Amal Ali Mohammed

@uomustansiriyah.edu.iq

Highway and Transportation Engineering Department
Mustansiriyah University

Amal Ali Mohammed


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https://researchid.co/amohammed1
Assistant Professor at the Faculty of Engineering, University of Mustansiriya and I have many researches and also participated in several conferences.
Teaching students the primary courses of mathematics in addition to giving lectures to graduate students in the department.

EDUCATION

Ph.D. Mathematics Science

RESEARCH INTERESTS

Applied Mathematics, Numerical Analysis, Statistics and Integral - Differential Equations
7

Scopus Publications

73

Scholar Citations

5

Scholar h-index

1

Scholar i10-index

Scopus Publications

  • Review of intelligent transportation systems methodology models
    Zubaida Alazawi, Amal Mohammed, Khalid Chaloob, Yasmin Kitab, Omar Alani
    Journal of University of Anbar for Pure Science, 2025
    Intelligent transportation systems have been integrated and adapted to our daily lives. Transportation is one of the sustainable systems and an essential aspect of the shift toward a digital economy and intelligence. Here, we explore the theory of transportation services by exploring a mathematical model using queueing theory. Several methodologies have been employed for this theory, including micro- and Macro-simulation models. They have been used for the purpose of enhancing the analysis of intelligent transport systems. Intelligent transportation systems (ITS) are revolutionizing the management of transportation networks, leveraging advanced technologies to improve efficiency, safety, and sustainability. Operations research (OR) plays a crucial role in designing and optimizing these systems and providing mathematical models and computational techniques to address complex transportation challenges. This paper reviews the integration of OR methodologies and their role in developing and managing ITSs, including optimization, queuing theory, simulation, and network modeling. We assess technical applications for optimizing traffic flow, congestion, and instantaneous decisionmaking in transportation systems. OR contributes to ITS by using optimization models for route planning and traffic queue management. Simulation techniques also used to evaluate the system performance under different scenarios. The paper highlights the increasing trend of addressing multifaceted modern transportation networks by hybridizing models of multiple OR approaches. We aim to gather insight into current ITS methodology models, applications, and limitations by synthesizing recent advancements. Additionally, our aim is to identify emerging trends and future research directions, with a focus on big data, autonomous vehicles, and smart cities. This is a valuable resource in leveraging OR tools for ITS operations and designs.
  • Utilizing various statistical techniques to estimate the scale parameter for the Rayleigh distribution
    Results in Nonlinear Analysis, 2025
    The purpose of this paper is to use statistical estimating techniques to estimate the scale parameter of the Rayleigh distribution (maximum likelihood, rank set sampling, Bayes, and robust Bayes estimators) under complete data.A non-Bayes estimator is obtained by rank set sampling and maximum likelihood.The inverted gamma distribution and the inverted exponential distribution based on symmetric unbalanced (squared error) and balanced (quadratic) loss functions are used as Bayesian estimators.Robust Bayes analysis for the Rayleigh distribution depends on (unbalanced and balanced) loss functions based on ML-II--contaminated class and derived under the prior contaminant distribution of the Frechet distribution.The estimators' performances are contrasted according to simulation experiments for different cases and sample sizes depending on the value for the mean squared error.
  • A numerical comparison between the approximation and the estimation of the reversed hazard rate function for the inverted Kumaraswamy distribution
    Sudad K. Abraheem, Amal A. Mohammed, Hawraa J. Kadhim
    Aip Conference Proceedings, 2024
  • Some methods to approximate and estimate the reliability function of inverse Rayleigh distribution
    Results in Nonlinear Analysis, 2024
  • Estimate the shape parameter for the Kumaraswamy distribution via some estimation methods
    Results in Nonlinear Analysis, 2024
  • A comparative study on the double prior for reliability kumaraswamy distribution with numerical solution
    Abraheem Et al.
    Baghdad Science Journal, 2020
    This work, deals with Kumaraswamy distribution. Kumaraswamy (1976, 1978) showed well known probability distribution functions such as the normal, beta and log-normal but in (1980) Kumaraswamy developed a more general probability density function for double bounded random processes, which is known as Kumaraswamy’s distribution. Classical maximum likelihood and Bayes methods estimator are used to estimate the unknown shape parameter (b). Reliability function are obtained using symmetric loss functions by using three types of informative priors two single priors and one double prior. In addition, a comparison is made for the performance of these estimators with respect to the numerical solution which are found using expansion method. The results showed that the reliability estimator under Rn and R3 is the best.
  • Bayesian Estimation of Reliability Burr Type XII under Al-Bayyatis' Suggest Loss Function with Numerical Solution
    Amal A. Mohammed, Sudad K. Abraheem, Nadia J. Fezaa Al-Obedy
    Journal of Physics Conference Series, 2018
    In this paper is considered with Burr type XII distribution. The maximum likelihood, Bayes methods of estimation are used for estimating the unknown scale parameter (α). Al-Bayyatis' loss function and suggest loss function are used to find the reliability with the least loss. So the reliability function is expanded in terms of a set of power function. For this performance, the Matlab (ver.9) is used in computations and some examples are given.

RECENT SCHOLAR PUBLICATIONS

  • Utilizing various statistical techniques to estimate the scale parameter for the Rayleigh distribution
    AAFHA Noor, AA Mohammed, SK Abraheem
    Results in Nonlinear Analysis 8 (2), 182–206-182–206 , 2025
    2025
  • A comparison study between Bayesian robustness estimation and numerical methods for the scale parameter of the Rayleigh distribution
    AAM Abu Al-Fadl Hussein Ali Noor , Sudad K. Abraheem
    Journal of the College of Basic Education 3, 145-164 , 2025
    2025
  • Review of intelligent transportation systems methodology models
    Z Alazawi, AA Mohammed, KZ Chaloob, YH Abd
    Journal of University of Anbar for Pure Science 19 (2) , 2025
    2025
  • A numerical comparison between the approximation and the estimation of the reversed hazard rate function for the inverted Kumaraswamy distribution
    SK Abraheem, AA Mohammed, HJ Kadhim
    AIP Conference Proceedings 3219 (1) , 2024
    2024
    Citations: 2
  • Some methods to approximate and estimate the reliability function of inverse Rayleigh distribution
    S Abraheem, NJF Al-Obedy, AA Mohammed
    Results in Nonlinear Analysis 7 (3), 19-28 , 2024
    2024
    Citations: 4
  • Estimate the shape parameter for the Kumaraswamy distribution via some estimation methods
    SK Abraheem, YH Abd, AA Mohammed
    Results in Nonlinear Analysis 7 (1), 142-155 , 2024
    2024
    Citations: 3
  • Quality of Life among Chronic Hemodialysis Patients at Minia City
    KA Zedan, NM Amein, AA Mohammed
    Minia Scientific Nursing Journal 12 (1), 142-148 , 2022
    2022
    Citations: 2
  • On the maximum likelihood, Bayes and expansion estimation for the reliability function of Kumaraswamy distribution under different loos function
    MA Mahmoud, SK Abraheem, AA Mohammed
    International Journal of Nonlinear Analysis and Applications 13 (1), 1587-1604 , 2022
    2022
    Citations: 2
  • A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution
    MA Mahmoud, AA Mohammed, SK Abraheem
    International Journal of Nonlinear Analysis and Applications 13 (1), 1417-1434 , 2022
    2022
    Citations: 2
  • A Comparative Study on the Double Prior for Reliability Kumaraswamy Distribution with Numerical Solution
    NJFAOAAM Sudad K. Abraheem
    Baghdad Science Journal 17 (1), 159-165 , 2020
    2020
    Citations: 8
  • Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model
    NJF Al-Obedy, AA Mohammed, SK Abraheem
    Journal of University of Anbar for Pure Science (JUAPS) 14 (2), 88-94 , 2020
    2020
    Citations: 2
  • REAL OBSERVATIONS AND SIMULATION OF FREEWAY MERGING TRAFFIC AT BAGHDAD CITY
    AAM Jalal Al-Obaedi, Muhanad Al-Temimy
    Global Journal of Engineering Science and Research Management 5 (11), 1-9 , 2018
    2018
  • SIMULATION AND OPTIMZING TRAFFIC FLOW AT SIGNALIZED INTERSECTION USING MATLAB
    RH Dr Mohammed B. Abduljabbar, Dr Amal Ali
    Global Journal of Engineering Science and Research Management 5 (10), 17-22 , 2018
    2018
  • Traffic Characteristics for A Freeway Normal Section at Baghdad City
    AA ,Jalal T. S. Al-Obaedi, Muhanad Al-temimy
    International Journal of Engineering & Technology 7 (4.20), 283-286 , 2018
    2018
    Citations: 4
  • Bayesian Estimation of Reliability Burr Type XII Under Al-Bayyatis' Suggest Loss Function with Numerical Solution
    SKANJFAO Amal A. Mohammed
    Journal of Physics: Conference Series 1003 (012041 ISSN: 1742-6596), 1-16 , 2018
    2018
    Citations: 5
  • Numerical Solution of Initial Value Problem to Solve Linear System of the First Order Differential Equations with Tridiagonal Matrix
    DAAMDSK Ibraheem
    المؤتمرالعلمي الاول لكلية النسور الجامعة , 2017 ‎
    2017
  • Algorithm to Solve Linear Volterra Fractional Integro-Differential Equation via Elzaki Transform
    YHA Dr. Amaal A. Mohammed
    Ibn Al-Haitham Journal for Pure and Applied Science 30 (2), pp.192-201 , 2017
    2017
  • Using Kernel Estimator and K-Mean Clustering Approach to Hand Gesture Recognition
    B Mitras, AAA Mohammed
    Al-Rafidain Journal of Computer Sciences and Mathematics 10 (1), 137-145 , 2013
    2013
  • Kronecker Product Operations to Find Functions of Higher Dimensions Using Least Squares Method
    DAAM Dr. Sudad K. Ibraheem
    Journal of Al Rafidain University College 31 (ISSN (1681 – 6870)), 31-42 , 2013
    2013
  • Kronecker Product and Approximate for the Functions of Two Variables Using B-Spline Functions
    AA Mohammed
    مجلة كلية التربية , 2012 ‎
    2012

MOST CITED SCHOLAR PUBLICATIONS

  • Numerical solution of 𝑁𝑡ℎ order linear delay differential equation using Runge-Kutta method
    SN Al-Rawi, RK Salih, AA Mohammed
    Um Salama Science journal 3 (1), 140-146 , 2006
    2006
    Citations: 19
  • A Comparative Study on the Double Prior for Reliability Kumaraswamy Distribution with Numerical Solution
    NJFAOAAM Sudad K. Abraheem
    Baghdad Science Journal 17 (1), 159-165 , 2020
    2020
    Citations: 8
  • Approximate Solution of Differential Equations of Fractional Orders Using Bernstein-Bézier Polynomial
    AA Mohammed
    Al- Mustansiriya J. Sci 23 (No 1), 65-74 , 2012
    2012
    Citations: 6
  • An Efficient Algorithm for nth Order Integro-Differential Equations Using New Haar Wavelets Matrix Designation
    AAM Suha N. Shihab
    International Journal of Emerging Technologies in Computational and Applied … , 2012
    2012
    Citations: 6
  • Bayesian Estimation of Reliability Burr Type XII Under Al-Bayyatis' Suggest Loss Function with Numerical Solution
    SKANJFAO Amal A. Mohammed
    Journal of Physics: Conference Series 1003 (012041 ISSN: 1742-6596), 1-16 , 2018
    2018
    Citations: 5
  • Some methods to approximate and estimate the reliability function of inverse Rayleigh distribution
    S Abraheem, NJF Al-Obedy, AA Mohammed
    Results in Nonlinear Analysis 7 (3), 19-28 , 2024
    2024
    Citations: 4
  • Traffic Characteristics for A Freeway Normal Section at Baghdad City
    AA ,Jalal T. S. Al-Obaedi, Muhanad Al-temimy
    International Journal of Engineering & Technology 7 (4.20), 283-286 , 2018
    2018
    Citations: 4
  • Estimate the shape parameter for the Kumaraswamy distribution via some estimation methods
    SK Abraheem, YH Abd, AA Mohammed
    Results in Nonlinear Analysis 7 (1), 142-155 , 2024
    2024
    Citations: 3
  • Construction of a new technique in Aitken extrapolation method for solving Fredholm integral equation of the first kind with iterated kernel.
    A Mohammed, J Mustafa
    Journal of Education and Science 21 (2), 136.0-142.0 , 2008
    2008
    Citations: 3
  • A numerical comparison between the approximation and the estimation of the reversed hazard rate function for the inverted Kumaraswamy distribution
    SK Abraheem, AA Mohammed, HJ Kadhim
    AIP Conference Proceedings 3219 (1) , 2024
    2024
    Citations: 2
  • Quality of Life among Chronic Hemodialysis Patients at Minia City
    KA Zedan, NM Amein, AA Mohammed
    Minia Scientific Nursing Journal 12 (1), 142-148 , 2022
    2022
    Citations: 2
  • On the maximum likelihood, Bayes and expansion estimation for the reliability function of Kumaraswamy distribution under different loos function
    MA Mahmoud, SK Abraheem, AA Mohammed
    International Journal of Nonlinear Analysis and Applications 13 (1), 1587-1604 , 2022
    2022
    Citations: 2
  • A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution
    MA Mahmoud, AA Mohammed, SK Abraheem
    International Journal of Nonlinear Analysis and Applications 13 (1), 1417-1434 , 2022
    2022
    Citations: 2
  • Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model
    NJF Al-Obedy, AA Mohammed, SK Abraheem
    Journal of University of Anbar for Pure Science (JUAPS) 14 (2), 88-94 , 2020
    2020
    Citations: 2
  • Approximated Solution of Higher–Order Linear Fredholm Integro–Differential Equations by Computing of Singular Value Decomposition (SVD)
    DSKI Dr. Amaal A. Mohammed
    Engineering & Technology Journal 28 (No.14), pp. 4722-4729 , 2010
    2010
    Citations: 2
  • Solution of Lnear System of Volterra Integral Equations of the First Kind via Generalized Invers
    DAA Mohammed
    Al-Rafidain University College For Sciences 25 (16816870), 77-88 , 2009
    2009
    Citations: 2
  • Transform the Multivariate to Unitevariate System and Using Elimination and Duplication Matrices with Some Applications
    NFHAA Dr. Sudad K. Ibraheem,Dr. Amaal A. Mohammed
    Journal of Al Rafidain University College 2 (Issue 30), 35-47 , 2012
    2012
    Citations: 1
  • Utilizing various statistical techniques to estimate the scale parameter for the Rayleigh distribution
    AAFHA Noor, AA Mohammed, SK Abraheem
    Results in Nonlinear Analysis 8 (2), 182–206-182–206 , 2025
    2025
  • A comparison study between Bayesian robustness estimation and numerical methods for the scale parameter of the Rayleigh distribution
    AAM Abu Al-Fadl Hussein Ali Noor , Sudad K. Abraheem
    Journal of the College of Basic Education 3, 145-164 , 2025
    2025
  • Review of intelligent transportation systems methodology models
    Z Alazawi, AA Mohammed, KZ Chaloob, YH Abd
    Journal of University of Anbar for Pure Science 19 (2) , 2025
    2025