scholarly journals Mathematical Modelling of Diet Planning Problem for Hypertension Patients

2021 ◽  
Vol 6 (4) ◽  
pp. 1-9
Author(s):  
Nuridawati Baharom ◽  
Nur Shamien Alfiera Muhamad Isa
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
Integer Programming ◽  
Disease Patient ◽  
Food Group ◽  
Programming Approach ◽  
Planning Problem ◽  
Food Groups ◽  
Worst Case ◽  
Control Food Intake

Hypertension or high blood pressure is also called a “silent killer” that may lead to serious damage to the heart and kidney. The worst case can result in sudden death. Unbalanced diets are one of the risk factors for hypertension. Previous studies have proven that diet plays a significant role in influencing hypertension patient condition. Proper planning on the selection of diets needs to be done to control food intake for this cardiovascular disease patient. This study aims to formulate a mathematical model of diet planning for hypertension patients. Specifically, this study attempts to determine the amount of nutrients need by hypertension patients, to find the cost of the food combination, and to identify the best model between linear programming and integer programming. The research model included 10 types of food groups with 200 variables based on Malaysian recipes and developed a mathematical model using two programming techniques; linear programming and integer programming. The finding showed that the solution provided by the entire programming method has met the constraints and requirements of the food group. The results from the integer programming approach would offer optimal and efficient alternatives to diet planning for patients with hypertension. It can serve as a guideline for hypertension patients on type of food to eat and the correct amount of serving to complete their nutritional plan.

An Integer Programming Approach to Optimize the Plantation in Order to Reduce Global Warming

2012 ◽  
Vol 548 ◽  
pp. 767-771 ◽  
Author(s):  
C. Vanlisuta ◽  
Suksan Prombanpong
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
Objective Function ◽  
Programming Model ◽  
Programming Approach ◽  
Profit Function ◽  
Carbon Credit ◽  
Integer Linear Programming Model ◽  
The Mathematical Model

The objective of this paper is to determine the number and species of trees to be planted in order to maximize a profit through an integer linear programming model. The mathematical model is developed in terms of the profit function. This objective function is therefore, a difference between carbon credit revenue and costs of plantation. The economical plants are only considered in the model. Consequently, fourteen different tree species are to be investigated. The objective function is subjected to several constraints i.e. planting area, carbon sequestration and so on. The planting envelope of each tree is assigned 4 by 4 meters. In this paper, the Eastern part of Thailand is considered the case study. It is found that three kinds of plants, Copper pod, Cananga, and Bullet wood are suitable for planting. A number of trees to be planted in 1600 square meter are twenty, thirty, and fifty plants respectively. The profit earned is of 12,112 $ per year in the next fifth year.

Application of Multi Objective Fuzzy Linear Programming in Supply Production Planning Problem

2012 ◽  
Author(s):  
Pandian M. Vasant
Keyword(s):  
Linear Programming ◽  
Production Planning ◽  
Membership Function ◽  
Programming Model ◽  
Real Life ◽  
Fuzzy Linear Programming ◽  
Programming Approach ◽  
Planning Problem ◽  
Production Planning Problem ◽  
S Curve

The objective of this paper is to establish the usefulness of modified s-curve membership function in a limited supply production planning problem with continuous variables. In this respect, fuzzy parameters of linear programming are modeled by non-linear membership functions such as s-curve function. This paper begins with an introduction and construction of the modified s-curve membership function. A numerical real life example of supply production planning problem is then presented. The computational results show the usefulness of the modified s-curve membership function with fuzzy linear programming technique in optimising individual objective functions, compared to non-fuzzy linear programming approach. Futhermore, the optimal solution helps to conclude that by incorporating fuzziness in a linear programming model through the objective function and constraints, a better level of satisfactory solution will be provided in respect to vagueness, compared to non-fuzzy linear programming.

Study of the Model and Algorithm in Linear Programming of Maintainability Growth Project

2012 ◽  
Vol 271-272 ◽  
pp. 1427-1433
Author(s):  
Hui Liu ◽  
Jian Ping Hao
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
General Solution ◽  
Simplex Method ◽  
Solution Method ◽  
Project Planning ◽  
Planning Problem ◽  
Project Study ◽  
Relationship Of ◽  
The Mathematical Model

In order to solve the planning problem of maintainability growth project, study of the model and algorithm in linear programming of maintainability growth project is put forward. Firstly, the linear relationship of factor and target as an example, the mathematical model of maintainability growth project planning is put forward in the article, and a general solution method is mentioned. Then according to the maintainability growth problem’s characteristic, the algorithm is improved. A solution method is brought out which is about simplex method with variable changed form 0 to 1- γi. This Algorithm makes the solution of maintainability growth project planning become much simpler than before.

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