# Industrial Mathematics Research Papers/Topics

##### Multi-parametric approach for multilevel multi-leader-multi-follower games using equivalent reformulations

Abstract: Multilevel multi-leader multi-follower games address compromises among multiple interacting decision agents within a hierarchical system in which multiple followers are involved at each lower-level unit and more than one decision maker (multiple leaders) are involved in the upper-level. The leaders' decisions are affected not only by reactions of the followers but also by various relationships among the leaders themselves. In general, multiple-leaders multiple-followers (MLMF) game...

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##### Fuzzy model-based reconstruction of paleovegetation in Ethiopia

Abstract: We introduce a new method to compute plant distribution in Ethiopia under paleoclimatic conditions using fuzzy logic. Using a published map of the potential vegetation for Ethiopia we decipher the boundary conditions for the main vegetation units shown, reflecting modern climatic conditions for temperature and precipitation in this region. Fuzzy logic using these climatic values on a GIS platform then derived the computational map of the potential vegetation. Comparing it with the ...

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##### A Mathematical Model for the Control of Ebola Virus Disease in Nigeria

Ebola Virus Disease is one of the deadliest infectious diseases that has increased both mortality and morbidity rates primarily on the African continent. The aim of this report is to use mathematical modeling and analysis in controlling the spread of this disease. In this study, a mathematical model which represents the transmission and control processes of Ebola Virus Disease among human and vector hosts is developed. The Well-Posedness, Equilibrium States (i.e Disease Free Equilibrium and E...

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##### Location-Allocation-Routing Approach To Solid Waste Collection And Disposal

ABSTRACT Various studies have indicated that the collection phase of solid wastes, which comprises of the initial col- lection at the source of generation and the transportation to the disposal sites, is by far the most expensive. Two fundamental issues of concern in solid waste collection are the locations of initial collection and the period of collection by the dedicated vehicles. However, considering the prevailing conditions of adhoc lo- cation of waste containers and the faulty roads in...

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##### Analytical Study And Generalisation Of Selected Stock Option Valuation Models

ABSTRACT In this work, the classical Black-Scholes model for stock option valuation on the basis of some stochastic dynamics was considered. As a result, a stock option val- uation model with a non-_xed constant drift coe_cient was derived. The classical Black-Scholes model was generalised via the application of the Constant Elasticity of Variance Model (CEVM) with regard to two cases: case one was without a dividend yield parameter while case two was with a dividend yield parameter. In both ...

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##### Semi-Analytical Vibration Analysis Of An Elastically Connected Non-Prismatic Double-Beam System With A Pasternak Middle Layer

Abstract

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##### Comparative Analysis of Time Steps Distribution in Runge-Kutta Algorithms

Abstract This study utilized combination of phase plots,time Steps distribution and adaptive time steps Runge-Kutta and fifth order algorithms to investigate a harmonically Duffing oscillator.The object is to visually compare fourth and fifth order Runge-Kutta algorithm performance as took for seeking the chaotic solutions of a harmonically excited Duffing oscillator.Though fifth order algorithms favours higher time steps and as such faster to execute than fourth order for all studied cases.T...

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##### TECHNICAL REPORT ON STUDENT INDUSTRIAL WORK EXPERIENCE SCHEME (S.I.W.E.S) AT ECONOMIC AND BUSINESS POLICY DEPARTMENT NIGERIAN INSTITUTE OF SOCIAL AND ECONOMIC RESEARCH(NISER)

I observed my Student Industrial Work Experience Scheme at Nigerian Institute of Social and Economic Research (NISER), Ibadan, Oyo State, Nigeria. During my SIWES, I was able to learn how to make use of some complex statistical (computational) packages in coding and analyses of data, either primary data or secondary data. And I also learned how to interpret analyzed data for end users. Furthermore, I saw the practical applications of Mathematics to solve problems in organizations, companie...

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##### ON HAMMING’S LINEAR MULTI-STEP FIXED POINT ITERATIVE METHOD AND ITS APPLICATION IN THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

The linear multi-step method in this work is established to be a numeric fixed point iterative method for solving the initial value problem. Such that when βk ̸= 0, the method is called implicit or otherwise, it is called an explicit method. In section one, preliminaries of the linear multi-step methods bordering on the truncation errors and consistency conditions were discussed while section two is devoted to theoretical presentation of the usual Hamming’s method as a fixed point iterati...

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##### Multistage Optimization in Supply Chain (Case Study: WEMY Industries Ltd)

Before the 1950s, logistics was thought of in military terms. It had to do with procurement, maintenance, and transportation of military facilities, material, and personnel. The study and practice of physical distribution and logistics emerged in the 1960s and 1970s. Logistics cost in the U.S. accounted for 15% of the gross national product and on an individual firm level, they could be as high as 32%. In the 1990s, a new name emerges: “supply chain management”. This name took the logisti...

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##### Hamiltonian Approach for Constrained Optimization

The Hamiltonian approach for constrained optimization is indeed a useful tool in the hands of the economists, scientists and statisticians who applied it in the modelling of optimization problems. It can be noted that the treatise in this research work is an eye opener for a better understanding, application and utilization of the method as we exploit its vitality to solving optimization problems. Though, the approach seems to be a derived approach from existed ones but also intensified a g...

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##### Numerical Solution of a One-Dimensional Second Order Macroscopic Traffic Flow Model with a Source Term.

The study of traffic models has given rise to many models with the aim of realistically determining the behavior of traffic. The dynamics of the macroscopic traffic flow is modeled by a partial differential equation, where the object of study is to determine the density of traffic flow. We derived a second order macroscopic traffic flow model equation from a first order one using the Fick’s law of diffusion. We formulated second order macroscopic traffic flow model equation with a sourc...

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##### Adam-Bashforth Iterative Scheme for Initial Value Problems

ABSTRACT In this project work, we studied the Adams-Bashforth scheme for solving initial value problems. We gave an indebt explanation on the Adam-Bashforth scheme, its consistency, stability, and convergence, the two and three step methods were also derived. Numerical solutions were obtained using four (4) examples. TABLE OF CONTENTS  Cover page                        i                                                                          ...

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##### Application of Shooting Method and Finite Difference Method in Providing Solution to Two Boundaries Value Problems

This paper investigates the efficacy of the shooting method and finite difference method in the numerical solution of two point boundary value non linear problems. The difficulty in providing exact solutions to two point boundary value problems via analytical methods necessitated the study. The shooting method which utilizes the Runge-Kutta method as integrator provides us with a better approximation to the solution than the finite difference method which utilizes second order, central differ...

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##### Application of Forward Difference Operator on Sequence of numbers

A new formula based on forward difference operator is derived herein, the formula is used to compute the nth term and sum (Sn) of an Arithmetic progression. The merit of using the formula is that if given ,  the nth term of an A.P can be easily and quickly computed if n is not known.

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