charles sebil - Academia.edu (original) (raw)

Papers by charles sebil

Decision Analytics Journal

Clinical Sociology Review, 1994

European Scientific Journal, Nov 30, 2013

In the current era, donors are more interested in value for their money and are now keener about ... more In the current era, donors are more interested in value for their money and are now keener about how their hard earned money is being used. As such Non-governmental organisations face crucial decisions as resources become scarcer. Based on these, more efficient use of resources becomes more important than ever before. This work therefore evaluates the performance of Educational Projects of four Area Development Programmes of World Vision Ghana using Data Envelopment Analysis Approach. The Data for the four Area Development Programmes (ADP) and their respective District Education Offices for the year 2010 were obtained. The two inputs that were recognised were number of staff and number of vehicles. We also identified two outputs as BECE pass rate and completion rate at JHS level. The results revealed that two Area Development Programmes (Zabzugu ADP and Gushegu ADP) were identified as efficient. Two Area Development Programmes (Saboba ADP and Nadowli ADP) were marked out as inefficient. To improve the performance of any inefficient Area Development Programme, one of the efficient ADP was set as a benchmark.

Infectious Disease Modelling, 2019

This is a PDF file of an article that has undergone enhancements after acceptance, such as the ad... more This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. © 2019 The Authors. Production and hosting by Elsevier B.V. on behalf of KeAi Communications Co., Ltd.

Journal of Science and Technology (Ghana), 2007

European Journal of Pure and Applied Mathematics, 2018

In this paper, the generalization of integral transform (GIT) of the func-tion G{f (t)} is introd... more In this paper, the generalization of integral transform (GIT) of the func-tion G{f (t)} is introduced for solving both differential and interodif-ferential equations. This transform generalizes the integral transformswhich use exponential functions as their kernels and the integral trans-form with polynomial function as a kernel. The generalized integraltransform converts the differential equation in us domain (the trans-formed variables) and reconvert the result by its inverse operator. Inparticular, if u = 1, then the generalized integral transform coincideswith the Laplace transform and this result can be written in anotherform as the polynomial integral transform.

International journal of business and social research, 2013

This research article presents a School Bus Routing Problem of Wood Bridge School Complex,Sekondi... more This research article presents a School Bus Routing Problem of Wood Bridge School Complex,Sekondi-Takoradi, Ghana. The problem was formulated as an Integer Programming Model and an Ant Colony Based Meta-heuristic for the Travelling Salesman Problem was used to solve the problem. Data on distances were collected and coded usingMatlab. Our proposed model revealed a tremendous improvement in the total route length by approximately 32%.

International Journal of Mathematics Trends and Technology, 2016

Solid waste collection is an important issue in vehicle routing problem especially in the develop... more Solid waste collection is an important issue in vehicle routing problem especially in the developing countries where most of the road network in the residential areas is very poor. A well planned path routing will go a long way to help waste management agencies to cut down cost of operations. This paper proposes a new vehicle routing path planning problem that assigns a tricycle to collect waste from individual household and dispose off into a skip bin within a defined cluster zone. The paper presents an Ant Colony optimisation algorithm that incorporates some new factors of selecting nodes such as weight, angle, saving and visibility to solve the vehicle routing path problem. The study is motivated by a real case in Ghana with the aim to optimize the collection of solid waste. The implementation of our improved algorithm gave about 18% reduction in distance travel compared with the traditional Ant Colony algorithm for vehicle routing path planning method.

International journal of business and social research, 2013

Sekondi-Takoradi Metropolis, the Western Regional capital of Ghana, faces severe vehicular traffi... more Sekondi-Takoradi Metropolis, the Western Regional capital of Ghana, faces severe vehicular traffic congestion due to the influx of people into the Metropolis because of the recent discovery of crude oil in some environs of the Region. This has resulted in rapid and uncontrolled development by an unacceptable level of disparity in transportation demand and supply scenario. This research paper presents the traffic volume count, survey of road geometry and calculation of flow capacity. Secondary data was collected from the Department of Urban Roads Sekondi-Takoradi. The study revealed that Kwesimetim to Ajep link, the core link of the city was found as the busiest link, whereas, the Kwame Nkrumah circle was found to be the most congested zone depicting a maximum average traffic volume at a rate of 3138 Veh/h and 3985 Veh/h for the AM and PM peak periods respectively. Two vehicular traffic congestion peaks at 6:00AM to 9:00AM and 4:00PM to 7:00PM were identified in the study. A traffic ...

European Journal of Pure and Applied Mathematics, 2019

In this paper, xyzw model is introduced which characterizes the solid waste generated by the four... more In this paper, xyzw model is introduced which characterizes the solid waste generated by the four departments in the university. Thus, the refuse on the street x, in the gutters y, in the dustbins z and dumpsite w. From the qualitative analysis of xyzw model, it revealed that the refuse in these departments piles up as the time increases indefinitely. Based on the analysis of data from the KNUST campus the refuse keeps on piling up. This reveals that the trucks are not able to adequately carry refuse from three departments: street, gutters and dustbins to the dumpsite as expected by the university authority. This comes as a result of overflows from the dustbins at some vantage points in the university. In practice, the waste in gutters and on street are collected and deposit it in these dustbins (with varying volumes) everyday, but the trucks are not able to convey all the quantum of waste in these dustbins to the dumpsite thereby resulting in refuse pile up on campus of the university

European Scientific Journal, Nov 30, 2013

In this age of knowledge economy, Non-governmental organisations play an important role in the de... more In this age of knowledge economy, Non-governmental organisations play an important role in the development of a country. As donors expert judicious and effective use of their monies, non-governmental organisations are obviously obliged to put to efficient use of their resources. This study evaluates the relative efficiencies of educational efficiency of the area development programmes of World Vision Ghana-Northern sector in the year 2009. Design/methodology/approach: This study applies Data Envelopment Analysis (DEA) to assess the relative efficiency of the educational area development programmes. The inputs were number of staff and number of vehicles, while the outputs were BECE pass rate and completion rate at JHS level. The potential improvements were computed for inefficient ADP. Findings: Results show that the average efficiency score was 91.6% and that there were three (3) efficient ADPs (Zabzugu ADP, Soboba ADP and Nadowli ADP) out of the four (4) studied. It was noted that Gushegu ADP would have to reduce its number of staff and number of vehicles to 5 and 2 respectively in order to become efficient.

British Journal of Mathematics & Computer Science, 2016

Most countries have high unemployment levels of which Ghana is not an exception (www.ask.com). Mo... more Most countries have high unemployment levels of which Ghana is not an exception (www.ask.com). Most of these unemployed people, especially women engage themselves in wholesale and retail trading of fruits and vegetables. In Ghana, locally produced fruits are of high demand (www.myjoyonline.com/bussiness/2014/january-3rd), but its non-availability results in people patronizing imported fruits. Watermelon business in Bantama market, Kumasi-Ghana, was chosen as a case study. The study focused on an entrepreneur handling the purchasing and transportation of the fruits from source to the market instead of wholesalers. A mathematical model was used to estimate the number of vehicles needed to serve the requests of the wholesalers thereby minimizing cost of transportation with no option of non-availability in the market. In

European Scientific Journal, Jul 30, 2013

The purpose of this paper was to utilize data envelopment analysis (DEA) to measure academic effi... more The purpose of this paper was to utilize data envelopment analysis (DEA) to measure academic efficiency of the four campuses of the University for Development Studies (UDS) Ghana. DEA has been recognized as a robust tool that is used for evaluating the performance of profit and non-profit institutions. The proposed approach was deployed based on empirical data collected from the four campuses. On an efficiency scale of 0-1.0, DEA analysis assesses the relative efficiency of every campus relative to the rest of the campuses in terms of academic performance. For inefficient campuses, DEA analysis provides quantitative guidance on how to make them efficient. The 2010/11 academic year data from the four campuses of UDS were used. Four input variables and five output variables were identified. The input variables were lecture to student ratio, cost per student, library facilities and academic staff to non-academic staff ratio. Output variables were estimated as: classes obtained (that is first class, second class upper, second class lower, third class and pass). Three campuses (Tamale, Nyankpala and Wa) formed the efficiency frontier and the fourth campus (Navrongo) was found inefficient for the academic year. There was an indication that reduction in academic staff to non-academic staff ratio as input has a larger effect on efficiency of Navrongo campus than does in input cost per student ratio. For Navrongo campus to be on the efficiency frontier, it is better for cost per student ratio as input to be reduced more than the library facilities.

American Journal of Social and Management Sciences, 2010

The performance or efficiency of every production unit is of paramount importance to management o... more The performance or efficiency of every production unit is of paramount importance to management of the units. In management Science, there are two main methods used to measure performance. These are Parametric and non-parametric methods. Data Envelopment Analysis (DEA) is a non-parametric method used in evaluating the relative performance of productions units that use the similar input factors to produce similar outputs. This paper seeks to use DEA to evaluate the relative performance of Ghanaian general insurance companies from the year 2002 to 2007. The study uses Debt capital, Equity capital and Management expenses as inputs that are used by insurers to produce premium, claims and investment income. It was observed that Ghanaian general insurers operated at an average overall efficiency of 68%, technical efficiency of 87% and scale efficiency of 78%. The study also tests hypotheses relating to the roles played by dimension and market share in the efficiency of the Ghanaian general insurance companies. It was observed that Ghanaian general insurers with higher dimension and market shares tend to have higher efficiencies; implying that general insurers could increase their efficiencies by trying to increase among other things thier dimension and market shares.

European Journal of Pure and Applied Mathematics, 2019

This paper contributes to the inequalities, specifically, the relationships among thenorm of prod... more This paper contributes to the inequalities, specifically, the relationships among thenorm of products of elements or vectors or functions and their quotients. Thus, we established that the norm of product of two vectors or functions is less than or equal to the norm of its quotient if the norm of the denominator is less than or equal to one. On the other hand, the norm of the quotient of two vectors or functions is less than or equal to the norm of their product is proved. In addition, we introduce the proofs of inequalities including the norm of index power of products and their quotients, and then applied these inequalities to estabish properties of some functional spaces, as well as, extend some of the results in these functional spaces.

European Journal of Pure and Applied Mathematics, 2018

In this paper, we introduce the proofs of product inequalities:u v ≤ u + v , for all u, v ∈ [0, 2... more In this paper, we introduce the proofs of product inequalities:u v ≤ u + v , for all u, v ∈ [0, 2], and u + v ≤ u v , for allu, v ∈ [2, ∞). The first product inequality u v ≤ u + v holds forany two vectors in the interval [0, 1] in Holder’s space and also valid anytwo vectors in the interval [1, 2] in the Euclidean space. On the otherhand, the second product inequality u + v ≤ u v ∀u, v ∈ [2, ∞)only in Euclidean space. By applying the first product inequality to theL p spaces, we observed that if f : Ω → [0, 1], and g : Ω → R, thenf p g p ≤ f p + g p . Also, if f, g : Ω → R, then f p + g p ≤f p g p .

American Journal of Operations Research

The collection of solid waste from third class communities in most developing countries is by ski... more The collection of solid waste from third class communities in most developing countries is by skip containers, however, the location of these facilities has been done arbitrary without any mathematical considerations as to the number of customers the facility is serving, the distance one has to travel to access it and thereby making some of these residences to dump their refuse in gutters, streams and even burn them. In this paper we proposed an improved probabilistic distance, capacity clustering location model which takes into consideration the weight of solid waste from a customer and the capacity of the skip container to locate the skip container to serve a required number of customers based on the capacity constraint of the container. The model was applied on a real world situation and compared with the existing practice in terms of average distance customers had to travel to access the facility. Our results gave a well shorter average travel distance by customers, gave a number of skip containers needed in an area based on their waste generation per capita.

Decision Analytics Journal

Clinical Sociology Review, 1994

European Scientific Journal, Nov 30, 2013

In the current era, donors are more interested in value for their money and are now keener about ... more In the current era, donors are more interested in value for their money and are now keener about how their hard earned money is being used. As such Non-governmental organisations face crucial decisions as resources become scarcer. Based on these, more efficient use of resources becomes more important than ever before. This work therefore evaluates the performance of Educational Projects of four Area Development Programmes of World Vision Ghana using Data Envelopment Analysis Approach. The Data for the four Area Development Programmes (ADP) and their respective District Education Offices for the year 2010 were obtained. The two inputs that were recognised were number of staff and number of vehicles. We also identified two outputs as BECE pass rate and completion rate at JHS level. The results revealed that two Area Development Programmes (Zabzugu ADP and Gushegu ADP) were identified as efficient. Two Area Development Programmes (Saboba ADP and Nadowli ADP) were marked out as inefficient. To improve the performance of any inefficient Area Development Programme, one of the efficient ADP was set as a benchmark.

Infectious Disease Modelling, 2019

This is a PDF file of an article that has undergone enhancements after acceptance, such as the ad... more This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. © 2019 The Authors. Production and hosting by Elsevier B.V. on behalf of KeAi Communications Co., Ltd.

Journal of Science and Technology (Ghana), 2007

European Journal of Pure and Applied Mathematics, 2018

In this paper, the generalization of integral transform (GIT) of the func-tion G{f (t)} is introd... more In this paper, the generalization of integral transform (GIT) of the func-tion G{f (t)} is introduced for solving both differential and interodif-ferential equations. This transform generalizes the integral transformswhich use exponential functions as their kernels and the integral trans-form with polynomial function as a kernel. The generalized integraltransform converts the differential equation in us domain (the trans-formed variables) and reconvert the result by its inverse operator. Inparticular, if u = 1, then the generalized integral transform coincideswith the Laplace transform and this result can be written in anotherform as the polynomial integral transform.

International journal of business and social research, 2013

This research article presents a School Bus Routing Problem of Wood Bridge School Complex,Sekondi... more This research article presents a School Bus Routing Problem of Wood Bridge School Complex,Sekondi-Takoradi, Ghana. The problem was formulated as an Integer Programming Model and an Ant Colony Based Meta-heuristic for the Travelling Salesman Problem was used to solve the problem. Data on distances were collected and coded usingMatlab. Our proposed model revealed a tremendous improvement in the total route length by approximately 32%.

International Journal of Mathematics Trends and Technology, 2016

Solid waste collection is an important issue in vehicle routing problem especially in the develop... more Solid waste collection is an important issue in vehicle routing problem especially in the developing countries where most of the road network in the residential areas is very poor. A well planned path routing will go a long way to help waste management agencies to cut down cost of operations. This paper proposes a new vehicle routing path planning problem that assigns a tricycle to collect waste from individual household and dispose off into a skip bin within a defined cluster zone. The paper presents an Ant Colony optimisation algorithm that incorporates some new factors of selecting nodes such as weight, angle, saving and visibility to solve the vehicle routing path problem. The study is motivated by a real case in Ghana with the aim to optimize the collection of solid waste. The implementation of our improved algorithm gave about 18% reduction in distance travel compared with the traditional Ant Colony algorithm for vehicle routing path planning method.

International journal of business and social research, 2013

Sekondi-Takoradi Metropolis, the Western Regional capital of Ghana, faces severe vehicular traffi... more Sekondi-Takoradi Metropolis, the Western Regional capital of Ghana, faces severe vehicular traffic congestion due to the influx of people into the Metropolis because of the recent discovery of crude oil in some environs of the Region. This has resulted in rapid and uncontrolled development by an unacceptable level of disparity in transportation demand and supply scenario. This research paper presents the traffic volume count, survey of road geometry and calculation of flow capacity. Secondary data was collected from the Department of Urban Roads Sekondi-Takoradi. The study revealed that Kwesimetim to Ajep link, the core link of the city was found as the busiest link, whereas, the Kwame Nkrumah circle was found to be the most congested zone depicting a maximum average traffic volume at a rate of 3138 Veh/h and 3985 Veh/h for the AM and PM peak periods respectively. Two vehicular traffic congestion peaks at 6:00AM to 9:00AM and 4:00PM to 7:00PM were identified in the study. A traffic ...

European Journal of Pure and Applied Mathematics, 2019

In this paper, xyzw model is introduced which characterizes the solid waste generated by the four... more In this paper, xyzw model is introduced which characterizes the solid waste generated by the four departments in the university. Thus, the refuse on the street x, in the gutters y, in the dustbins z and dumpsite w. From the qualitative analysis of xyzw model, it revealed that the refuse in these departments piles up as the time increases indefinitely. Based on the analysis of data from the KNUST campus the refuse keeps on piling up. This reveals that the trucks are not able to adequately carry refuse from three departments: street, gutters and dustbins to the dumpsite as expected by the university authority. This comes as a result of overflows from the dustbins at some vantage points in the university. In practice, the waste in gutters and on street are collected and deposit it in these dustbins (with varying volumes) everyday, but the trucks are not able to convey all the quantum of waste in these dustbins to the dumpsite thereby resulting in refuse pile up on campus of the university

European Scientific Journal, Nov 30, 2013

In this age of knowledge economy, Non-governmental organisations play an important role in the de... more In this age of knowledge economy, Non-governmental organisations play an important role in the development of a country. As donors expert judicious and effective use of their monies, non-governmental organisations are obviously obliged to put to efficient use of their resources. This study evaluates the relative efficiencies of educational efficiency of the area development programmes of World Vision Ghana-Northern sector in the year 2009. Design/methodology/approach: This study applies Data Envelopment Analysis (DEA) to assess the relative efficiency of the educational area development programmes. The inputs were number of staff and number of vehicles, while the outputs were BECE pass rate and completion rate at JHS level. The potential improvements were computed for inefficient ADP. Findings: Results show that the average efficiency score was 91.6% and that there were three (3) efficient ADPs (Zabzugu ADP, Soboba ADP and Nadowli ADP) out of the four (4) studied. It was noted that Gushegu ADP would have to reduce its number of staff and number of vehicles to 5 and 2 respectively in order to become efficient.

British Journal of Mathematics & Computer Science, 2016

Most countries have high unemployment levels of which Ghana is not an exception (www.ask.com). Mo... more Most countries have high unemployment levels of which Ghana is not an exception (www.ask.com). Most of these unemployed people, especially women engage themselves in wholesale and retail trading of fruits and vegetables. In Ghana, locally produced fruits are of high demand (www.myjoyonline.com/bussiness/2014/january-3rd), but its non-availability results in people patronizing imported fruits. Watermelon business in Bantama market, Kumasi-Ghana, was chosen as a case study. The study focused on an entrepreneur handling the purchasing and transportation of the fruits from source to the market instead of wholesalers. A mathematical model was used to estimate the number of vehicles needed to serve the requests of the wholesalers thereby minimizing cost of transportation with no option of non-availability in the market. In

European Scientific Journal, Jul 30, 2013

The purpose of this paper was to utilize data envelopment analysis (DEA) to measure academic effi... more The purpose of this paper was to utilize data envelopment analysis (DEA) to measure academic efficiency of the four campuses of the University for Development Studies (UDS) Ghana. DEA has been recognized as a robust tool that is used for evaluating the performance of profit and non-profit institutions. The proposed approach was deployed based on empirical data collected from the four campuses. On an efficiency scale of 0-1.0, DEA analysis assesses the relative efficiency of every campus relative to the rest of the campuses in terms of academic performance. For inefficient campuses, DEA analysis provides quantitative guidance on how to make them efficient. The 2010/11 academic year data from the four campuses of UDS were used. Four input variables and five output variables were identified. The input variables were lecture to student ratio, cost per student, library facilities and academic staff to non-academic staff ratio. Output variables were estimated as: classes obtained (that is first class, second class upper, second class lower, third class and pass). Three campuses (Tamale, Nyankpala and Wa) formed the efficiency frontier and the fourth campus (Navrongo) was found inefficient for the academic year. There was an indication that reduction in academic staff to non-academic staff ratio as input has a larger effect on efficiency of Navrongo campus than does in input cost per student ratio. For Navrongo campus to be on the efficiency frontier, it is better for cost per student ratio as input to be reduced more than the library facilities.

American Journal of Social and Management Sciences, 2010

The performance or efficiency of every production unit is of paramount importance to management o... more The performance or efficiency of every production unit is of paramount importance to management of the units. In management Science, there are two main methods used to measure performance. These are Parametric and non-parametric methods. Data Envelopment Analysis (DEA) is a non-parametric method used in evaluating the relative performance of productions units that use the similar input factors to produce similar outputs. This paper seeks to use DEA to evaluate the relative performance of Ghanaian general insurance companies from the year 2002 to 2007. The study uses Debt capital, Equity capital and Management expenses as inputs that are used by insurers to produce premium, claims and investment income. It was observed that Ghanaian general insurers operated at an average overall efficiency of 68%, technical efficiency of 87% and scale efficiency of 78%. The study also tests hypotheses relating to the roles played by dimension and market share in the efficiency of the Ghanaian general insurance companies. It was observed that Ghanaian general insurers with higher dimension and market shares tend to have higher efficiencies; implying that general insurers could increase their efficiencies by trying to increase among other things thier dimension and market shares.

European Journal of Pure and Applied Mathematics, 2019

This paper contributes to the inequalities, specifically, the relationships among thenorm of prod... more This paper contributes to the inequalities, specifically, the relationships among thenorm of products of elements or vectors or functions and their quotients. Thus, we established that the norm of product of two vectors or functions is less than or equal to the norm of its quotient if the norm of the denominator is less than or equal to one. On the other hand, the norm of the quotient of two vectors or functions is less than or equal to the norm of their product is proved. In addition, we introduce the proofs of inequalities including the norm of index power of products and their quotients, and then applied these inequalities to estabish properties of some functional spaces, as well as, extend some of the results in these functional spaces.

European Journal of Pure and Applied Mathematics, 2018

In this paper, we introduce the proofs of product inequalities:u v ≤ u + v , for all u, v ∈ [0, 2... more In this paper, we introduce the proofs of product inequalities:u v ≤ u + v , for all u, v ∈ [0, 2], and u + v ≤ u v , for allu, v ∈ [2, ∞). The first product inequality u v ≤ u + v holds forany two vectors in the interval [0, 1] in Holder’s space and also valid anytwo vectors in the interval [1, 2] in the Euclidean space. On the otherhand, the second product inequality u + v ≤ u v ∀u, v ∈ [2, ∞)only in Euclidean space. By applying the first product inequality to theL p spaces, we observed that if f : Ω → [0, 1], and g : Ω → R, thenf p g p ≤ f p + g p . Also, if f, g : Ω → R, then f p + g p ≤f p g p .

American Journal of Operations Research

The collection of solid waste from third class communities in most developing countries is by ski... more The collection of solid waste from third class communities in most developing countries is by skip containers, however, the location of these facilities has been done arbitrary without any mathematical considerations as to the number of customers the facility is serving, the distance one has to travel to access it and thereby making some of these residences to dump their refuse in gutters, streams and even burn them. In this paper we proposed an improved probabilistic distance, capacity clustering location model which takes into consideration the weight of solid waste from a customer and the capacity of the skip container to locate the skip container to serve a required number of customers based on the capacity constraint of the container. The model was applied on a real world situation and compared with the existing practice in terms of average distance customers had to travel to access the facility. Our results gave a well shorter average travel distance by customers, gave a number of skip containers needed in an area based on their waste generation per capita.