RESEARCH PUBLICATIONS

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Browsing RESEARCH PUBLICATIONS by Author "Acheampong, E."

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    Mathematical Model to Extrapolate the Population of Ghana: An Application of Newton‟s Divided Difference Formula
    (Asia Pacific Journal of Multidisciplinary Research, 2015-05) Opoku-Sarkodie, Richmond; Acheampong, E.; Enu, Patrick; Bokoum, Amadu; Gardiner, F. A.; Manu, T. A.
    This work presents the derivation of a mathematical model for extrapolating the population of Ghana using Newton’s divided difference formula. Newton’s divided difference formula was used because of the uneven time intervals at which the population census was conducted. A simulation was done using mathematical software to estimate the parameters in the derived model because the exact solution was quite difficult. The model was able to predict the population of Ghana with a residual percentage error within 10%. We will therefore recommend the usage of this model to be used for countries in which the population censuses were conducted at uneven time intervals as was the case with Ghana
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    Mathematical Model to Extrapolate the Population of Ghana: An Application of Newton‟s Divided Difference Formula
    (Asia Pacific Journal of Multidisciplinary Research, 2015-05-02) Opoku-Sarkodie, Richmond; Acheampong, E.; Enu, Patrick; Bokoum, Amadu; Gardiner, F. A.; Manu, T. A.
    This work presents the derivation of a mathematical model for extrapolating the population of Ghana using Newton’s divided difference formula. Newton’s divided difference formula was used because of the uneven time intervals at which the population census was conducted. A simulation was done using mathematical software to estimate the parameters in the derived model because the exact solution was quite difficult. The model was able to predict the population of Ghana with a residual percentage error within 10%. We will therefore recommend the usage of this model to be used for countries in which the population censuses were conducted at uneven time intervals as was the case with Ghana.
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    Modelling the Queue at the Scan Station of Tema Port: An Application of Queuing Theory
    (Asia Pacific Journal of Education, Arts and Sciences, 2015-07-03) Acheampong, E.; Opoku-Sarkodie, R.
    The long hours spent in queues by imported consignment of goods waiting to be scanned causes congestion at the Tema Port. This study was conducted to find ways of reducing the time spent in queues by imported consignment of goods at the Tema Port. The main objective of this study was to minimize the time spent in queues by imported consignment of goods designated for the two scanners (Scanco and Nick-TC) for examination at the Tema Port. The study employed the technique of queuing theory for the analysis. We found that, the Scanco scanner had a faster service rate than the Nick-TC scanner when both were considered under the M/M/1 model where the two scanners served two independent queues. However, under the M/M/2 model where the two independent parallel scanners served one queue of designated consignments, the number of consignments (mean system size) in the queuing system reduced to 8.3984 per hour with an average waiting time of 0.5339 hours. Based on the findings, the following policy recommendations were made: The Ghana Ports and Harbours Authority, and the Government of Ghana must formulate policies to permit the two current existing scanners to serve only one single queue in order to ease the congestion caused by long hours of waiting in a queue.
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    A simple air deterministic mathematical model for determining oxygen and carbondioxide concentration in a sealed environment
    (Research Journal of Mathematics and Statistics, 2014-08-25) Acheampong, E.; Gardiner, P.; Opoku-Sarkodie, R.; Manu, T.
    This study presents a mathematical model that simulates oxygen and carbon-dioxide concentrations in a sealed environment without the actual measurement of the presence of these substances. Using Mathematical software for simulation, the model was tested using data (volume in cubic meters) of a sealed environment whiles varying the number of people in that environment. The results revealed that, the number of people in the sealed environment affected the concentrations of these substances in the air. Also the model revealed that there is a time (threshold) beyond which it will be unsafe to stay in such an environment.
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    Vector-valued function application to projectile motion
    (Asia Pacific Journal of Education, Arts and Sciences, 2015-04-14) Opoku-Sarkodie, Richmond; Acheampong, E.
    This research work study the motion of a projectile without air resistance using vector-valued function. In this work, we combined the factors that affect the path of a trajectory to determine how a pilot can jump off from an aircraft into a river which is located at a known distance without falling on the ground in case there is a failure in the parachute. Based on our study of the problem statement, we established a theorem which states that at every maximum point (time) of a projectile (ignoring air resistance), the tangential component of acceleration is equal to zero and the normal component of acceleration is equal to gravity.
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