Rebecca N Arhin | Kwame Nkrumah University of Science and Technology (original) (raw)

Papers by Rebecca N Arhin

Research paper thumbnail of A Heuristic Approach to Locating a Landfill Site in the Sekondi- Takoradi Metropolis of Ghana

Mathematical theory and modeling, 2016

The rise in the urban population of developing countries in the past decade has brought the neces... more The rise in the urban population of developing countries in the past decade has brought the necessity to develop environmentally sustainable and efficient waste management systems. Sanitary landfill constitutes one of the primary methods of municipal solid waste disposal. Optimized siting has gained considerable importance in order to ensure minimum damage to the environment. Despite an increase in alternative techniques for disposing of waste, landfill site still remains the primary means of waste disposal. This study seeks to find the optimal location of a landfill site in the Sekondi-Takoradi metropolis. The problem was formulated as an Integer Programming model and the solution was presented through an ant colony based meta-heuristic for the Travelling Salesman Problem. The data on distances were taken from potential collection points and also Cartesian coordinates of the collection points were collected and used for each sub-metro. The optimal solutions were obtained with the aid of a MATLAB implementation codes. The Ant Colony results revealed that the best location for an additional landfill site is Apremedo with a route length of a 133.35miles.

Research paper thumbnail of Correlates of Early Initiation of Breastfeeding Among Mothers in Western Region: Insight from the 2014 Ghana Demographic and Health Survey

Background: According to the World Health Organization (WHO), initiation of breastfeeding (EIBF) ... more Background: According to the World Health Organization (WHO), initiation of breastfeeding (EIBF) within one hour of birth protects the newborn from acquiring infection and reduces newborn mortality. This notwithstanding there is anecdotal evidence that suggests that in some parts of Ghana, the practice of EIBF is affected by multiple factors which have not been well interrogated. Hence the study assessed the determinants of early initiation of breastfeeding in the Western Region (WR). Methods: The study explored the 2014 child file of the Ghana demographic and health survey (GDHS) data. The data was weighted and filtered by region (Western Region) and children 24 months or 0-23 months of age using the SPSS Version 20. A sample size of 257 children was obtained. Results were presented using frequencies, bivariate and binary logistic regression. Statistical significance was pegged at p<0.05 Results: The findings of this study indicate that maternal, paternal, household and communit...

Research paper thumbnail of The Coordinate Plane Resolution and Adjustment for Roots Determination

<em>This study is a geometric root determination method for quadratic equations which conta... more <em>This study is a geometric root determination method for quadratic equations which contain a theoretical proof of the quadratic formula and gives an illustrative evidence of Euclid's fifth postulate.</em><em>The core notion is that a quadratic function whose roots are to be found given as F(x), have a correspondent perfect square whose first two terms when conventionally made equal to that of </em><em>F(x) </em><em>will form a resultant function with a geometric property that each term as a component function, from the least to the greatest power of x, can reconstruct a frame for the formation of the next component function until the zeroes are achieved, then the function </em><em>F(x)</em><em> is manipulated likewise with each term on this geometric representation formed by the correspondent perfect square to give the roots.</em><em>This paper offers the privilege to work separately with the terms of a quadratic equation to locate the roots.</em>

Research paper thumbnail of Queuing Characteristics of the Dental Department at Essikado Hospital

Mathematical theory and modeling, 2017

In this paper, the queuing characteristics at the dental department of Essikado Hospital in the S... more In this paper, the queuing characteristics at the dental department of Essikado Hospital in the Sekondi-Takoradi Metropolis was analysed using a Single-server queuing Model. The data was collected over a period of one week, from 8:30am-11:30 am each day. By using the queuing rule First-come, First-served as practiced by the case study and M/M/s queuing model, the performance measures were calculated. The average/mean arrival and mean service times were found to be 1.6 patients/hour and 4.4477 patients/hour respectively. The average number of patients in the system and in the queue was 0.5619 patients and 0.2021 patients respectively. Also, the average time spent in the system and the average time it takes for service to start was 0.3512 hours and 0.1263 hours respectively. The paper recommends the need to obtain a central tray setup system for instruments required for the different dental procedures so as to reduce the time spent in sorting them up thereby reducing the amount of time spent in queue. It also respectfully submits a suggestion on the need to increase the number of dentist from one to two.

Research paper thumbnail of Modelling Queuing system in Healthcare centres. A case study of the dental department of the Essikado Hospital, Sekondi

Research paper thumbnail of A Heuristic Approach to Locating a Landfill Site in the Sekondi- Takoradi Metropolis of Ghana

Mathematical theory and modeling, 2016

The rise in the urban population of developing countries in the past decade has brought the neces... more The rise in the urban population of developing countries in the past decade has brought the necessity to develop environmentally sustainable and efficient waste management systems. Sanitary landfill constitutes one of the primary methods of municipal solid waste disposal. Optimized siting has gained considerable importance in order to ensure minimum damage to the environment. Despite an increase in alternative techniques for disposing of waste, landfill site still remains the primary means of waste disposal. This study seeks to find the optimal location of a landfill site in the Sekondi-Takoradi metropolis. The problem was formulated as an Integer Programming model and the solution was presented through an ant colony based meta-heuristic for the Travelling Salesman Problem. The data on distances were taken from potential collection points and also Cartesian coordinates of the collection points were collected and used for each sub-metro. The optimal solutions were obtained with the aid of a MATLAB implementation codes. The Ant Colony results revealed that the best location for an additional landfill site is Apremedo with a route length of a 133.35miles.

Research paper thumbnail of Correlates of Early Initiation of Breastfeeding Among Mothers in Western Region: Insight from the 2014 Ghana Demographic and Health Survey

Background: According to the World Health Organization (WHO), initiation of breastfeeding (EIBF) ... more Background: According to the World Health Organization (WHO), initiation of breastfeeding (EIBF) within one hour of birth protects the newborn from acquiring infection and reduces newborn mortality. This notwithstanding there is anecdotal evidence that suggests that in some parts of Ghana, the practice of EIBF is affected by multiple factors which have not been well interrogated. Hence the study assessed the determinants of early initiation of breastfeeding in the Western Region (WR). Methods: The study explored the 2014 child file of the Ghana demographic and health survey (GDHS) data. The data was weighted and filtered by region (Western Region) and children 24 months or 0-23 months of age using the SPSS Version 20. A sample size of 257 children was obtained. Results were presented using frequencies, bivariate and binary logistic regression. Statistical significance was pegged at p<0.05 Results: The findings of this study indicate that maternal, paternal, household and communit...

Research paper thumbnail of The Coordinate Plane Resolution and Adjustment for Roots Determination

<em>This study is a geometric root determination method for quadratic equations which conta... more <em>This study is a geometric root determination method for quadratic equations which contain a theoretical proof of the quadratic formula and gives an illustrative evidence of Euclid's fifth postulate.</em><em>The core notion is that a quadratic function whose roots are to be found given as F(x), have a correspondent perfect square whose first two terms when conventionally made equal to that of </em><em>F(x) </em><em>will form a resultant function with a geometric property that each term as a component function, from the least to the greatest power of x, can reconstruct a frame for the formation of the next component function until the zeroes are achieved, then the function </em><em>F(x)</em><em> is manipulated likewise with each term on this geometric representation formed by the correspondent perfect square to give the roots.</em><em>This paper offers the privilege to work separately with the terms of a quadratic equation to locate the roots.</em>

Research paper thumbnail of Queuing Characteristics of the Dental Department at Essikado Hospital

Mathematical theory and modeling, 2017

In this paper, the queuing characteristics at the dental department of Essikado Hospital in the S... more In this paper, the queuing characteristics at the dental department of Essikado Hospital in the Sekondi-Takoradi Metropolis was analysed using a Single-server queuing Model. The data was collected over a period of one week, from 8:30am-11:30 am each day. By using the queuing rule First-come, First-served as practiced by the case study and M/M/s queuing model, the performance measures were calculated. The average/mean arrival and mean service times were found to be 1.6 patients/hour and 4.4477 patients/hour respectively. The average number of patients in the system and in the queue was 0.5619 patients and 0.2021 patients respectively. Also, the average time spent in the system and the average time it takes for service to start was 0.3512 hours and 0.1263 hours respectively. The paper recommends the need to obtain a central tray setup system for instruments required for the different dental procedures so as to reduce the time spent in sorting them up thereby reducing the amount of time spent in queue. It also respectfully submits a suggestion on the need to increase the number of dentist from one to two.

Research paper thumbnail of Modelling Queuing system in Healthcare centres. A case study of the dental department of the Essikado Hospital, Sekondi