Prof. Dr. Zuhaimy Ismail - Academia.edu (original) (raw)

Papers by Prof. Dr. Zuhaimy Ismail

Research paper thumbnail of Downside deviation quadratic programming for stock portfolio optimisation: an empirical study of Shariah and conventional indices in Indonesia

Afro-Asian J. of Finance and Accounting

Research paper thumbnail of Mathematical modeling technique for diet planning problem: eczema patient

International Journal of Multidisciplinary Research and Development, 2017

This paper illustrates the application of linear programming and integer programming to build the... more This paper illustrates the application of linear programming and integer programming to build the model of diet planning for eczema patient. It particularly studied the diet problem of designing diet plan of an adult who is in the age of early twenties. The diet problem specifics its constraints and objective functions. The planning adequate menus involves consideration of several types of constraints such as the desired nutritional content, the amount of food to be consumed and food allergens with the minimum expenditure. The mathematical models were developed which meet all the requirements and restrictions. This paper shows that the linear and integer programming approach which produce an optimal and feasible solution in order to solve the diet problem for eczema patients.

Research paper thumbnail of Modification of Box-Jenkins methodology by injecting genetic algorithm technique

The Box-Jenkins(BJ) methodology has four stages in modeling forecast time series data. The stages... more The Box-Jenkins(BJ) methodology has four stages in modeling forecast time series data. The stages are model identification, model estimation, model validation and model forecast. The difficulties in modeling BJ is determining the right order in model identification and identifying the right parameter in model estimation. This study, genetic algorithm (GA) is proposed to solve the problem of model identification and model estimation. International tourist arrival to Malaysia is used as a case study to illustrate the effectiveness of this proposed model. The forecast result generated from this proposed model outperform single BJ model

Research paper thumbnail of Double Seasonal ARIMA Model for Forecasting Load Demand

Mathematika, 2010

This study investigates the use of a double seasonal ARIMA model for forecasting load demand. For... more This study investigates the use of a double seasonal ARIMA model for forecasting load demand. For the purpose of this study, a one-year half hourly Malaysia load demand from 1 September 2005 to 31 August 2006 measured in Megawatt (MW) is used. The mean absolute percentage error (MAPE) is used as the measure of forecasting accuracy. We use Statistical Analysis System, SAS package to analyze the data. Using the least squares method to estimate the coefficients in a double SARIMA model, followed by model validation and model selection criteria, we propose ARIMA(0; 1; 1)(0; 1; 1)48(0; 1; 1)336 with in-sample MAPE of 0.9906% as the best model for this study. Comparing the forecasting performances by using k-step ahead forecasts and one-step ahead forecasts, we found that the MAPE for the one-step ahead out-sample forecasts from any horizon ranging from one week lead time to one month lead time are all less than 1%. We thus propose that a double seasonal ARIMA model with one-step ahead fo...

Research paper thumbnail of Quadratic Programming for Optimizing the Diversified Shariah Stock Portfolio

Proceedings of the 2nd International Seminar on Science and Technology (ISSTEC 2019), 2020

Risk is a challenging module in evaluating stock investment prospects that are often taken into a... more Risk is a challenging module in evaluating stock investment prospects that are often taken into account by investors. This paper presents the method of Quadratic Programming to optimize the risk of Shariah stock portfolio. The dataset deals with the weekly close price of all active issuers listed in FTSE Bursa Malaysia Hijrah Shariah Index from January 2016 to December 2018. In general, there are two issues that are highlighted: portfolio selection and portfolio optimization. Portfolio selection is carried out in several phases, namely grouping the issuers into two portfolios by considering the technical and fundamental aspects, nominating feasibility of each portfolio using a Constant Correlation Model, and finally selecting the most diversified Shariah stock portfolio. Furthermore, the selected portfolio risk optimization is formulated by Quadratic Programming. The results of this study show that the optimum portfolio is the portfolio B which includes 42.73% of BTKW, 8.1% of GENP,...

Research paper thumbnail of A new binary programming and mathematical approach for serving healthy and palatable menu

Journal of Engineering and Applied Sciences, 2017

School children need to eat a well balance nutritious food that provides enough nutrients for dev... more School children need to eat a well balance nutritious food that provides enough nutrients for development preservation and restoration of the human body. Moreover, with proper nutrient it can prevent any undesirable dseases and infections. Recently, medical discovery shows that by consuming well balanced nutritious food it can help to prevent and diminish the risks of cancer and heart failure. Dietitiam, nutritionist and menu planners confronted with incredible tasks and complications in order to expand human wellbeing. Serving healthier meals is a major step towards achieving one of the objectives for this study but assembling a well balance and nutritious menu by hand is complex, ineffective and takes time. Therefore, the objective of this study is to develop a mathematical method for menu scheduling that satisfy the entire nutrient requirement for school chldren, reducing the processing time of optimal solution, minimize cost and also serve variety type of food eveIy day. The data was obtained from the Minishy of Health Malaysian and also school authorities. Bmaq Programming along with optimization method was used to solve this problem. In future, this model can be implemented to other menu problems such as for spods, chronic illness patients, militaries, universities, hospitals and nursing homes

Research paper thumbnail of A new diet scheduling model for Malaysian school children using zero-one optimization approach

Global Journal of Pure and Applied Sciences, 2016

Humans need to eat a good and balanced nutritious diet that provides calories for energy requirem... more Humans need to eat a good and balanced nutritious diet that provides calories for energy requirements and nutrients for proper growth, repair and maintenance of the body tissues. Moreover, it is essential for resisting and preventing diseases and infection that may lead to problems such as anemia, scurvy and rickets. In recent studies, medical researchers have discovered that good nutrition can help to reduce the risks of coronary heart disease and certain types of cancer. Menu and diet planners face tremendous challenges and difficulties in order to improve human health. Serving healthier meals is a major step towards achieving that objective. However, constructing and planning a nutritious and balanced menu manually is complicated, inefficient and time-consuming. The aim of this study is to develop a mathematical model for diet planning that meets the necessary nutrient intake for the secondary school student as well as minimizing a budget. The data were collected from various boa...

Research paper thumbnail of Optimum Risk-Adjusted Islamic Stock Portfolio Using the Quadratic Programming Model: An Empirical Study in Indonesia

Journal of Asian Finance, Economics and Business, 2021

Research paper thumbnail of Aspects of computerised timetabling

This research considers the problem of constructing high school timetables using a computer. In t... more This research considers the problem of constructing high school timetables using a computer. In the majority of high schools, termly or yearly timetables are still being produced manually. Constructing a timetable is a hard and time consuming task which is carried out repeatedly thus a computer program for assisting with this problem would be of great value. This study is in three parts. First. an overall analysis of the problem is undertaken to provide background knowledge and to identify basic principles in the construction of a school timetable. The characteristics of timetabling problems are identified and the necessary data for the construction of a timetable is identified. The first part ends with the production of a heuristic model for generating an initial solution that satisfies all the hard constraints embodied in the curriculum requirements. The second stage of the research is devoted to designing a heuristic model for solving a timetable problem with hard and medium cons...

Research paper thumbnail of A comparison of two alternative procedures for the classical scenario of probability proportional to size

Far East Journal of Mathematical Sciences, 2017

There are many alternative estimation procedures for the classical scenario of probability propor... more There are many alternative estimation procedures for the classical scenario of probability proportional to size given by Horvitz-Thompson. In this paper, two well-known alternative procedures are considered namely the ratio and linear regression estimators for estimating the population total of the variable of interest in the unequal probability sampling designs. Both procedures used auxiliary information from a suitable variable that is known for all units in the population. This study establishes the primary differences between the two alternative methods for estimating the population total and how the data of auxiliary variable is used in the estimation stage. The two estimators are compared theoretically and empirically by calculating the population total estimate, variances and relative efficiency between the estimators. The results show that under simple random sampling design with moderate positive correlation, the small and medium sample sizes lead to linear regression estim...

Research paper thumbnail of Forecasting Sales Demand of New Proton Car Using Bass Diffusion Model

Far East Journal of Mathematical Sciences (FJMS), 2018

Research paper thumbnail of Implication of Uncertainty and Sensitivity Analysis of Ebola Virus Disease Transmission

Indian Journal of Public Health Research & Development, 2019

Ebola epidemic model threshold value indicates whether the disease will continue to spread in a p... more Ebola epidemic model threshold value indicates whether the disease will continue to spread in a population or not. However, the accurate value of this threshold is influenced by uncertainty in its parameters’ values which are marred by parameter estimation errors due to procedure, errors in data collection and underlying model assumptions. Understanding the implication of changes in parameters values is necessary in order to guide outbreak control decision. Next generation matrix approach was used to determine the basic reproduction number of SVEQHIFR Ebola epidemic model. In assessing the influence, direction, and strength of relationship parameters to Ebola basic reproduction number, 1000 simulations run for LHS/PRCC procedure was used. Positive or negative sensitivity indices of the threshold value to parameter changes indicate that control measure should be intensified in reversing or enhancing these indices. This information can gauge implementation of interventions strategies in the attempt to decelerate Ebola disease transmission

Research paper thumbnail of Social Integration as Catalyst for People's Prosperity

International Journal of Engineering & Technology, 2018

In a nation-state, the aspect of unity among the people is important. Unity can define the politi... more In a nation-state, the aspect of unity among the people is important. Unity can define the political, economic and social stability. As a multi-racial country, Malaysia is a unique and special nation. Malaysia is regarded as an ideal country, a peaceful and happy country inhabited by various races and religions by other countries in the world. Due to its multi-racial status, it can’t be denied that Malaysia faces some problems in sustaining the harmonious people. Various policies were formulated by the Federal Government and the State Government to address racial issues in Malaysia. In this regard, the article seeks to identify the level of social integration of the community in Johor. The findings show that the state of Johorian integrity is at a good level that is projected to an excellent level. In addition, the findings show that some elements need to be emphasized in empowering social integration in the state of Johor to avoid inter-racial tensions, especially in relation to th...

Research paper thumbnail of Stability and Sensitivity Analysis of SSQVEQIHFR Epidemic Model

Indian Journal of Science and Technology, 2019

Research paper thumbnail of Electricity Load Demand Forecast using Fast Ensemble-Decomposed Model

Journal of Science and Technology, 2018

Research paper thumbnail of A Hybrid GA-FEEMD for Forecasting Crude Oil Prices

Indian Journal of Science and Technology, 2017

Research paper thumbnail of Optimal Method for Investing on Assets Using Black Litterman Model

Far East Journal of Mathematical Sciences (FJMS), 2017

Research paper thumbnail of EMD-DR models for forecasting electricity load demand

Contemporary Engineering Sciences, 2016

Research paper thumbnail of Implementation of Fuzzy Time Series in Forecasting of the Non-Stationary Data

International Journal of Computational Intelligence and Applications, 2016

To forecast the non-stationary data is quite difficult when compared with the stationary data tim... more To forecast the non-stationary data is quite difficult when compared with the stationary data time series. Because their variances are not constant and not stable like the second data type. This paper presents the implementation of fuzzy time series (FTS) into the non-stationary time series data forecasting, such as, the electricity load demand, the exchange rates, the enrollment university and others. These data forecasts are derived by implementing of the weightage and linguistic out-sample methods. The result shows that the FTS can be applied in improving the accuracy and efficiency of these non-stationary data forecasting opportunities.

Research paper thumbnail of An Improved Parameter Estimation of Bass Model for Forecasting New Car Demand

A new product forecasting model for new Proton car is developed and tested empirically against th... more A new product forecasting model for new Proton car is developed and tested empirically against the data gathered from the first twelve months of launching. The basic assumption to this model is the innovators who make decision to purchase the new car based on the information obtained from the mass media and the imitators are those who make decision to buy based on the existing social system through the personal selling and advertising. Forecasting new product or service is a critical process in marketing strategies and product performance for an organisation. This proposed Bass diffusion model represent the level of spread on the new car among a given set of the society in terms of a simple mathematical function that elapsed since the introduction of the new product. We highlight the selection of analogy product and selection of parameter estimation method. Results obtained by applying the proposed model and numerical calculation shows that the proposed model is robust and effective...

Research paper thumbnail of Downside deviation quadratic programming for stock portfolio optimisation: an empirical study of Shariah and conventional indices in Indonesia

Afro-Asian J. of Finance and Accounting

Research paper thumbnail of Mathematical modeling technique for diet planning problem: eczema patient

International Journal of Multidisciplinary Research and Development, 2017

This paper illustrates the application of linear programming and integer programming to build the... more This paper illustrates the application of linear programming and integer programming to build the model of diet planning for eczema patient. It particularly studied the diet problem of designing diet plan of an adult who is in the age of early twenties. The diet problem specifics its constraints and objective functions. The planning adequate menus involves consideration of several types of constraints such as the desired nutritional content, the amount of food to be consumed and food allergens with the minimum expenditure. The mathematical models were developed which meet all the requirements and restrictions. This paper shows that the linear and integer programming approach which produce an optimal and feasible solution in order to solve the diet problem for eczema patients.

Research paper thumbnail of Modification of Box-Jenkins methodology by injecting genetic algorithm technique

The Box-Jenkins(BJ) methodology has four stages in modeling forecast time series data. The stages... more The Box-Jenkins(BJ) methodology has four stages in modeling forecast time series data. The stages are model identification, model estimation, model validation and model forecast. The difficulties in modeling BJ is determining the right order in model identification and identifying the right parameter in model estimation. This study, genetic algorithm (GA) is proposed to solve the problem of model identification and model estimation. International tourist arrival to Malaysia is used as a case study to illustrate the effectiveness of this proposed model. The forecast result generated from this proposed model outperform single BJ model

Research paper thumbnail of Double Seasonal ARIMA Model for Forecasting Load Demand

Mathematika, 2010

This study investigates the use of a double seasonal ARIMA model for forecasting load demand. For... more This study investigates the use of a double seasonal ARIMA model for forecasting load demand. For the purpose of this study, a one-year half hourly Malaysia load demand from 1 September 2005 to 31 August 2006 measured in Megawatt (MW) is used. The mean absolute percentage error (MAPE) is used as the measure of forecasting accuracy. We use Statistical Analysis System, SAS package to analyze the data. Using the least squares method to estimate the coefficients in a double SARIMA model, followed by model validation and model selection criteria, we propose ARIMA(0; 1; 1)(0; 1; 1)48(0; 1; 1)336 with in-sample MAPE of 0.9906% as the best model for this study. Comparing the forecasting performances by using k-step ahead forecasts and one-step ahead forecasts, we found that the MAPE for the one-step ahead out-sample forecasts from any horizon ranging from one week lead time to one month lead time are all less than 1%. We thus propose that a double seasonal ARIMA model with one-step ahead fo...

Research paper thumbnail of Quadratic Programming for Optimizing the Diversified Shariah Stock Portfolio

Proceedings of the 2nd International Seminar on Science and Technology (ISSTEC 2019), 2020

Risk is a challenging module in evaluating stock investment prospects that are often taken into a... more Risk is a challenging module in evaluating stock investment prospects that are often taken into account by investors. This paper presents the method of Quadratic Programming to optimize the risk of Shariah stock portfolio. The dataset deals with the weekly close price of all active issuers listed in FTSE Bursa Malaysia Hijrah Shariah Index from January 2016 to December 2018. In general, there are two issues that are highlighted: portfolio selection and portfolio optimization. Portfolio selection is carried out in several phases, namely grouping the issuers into two portfolios by considering the technical and fundamental aspects, nominating feasibility of each portfolio using a Constant Correlation Model, and finally selecting the most diversified Shariah stock portfolio. Furthermore, the selected portfolio risk optimization is formulated by Quadratic Programming. The results of this study show that the optimum portfolio is the portfolio B which includes 42.73% of BTKW, 8.1% of GENP,...

Research paper thumbnail of A new binary programming and mathematical approach for serving healthy and palatable menu

Journal of Engineering and Applied Sciences, 2017

School children need to eat a well balance nutritious food that provides enough nutrients for dev... more School children need to eat a well balance nutritious food that provides enough nutrients for development preservation and restoration of the human body. Moreover, with proper nutrient it can prevent any undesirable dseases and infections. Recently, medical discovery shows that by consuming well balanced nutritious food it can help to prevent and diminish the risks of cancer and heart failure. Dietitiam, nutritionist and menu planners confronted with incredible tasks and complications in order to expand human wellbeing. Serving healthier meals is a major step towards achieving one of the objectives for this study but assembling a well balance and nutritious menu by hand is complex, ineffective and takes time. Therefore, the objective of this study is to develop a mathematical method for menu scheduling that satisfy the entire nutrient requirement for school chldren, reducing the processing time of optimal solution, minimize cost and also serve variety type of food eveIy day. The data was obtained from the Minishy of Health Malaysian and also school authorities. Bmaq Programming along with optimization method was used to solve this problem. In future, this model can be implemented to other menu problems such as for spods, chronic illness patients, militaries, universities, hospitals and nursing homes

Research paper thumbnail of A new diet scheduling model for Malaysian school children using zero-one optimization approach

Global Journal of Pure and Applied Sciences, 2016

Humans need to eat a good and balanced nutritious diet that provides calories for energy requirem... more Humans need to eat a good and balanced nutritious diet that provides calories for energy requirements and nutrients for proper growth, repair and maintenance of the body tissues. Moreover, it is essential for resisting and preventing diseases and infection that may lead to problems such as anemia, scurvy and rickets. In recent studies, medical researchers have discovered that good nutrition can help to reduce the risks of coronary heart disease and certain types of cancer. Menu and diet planners face tremendous challenges and difficulties in order to improve human health. Serving healthier meals is a major step towards achieving that objective. However, constructing and planning a nutritious and balanced menu manually is complicated, inefficient and time-consuming. The aim of this study is to develop a mathematical model for diet planning that meets the necessary nutrient intake for the secondary school student as well as minimizing a budget. The data were collected from various boa...

Research paper thumbnail of Optimum Risk-Adjusted Islamic Stock Portfolio Using the Quadratic Programming Model: An Empirical Study in Indonesia

Journal of Asian Finance, Economics and Business, 2021

Research paper thumbnail of Aspects of computerised timetabling

This research considers the problem of constructing high school timetables using a computer. In t... more This research considers the problem of constructing high school timetables using a computer. In the majority of high schools, termly or yearly timetables are still being produced manually. Constructing a timetable is a hard and time consuming task which is carried out repeatedly thus a computer program for assisting with this problem would be of great value. This study is in three parts. First. an overall analysis of the problem is undertaken to provide background knowledge and to identify basic principles in the construction of a school timetable. The characteristics of timetabling problems are identified and the necessary data for the construction of a timetable is identified. The first part ends with the production of a heuristic model for generating an initial solution that satisfies all the hard constraints embodied in the curriculum requirements. The second stage of the research is devoted to designing a heuristic model for solving a timetable problem with hard and medium cons...

Research paper thumbnail of A comparison of two alternative procedures for the classical scenario of probability proportional to size

Far East Journal of Mathematical Sciences, 2017

There are many alternative estimation procedures for the classical scenario of probability propor... more There are many alternative estimation procedures for the classical scenario of probability proportional to size given by Horvitz-Thompson. In this paper, two well-known alternative procedures are considered namely the ratio and linear regression estimators for estimating the population total of the variable of interest in the unequal probability sampling designs. Both procedures used auxiliary information from a suitable variable that is known for all units in the population. This study establishes the primary differences between the two alternative methods for estimating the population total and how the data of auxiliary variable is used in the estimation stage. The two estimators are compared theoretically and empirically by calculating the population total estimate, variances and relative efficiency between the estimators. The results show that under simple random sampling design with moderate positive correlation, the small and medium sample sizes lead to linear regression estim...

Research paper thumbnail of Forecasting Sales Demand of New Proton Car Using Bass Diffusion Model

Far East Journal of Mathematical Sciences (FJMS), 2018

Research paper thumbnail of Implication of Uncertainty and Sensitivity Analysis of Ebola Virus Disease Transmission

Indian Journal of Public Health Research & Development, 2019

Ebola epidemic model threshold value indicates whether the disease will continue to spread in a p... more Ebola epidemic model threshold value indicates whether the disease will continue to spread in a population or not. However, the accurate value of this threshold is influenced by uncertainty in its parameters’ values which are marred by parameter estimation errors due to procedure, errors in data collection and underlying model assumptions. Understanding the implication of changes in parameters values is necessary in order to guide outbreak control decision. Next generation matrix approach was used to determine the basic reproduction number of SVEQHIFR Ebola epidemic model. In assessing the influence, direction, and strength of relationship parameters to Ebola basic reproduction number, 1000 simulations run for LHS/PRCC procedure was used. Positive or negative sensitivity indices of the threshold value to parameter changes indicate that control measure should be intensified in reversing or enhancing these indices. This information can gauge implementation of interventions strategies in the attempt to decelerate Ebola disease transmission

Research paper thumbnail of Social Integration as Catalyst for People's Prosperity

International Journal of Engineering & Technology, 2018

In a nation-state, the aspect of unity among the people is important. Unity can define the politi... more In a nation-state, the aspect of unity among the people is important. Unity can define the political, economic and social stability. As a multi-racial country, Malaysia is a unique and special nation. Malaysia is regarded as an ideal country, a peaceful and happy country inhabited by various races and religions by other countries in the world. Due to its multi-racial status, it can’t be denied that Malaysia faces some problems in sustaining the harmonious people. Various policies were formulated by the Federal Government and the State Government to address racial issues in Malaysia. In this regard, the article seeks to identify the level of social integration of the community in Johor. The findings show that the state of Johorian integrity is at a good level that is projected to an excellent level. In addition, the findings show that some elements need to be emphasized in empowering social integration in the state of Johor to avoid inter-racial tensions, especially in relation to th...

Research paper thumbnail of Stability and Sensitivity Analysis of SSQVEQIHFR Epidemic Model

Indian Journal of Science and Technology, 2019

Research paper thumbnail of Electricity Load Demand Forecast using Fast Ensemble-Decomposed Model

Journal of Science and Technology, 2018

Research paper thumbnail of A Hybrid GA-FEEMD for Forecasting Crude Oil Prices

Indian Journal of Science and Technology, 2017

Research paper thumbnail of Optimal Method for Investing on Assets Using Black Litterman Model

Far East Journal of Mathematical Sciences (FJMS), 2017

Research paper thumbnail of EMD-DR models for forecasting electricity load demand

Contemporary Engineering Sciences, 2016

Research paper thumbnail of Implementation of Fuzzy Time Series in Forecasting of the Non-Stationary Data

International Journal of Computational Intelligence and Applications, 2016

To forecast the non-stationary data is quite difficult when compared with the stationary data tim... more To forecast the non-stationary data is quite difficult when compared with the stationary data time series. Because their variances are not constant and not stable like the second data type. This paper presents the implementation of fuzzy time series (FTS) into the non-stationary time series data forecasting, such as, the electricity load demand, the exchange rates, the enrollment university and others. These data forecasts are derived by implementing of the weightage and linguistic out-sample methods. The result shows that the FTS can be applied in improving the accuracy and efficiency of these non-stationary data forecasting opportunities.

Research paper thumbnail of An Improved Parameter Estimation of Bass Model for Forecasting New Car Demand

A new product forecasting model for new Proton car is developed and tested empirically against th... more A new product forecasting model for new Proton car is developed and tested empirically against the data gathered from the first twelve months of launching. The basic assumption to this model is the innovators who make decision to purchase the new car based on the information obtained from the mass media and the imitators are those who make decision to buy based on the existing social system through the personal selling and advertising. Forecasting new product or service is a critical process in marketing strategies and product performance for an organisation. This proposed Bass diffusion model represent the level of spread on the new car among a given set of the society in terms of a simple mathematical function that elapsed since the introduction of the new product. We highlight the selection of analogy product and selection of parameter estimation method. Results obtained by applying the proposed model and numerical calculation shows that the proposed model is robust and effective...