parabolic partial differential-difference convection-diffusion equations with a small delay and advance parameters in reaction terms and spatial variable. Taylor's series expansion is applied to approximate problems with the delay and advance terms. The resulting singularly perturbed parabolic convection-diffusion equation is solved by utilizing the implicit Euler method for the temporal discretization and finite difference method for the spatial discretization on a uniform mesh. The proposed numerical scheme is shown to be an ε-uniformly convergent accurate of the first order in time and second-order in space directions. The efficiency of the scheme is proved by some numerical experiments and by comparing the results with other results. It has been found that the proposed numerical scheme gives a more accurate approximate solution than some available numerical methods in the literature.
  6. HA, MIJIN;LI, QI;KIM, DONGHYUN;YOON, JI-HUN 677
    https://doi.org/10.14317/jami.2021.677 PDF KSCI
    In the modern financial market, the scale of financial instrument transactions in the over-the-counter (OTC) market are increasing. However, in this market, there exists a counterparty credit risk. Herein, we obtain a closed-form solution of power option with credit risks, using the double Mellin transforms. We also use a numerical method to compare the differentiations of option price between the closed-form solution and Monte-Carlo simulation. The result shows that the closed-form solution is precise. In addition, the option's price is sensitive to the exponent of the maturity stock price.
  7. JAYALAKSHMI, M.;PADMA, M.M. 689
    https://doi.org/10.14317/jami.2021.689 PDF KSCI
    The purpose of this paper is to optimize the number of source places required for the unique representation of the destination using the tools of graph theory. A subset S of vertices of a graph G is called a rational resolving set of G if for each pair u, v ∈ V - S, there is a vertex s ∈ S such that d(u/s) ≠ d(v/s), where d(x/s) denotes the mean of the distances from the vertex s to all those y ∈ N[x]. A rational resolving set is called minimal rational resolving set if no proper subset of it is a rational resolving set. In this paper we study varieties of minimal rational resolving sets defined on the basis of its complements and compute the minimum and maximum cardinality of such sets, respectively called as lower and upper rational metric dimensions for power of a path Pn analysing various possibilities.
  8. HAN, SUNGHYU 703
    https://doi.org/10.14317/jami.2021.703 PDF KSCI
    There are several methods for constructing self-dual codes. Among them, the building-up construction is a powerful method. Recently, Kim and Choi proposed special building-up constructions which use symmetric generator matrices for self-dual codes over GF(q), where q is odd. In this paper, we study the same method when q is even.
  9. ECE, SADETTIN;EKER, SEVTAP SUMER;SEKER, BILAL 717
    https://doi.org/10.14317/jami.2021.717 PDF KSCI
    The purpose of the present paper is to give sufficient conditions for normalized Dini function which is the special combination of the generalized Bessel function of first kind to be in the classes k-starlike functions and k-uniformly convex functions.
  10. SOUPRAMANIEN, T.;RAMACHANDRAN, C.;CHO, NAK EUN 725
    https://doi.org/10.14317/jami.2021.725 PDF KSCI
    The aim of this article is to estimate the coefficient bounds of certain subclasses of analytic functions. We claim that this is a novel and unique effort in combining the coefficient functional along with the new domains and the probability distributions which have not been found or are available in the literature of coefficients bounds. Here the authors analyze these bounds in the special domains associated with exponential function and sine function. Further we obtain Fekete-Szegö inequalities for the defined subclasses of analytic functions defined through Poisson distribution series and Pascal distribution series.
  11. SWAMINATHAN, A.;SANKARI, M. 743
    https://doi.org/10.14317/jami.2021.743 PDF KSCI
    The purpose of this article is to study few properties of fuzzy mean open and fuzzy mean closed sets in fuzzy topological spaces. Further, the idea of fuzzy mean clopen set is introduced. It is observed that a fuzzy mean clopen set is both fuzzy mean open and fuzzy mean closed but the converse is not true.
  12. HWANG, JINMI;JEONG, MIRAN;KIM, SEJONG 751
    https://doi.org/10.14317/jami.2021.751 PDF KSCI
    We study in this paper the right Rényi mean for a quantum divergence induced from the α - z Rényi relative entropy. Many properties including homogeneity, invariance under permutation, repetition and unitary congruence transformation, and determinantal inequality have been presented. Moreover, we give the identity of two right Rényi means with respect to tensor product.
  13. RAHAMAN, MD HAMIDUR 761
    https://doi.org/10.14317/jami.2021.761 PDF KSCI
    Let I be a nonzero ideal of a prime ring R and m, n are positive integers. If R admits a generalized derivation F satisfying F(x)nF(y)m - xnym = 0 for any y, x ∈ I, then F(x) = ax for any x ∈ R and am+n = 1, where a ∈ C, the extended centroid of R.
  14. OH, JU-MOK 769
    https://doi.org/10.14317/jami.2021.769 PDF KSCI
    Demirci ((1999) Vague groups. J. Math. Anal. Appl. 230, 142-156) introduced the concept of vague groups as one of uncertain reasoning structures where indistinguishable operators separate points. In this paper, we consider vague groups in which an indistinguishable operator does not need to separate points because it seems more appropriate to handle ambiguous situations. For our purposes we generalize or redefine some notions such as: vague closed subset, vague subgroup, vague kernel and vague injectiveness. Consequently we generalize most of the known results and obtain some new additional fundamental properties of vague groups, some of which are similar to ones of ordinary groups.
  15. KUMAR, DEVENDRA;KUMAR, MANEESH;ABD EL-BAR, AHMED M.T.;LIMA, MARIA DO CARMO S. 785
    https://doi.org/10.14317/jami.2021.785 PDF KSCI
    The proposal of new families has been worked out by many authors over recent years. Many ways to generate new families have been developed as the methods of addition, linear combination, composition and, one of the newer, the T-X family of distributions. Using this latter method, Korkmaz et al. (2018) proposed a new class called Weibull Marshall-Olkin-G (WMO-G) family. In the present work, we propose a new distribution, based on the WMO-G family, using the Lomax distribution as baseline, called Weibull Marshall-Olkin Lomax (WMOL) distribution. The hazard rate function of this distribution can be increasing, decreasing, bathtub-shaped, decreasing-increasing-decreasing and unimodal. Some properties of the proposed model are developed. Besides that, we consider method of maximum likelihood for estimating the unknown parameters of the WMOL distribution. We provide a simulation study in order to verify the asymptotic properties of the maximum likelihood estimates. The applicability of the new distribution to modeling real life data is proved by two real data sets.
  16. LEE, SHINWON 805
    https://doi.org/10.14317/jami.2021.805 PDF KSCI
    Currently, batteries use commonly as energy sources for mobile electric devices. Due to the high density of energy, the energy storage state of a battery is very important information. To know the battery's energy storage state, it is necessary to find out the open state voltage of the battery. The open state voltage calculates with a mathematical model, but the computation of the real time state is complicated and requires many calculations. Therefore, the state observer designs to estimate in real time the battery open-circuit voltage as disturbance including model error. Using the estimated open voltage and applying it to the state estimation algorithm, we can estimate the charge. In this study, we first estimate the open-circuit voltage and design an estimation algorithm for estimating the state of battery charge. This includes errors in the system model and has a robust characteristic to noise. It is possible to increase the precision of the charge state estimation.
  17. AMMAR, DERBAZI 813
    https://doi.org/10.14317/jami.2021.813 PDF KSCI
    In this work, we present the classical formulation for the antiplane problem of a eletro-viscoelastic materialswith total sliprate dependent friction and write the corresponding variational formulation. In the second step, we prove that the solution converges to the solution of the corresponding electro-elastic problem as the viscosity converges to zero.
  18. WONDIFRAW, YOHANNES GEDAMU;ALEMAYEHU, TEFERI GETACHEW 825
    https://doi.org/10.14317/jami.2021.825 PDF KSCI
    In this paper the concept of ordered fuzzy filters is introduced in Heyting almost distributive lattices and the properties of these ordered fuzzy filters are studied. We characterized and proved a set of theorems of ordered fuzzy filters. Some topological properties of prime ordered fuzzy filters are also studied.
  19. RAJESHWARI, S.;VENKATESWARLU, B.;KUMAR, S.H. NAVEEN 839
    https://doi.org/10.14317/jami.2021.839 PDF KSCI
    In this paper, we investigate the uniqueness problems of certain types of difference-differential polynomials of entire functions sharing a small function. The results of the paper improve and generalize the recent results due to Biswajit Saha [18].
  20. JEON, YONGHO 851
    https://doi.org/10.14317/jami.2021.851 PDF KSCI
    In general, secondary batteries are widely used as an electric energy source. Among them, the state of energy storage of mobile devices is very important information. As a method of estimating a state, there is a method of estimating the state by integrating the current according to an energy storage state of a battery, and a method of designing a state estimator by measuring a voltage and estimating a charge amount based on a battery model. In this study, we designed the state estimator using an extended Kalman filter to increase the precision of the state estimation of the charge amount by including the error of the system model and having the robustness to the noise.
  21. GAFFAR, ABDUL;JOSHI, ANAND B.;KUMAR, DHANESH;MISHRA, VISHNU NARAYAN 859
    https://doi.org/10.14317/jami.2021.859 PDF KSCI
    In the proposed paper, a new algorithm based on Nonlinear Feedback Shift Register (NLFSR) and modified RC4A (Rivest Cipher 4A) cipher is introduced. NLFSR is used for image pixel scrambling while modified RC4A algorithm is used for pixel substitution. NLFSR used in this algorithm is of order 27 with maximum period 227-1 which was found using Field Programmable Gate Arrays (FPGA), a searching method. Modified RC4A algorithm is the modification of RC4A and is modified by introducing non-linear rotation operator in the Key Scheduling Algorithm (KSA) of RC4A cipher. Analysis of occlusion attack (up to 62.5% pixels), noise (salt and pepper, Poisson) attack and key sensitivity are performed to assess the concreteness of the proposed method. Also, some statistical and security analyses are evaluated on various images of different size to empirically assess the robustness of the proposed scheme.
  22. QOQAZEH, HAMZA;AL-QUDAH, YOUSEF;ALMOUSA, MOHAMMAD;JARADAT, ALI 883
    https://doi.org/10.14317/jami.2021.883 PDF KSCI
    The aim of this work is to introduce for the first time the concept of D-set. This is done by defining a special type of cover called a D-cover. we present some results to study the properties of D-compact spaces and their relations with other topological spaces. Several examples are discussed to illustrate and support our main results. Our results extend and generalized many will known results in the literature.
  23. GERVAS, HAMENYIMANA EMANUEL;HUGO, ALFRED K. 895
    https://doi.org/10.14317/jami.2021.895 PDF KSCI
    Human African Trypanosomiasis (HAT) also known as sleeping sickness, is a neglected tropical vector borne disease caused by trypanosome protozoa transmitted by bites of infected tsetse fly. The basic reproduction number, R0 derived using the next generation matrix method which shows that the disease persists in the population if the value of R0 > 1. The numerical simulations of optimal control model carried out to determine the control strategy that can combat HAT under the minimum cost. The results indicate that, the use of both education campaign, treatment and insecticides are more efficient and effective to eliminate HAT in African community but too costly. Furthermore, the cost-effectiveness of the control measures (education campaign, treatment and insecticides) were determined using incremental cost-effectiveness ratio (ICER) approach and the results show that, the use of education and treatment of infected people as the best cost effective strategy compared to other strategies.
  24. OUDETALLAH, JAMAL;ROUSAN, MOHAMMAD M.;BATIHA, IQBAL M. 919
    https://doi.org/10.14317/jami.2021.919 PDF KSCI
    This paper intends to define the metacompact spaces and the D-metacompact spaces as well as study their properties along with their relations with some other topological spaces. Several theoretical results are stated and proved with meticulous care through generalizing many well known theorems concerning with metacompact spaces. These results are supported via handling some illustrative examples.