• SOLVING QUADRATIC PROGRAMMING PROBLEM WITH INTERVAL COEFFICIENTS USING BEAL’S METHOD 

  Ketemaw Demeke Getahun; (PhD) Alemayehu; (PhD) Getachew Teshome (Haramaya University, 2024-01)

  Formulating and solving IQPP is a very interesting and challenging problem. The main difficulty is that if the constraints have interval coefficients, then the feasible region is not fixed. Instead there are an infinite ...
• MATHEMATICAL MODELING OF ANTHRAX TRANSMISSION IN LIVESTOCK: THE CASE OF EAST HARARGIE ZONE, MELKA BELO WOREDA 

  Jafer Amme Usman; Getachew Teshome (PhD); Melisew Tefera (PhD) (Haramaya University, 2024-02)

  Anthrax is a disease caused by the bacterial Bacillus anthracis. It occurs in a worldwide and can infect a wide range of domestic and wild animal species. The deterministic mathematical model was developed and analyzed ...
• LINEAR COMBINATION COMPONENTS INFORMATION BASED PARTICLE SWARM OPTIMIZATION 

  Mohammed Jemal Usman; (PhD) Getinet Alemayehu; (PhD) Seleshi Demie (Haramaya University, 2022-12)

  The particle swarm optimization algorithm has been successfully shown to perform well on various optimization problems. Nevertheless, it may be easy to get trapped in a local optimum (premature convergence) when solving ...
• A COMPARATIVE STUDY OF HOMOTOPY PERTURBATION METHOD AND RUNGE-KUTTA BASED NONLINEAR SHOOTING METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS 

  Riyad Ajeba Musa; Melisew Tefera (PhD); Getachow Tashome (PhD) (Haramaya University, 2023-08)

  In this project work a comparative study of homotopy perturbation method and Runge-Kutta based nonlinear shooting method for solving second order to sixth order nonlinear boundary value problems were conducted. Homotopy ...
• TENTH ORDER MULTI-STEP PREDICTOR-CORRECTOR METHOD FOR SOLVING THE GENERALIZED QUADRATIC RICCATI DIFFERENTIAL EQUATION 

  GONFA BIRU FEDA; Melisew Tefera Belachew (PhD); Seleshi Demie (PhD) (Haramaya University, 2023-12)

  In this study, tenth order multi-step predictor-corrector method is formulated for solving the generalized quadratic Riccati differential equations. In order to formulate this method, first, the interval is discretized ...
• MODELING HEPATITIS B VIRUS TRANSMISSION WITH FRACTIONAL ORDER DIFFERENTIAL EQUATIONS AND VACCINATION IN ETHIOPIA 

  Nesredin Mohammed Adem; Getachew Teshome (PhD); Woldegebriel Assefa (PhD) (Haramaya University, 2020-09)

  In this thesis a deterministic mathematical model of HBV dynamics with vaccination is developed. The model is also extended in to fractional order to consider memory ef- fect. We formulated and analyzed a deterministic ...
• A HETEROGENEOUS TWO-SERVER MARKOVIAN QUEUE WITH DIFFERENTIATED VACATION, WAITING SERVER, RENEGING AND RETENTION OF RENEGING CUSTOMERS 

  Kedir Muktar Abdukerim; Seleshi Demie (PhD); Getachew Teshome (PhD) (Haramaya University, 2023-10)

  In this thesis a heterogeneous two servers Markovian queue with differentiated vacations, waiting server, reneging and retention of reneged customers was analyzed. The server serves the customers on a first-come, first-served ...
• BEST PARTICLE MEAN DIMENSION INFORMATION BASED PARTICLE SWARM OPTIMIZATION 

  Adam Siraj Ahmed; Getinet Alemayehu (PhD); Seleshi Demie (PhD) (Haramaya University, 2022-08)

  The Particle Swarm Optimization algorithm has been empirically shown to perform well on many optimization problems. However, it may easily get trapped in a local optimum (premature convergence) when solving complex multimodal ...
• A GOAL PROGRAMMING APPROACH TO MULTI-CHOICE MULTI OBJECTIVE STOCHASTIC TRANSPORTATION PROBLEMS WITH LOGISTIC DISTRIBUTION 

  Mumeya Zenu Hassen; Seleshi Demie (Ph.D.); Getinet Alemayehu (Ph.D.) (Haramaya University, 2023-07)

  This thesis presents the study of a multichoice multiobjective transportation problem (MCMOTP) when at least one of the objectives has multichoice coefficient and multiple aspiration levels to achieve, and the parameters ...
• MATHEMATICAL MODEL AND ITS ANALYSIS OF SHIGELLOSIS DISEASE DYNAMICS 

  GETAHUN ASSEFA SIME; Getachew Teshome (PhD); Getinet Alemayehu (PhD) (Haramaya University, 2022-08)

  Shigellosis is one of the most common diarrhea diseases causing lots of morbidity and mortality in developing countries. Shigellosis can occur at any age but it has particularly violence for babies and children. ...
• TWO HETEROGENEOUS SERVERS MARKOVIAN QUEUE WITH IMPATIENT CUSTOMERS, SYNCHRONOUS VACATIONS AND N-POLICY ON SLOW SERVER 

  FIROMSA AHMEDNUR TESFAYE; Seleshi Demie (PhD); Getachew Teshome (PhD) (Haramaya University, 2023-03)

  In this thesis two heterogeneous servers Markovian queue with server states dependent customers’ impatience (balking and reneging), synchronous vacations and N-Policy on slow server is examined. Whenever a customer arrives ...
• AUGMENTED LAGRANGIAN METHOD FOR SOLVING INEQUALITY CONSTRAINED NONLINEAR MIN-MAX OPTIMIZATION PROBLEMS 

  WUBALEM SHIGUTE DOBAMO; Getinet Alemayehu (PhD); Melisew Tefera (PhD) (Haramaya University, 2021-10)

  In this project work nonlinear min-max optimization problems subject to inequality constraints were considered. The objective of this project work was to find an approximate solution of min-max optimization problems ...
• EXPONENTIALLY FITTED FINITE DIFFERENCE SCHEME FOR SOLVING SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH SMALL AND LARGE DELAYS 

  ISKENDER SAID GELETU; Melisew Tefera Belachew (PhD); Getachew Teshome (PhD) (Haramaya University, 2021-07)

  The main objective of this project is to study exponentially fitted finite difference method, develop stable, convergent and demonstrate the efficient numerical method for solving singularly perturbed differential ...
• A COMPARATIVE STUDY FOR SOLVING FIRST ORDER LOGISTIC EQUATIONS BY USING STANDARD AND NON-STANDARD FINITE DIFFERENCE METHODS 

  Temesgen Osro Ayano; Temesgen Osro Ayano (Haramaya University, 2020-06)

  Logistic equations are mostly used to model real life problems. However it is known that in general, these equations do not have analytic solution. For that reason, researchers have tried to solve these problems by ...
• MATHEMATICAL MODELING OF TYPHOID FEVER WITH DRUG RESISTANCE COMPARTMENT 

  Bahmud Geleto Bedaso; (Ph.D.) Getachew Teshome; (Ph.D.) Seleshi Demie (Haramaya University, 2021-01)

  In this thesis work, we formulated a deterministic mathematical model of Typhoid fever to describe the transmission dynamics of Typhoid fever and for the purpose of studying the effects of drug resistance on controlling ...
• IMPLEMENTING INQUIRY BASED LEARNING TO ENHANCE GRADE 10 STUDENTS PROBLEM SOLVING SKILLS IN QUADRATIC INEQUALITIES: THE CASE OF DEGOLO PREPARATORY AND GENERAL SECONDARY SCHOOL, JAMMAWOREDA, AMHARA REGIONAL STATE 

  Menberu Wale; Dr. GetinetAlemayehu (PhD); Dr. GetachewTeshome (PhD) (Haramaya University, Haramaya, 2022-11)

  The main purpose of this study was to investigate the implementation of inquiry based learning strategy to enhance grade 10 students’ problem solving skills inquadratic inequalities. The study was conducted in Degolo ...
• CROWDING DISTANCE BASED NON-DOMINATED SORTING GENETIC ALGORITHM II FOR MULTI-OBJECTIVE OPTIMIZATION 

  Fadlu Haseno Abduselam; (Ph.D.) Getinet Alemayehu; (Ph.D.) Melisew Tefera (Haramaya University, 2023-02)

  Generating Pareto front of multi-objective optimization problems is a difficult task, it needs to simultaneously optimize multiple conflicting objectives. This thesis improves the crowding distance operator of the NSGA-II ...

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