• MULTI SERVER MARKOVIAN QUEUE WITH MULTIPLE WORKING VACATIONS, WAITING SERVER, FEEDBACK, RENEGING AND RETENTION OF RENEGED CUSTOMERS 

  MURAD MUMMEDIMER; Dr, Seleshi Demie (PhD); Dr. Melisew Tefera (PhD) (Haramaya University, 2024-06)

  In this thesis an infinite capacity Multi server Markovian queuing system with multiple working vacations, waiting server, feedback, reneging and retention of reneged customers is examined. If all active servers finish ...
• A METHOD BASED ON BERNSTEIN POLYNOMIAL FOR SOLVING NONLINEAR VOLOTERRA-FREDHOLM INTEGRAL EQUATIONS OF SECOND 

  Tajudin Shafi; (PhD) Melisew Tefera; (PhD) Getachow Teshome (Haramaya University, 2024-10)

  In this thesis, we discussed numerical solutions of nonlinear Volterra-Fredholm integral equations by using Bernstein polynomial collocation method. Nonlinear Volterra-Fredholm integral equations which cannot be easily ...
• SINGLE SERVER BATCH SERVICE MARKOVIAN(M/M(a,b)/1)QUEUE WITH VARIANT WORKING VACATION 

  sherif Abrahim Esa; (PhD) Seleshi Demie; (PhD) Getinet Alemayehu (Haramaya University, 2024-09)

  This research investigates a single server batch service queuing system with Poisson arrivals, exponential service times and a server that takes variant working vacations. During working vacation, the server continues to ...
• COMBINATION OF LAPLACE TRANSFORM AND MODIFIED ADOMIAN DECOMPOSITION METHOD FOR SOLVING NONLINEAR TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS 

  Gudeta Alemu Demessa; (PhD) Melisew Tefera Belachew; (PhD) Getinet Alemayehu Wole (Haramaya University, 2024-11)

  A nonlinear time-fractional partial differential equation is used for accurate modeling of complex real-world phenomena. Solving these fractional problems is one of the most challenging tasks in various fields of science ...
• 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 ...

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