ABSTRACT This final project discusses the Newton-Jarratt’s method to solve nonlinear equations. Analytically by using Taylor expansion and geometric series the proposed Newton-Jarratt’s method have an fifth order of convergence with efficiency index 1.495. Numerical computations of several examples with some other discussed methods show that the proposed method in general has the small…
ABSTRACT This final project aims to optimize the assignment of unbalanced workloads with multiple job assignments using the Dhouib-Matrix-AP2 method. Unbalanced assignment issues often occur in various fields, leading to workload imbalances and decreased productivity. The Dhouib-Matrix-AP2 method combines the Dhouib matrix and the AP2 linear programming algorithm to find optimal solutions…
ABSTRACT This final project aims to find an optimal solution for the assignment problem using the DM-AP1 method. This final project utilizes trapezoidal fuzzy data involving 7 workers (W) and 7 tasks (J), with Microsoft Excel employed as the data processing tool. The Dhouib-Matrix-AP1 (DM-AP1) method is used to solve the problem of assigning workers by considering interrelationship and mi…
ABSTRACT This nal project discusses full preliminary term reserve of endowment life insurance for single insurance participant who are x years old using log-logistik and logistik distribution. The parameters in the log-logistik and logistik distribution were estimated using maximum likelihood then to obtain results you can use a numerical solution by using software RStudio. The solution o…
ABSTRACT This final project discusses the scheduling analysis of a project using the cri- tical path method (CPM) and the program evaluation and review technique (PERT) to find the project’s critical path so that the overall project time can be determined. This problem aims to optimize the completion time of a pro- ject and minimize delays that cause project planning to be inconsistent w…
ABSTRACT This discuss an the problem of travelling salesman on interval number with elements in the from of octagonal fuzzy number. This discussion aims to nd the optimal route solution for a school bus trip taking into account the cost of travel time. The process of solving the travelling salesman problem begins with changing the cost interval number into an octagonal fuzzy number using …
ABSTRACT This final project discusses the comparison of the EOQ model and the MMSL model in inventory systems. The research method used is the comparative analysis with a quantitative approach. The research results show that the EOQ model has an optimal level of cost efficiency compared to the MMSL model. This study contributes to understanding the comparison of the two models in inventor…
ABSTRACT This final project discusses the new iterative method using weight function and Jarratt’s method for solving nonlinear equation. The convergence analysis using Taylor expansion and geometric series show that the proposed method has a fourth order convergence with efficiency index is 1.587. The numerical comparisons of the method to some other fourth order methods using several examp…
ABSTRACT This nal project discusses the development of the mixtilinear incircle on the triangular trisector of a triangle. The development carried out is to show the relationship formed between the radii of the mixtilinear incircle which can be constructed from the triangles on the trisector of angle 4ABC. Each triangle is formed by three dierent mixtilinear incircles. The relationship b…
ABSTRACT This final project discusses three comparisons of new iteration methods, Arithmetic Newton, Harmonic Newton, and Geometric Newton, to solve nonlinear equations. The process of forming these methods uses the equation of the tangent line approximated by arithmetic mean to produce the Arithmetic Newton method, and the harmonic mean for the Harmonic Newton method, and the geometric m…
ABSTRACT This nal project discusses the comparison of three new iterative methods, the trapezoidal Newton method, the midpoint Newton method, and the modied midpoint Newton method, for solving nonlinear equations. The process of de- veloping these three methods involves using tangent line equations formed by integrals and approximated using the trapezoidal rule and midpoint. Conver- gen…
ABSTRACT This final project discusses the assignment problems. The assignment problem is then solved with the Hungarian method and modified Hungarian method for unbalanced cases with more officers than machines. Solving the unbalanced as- signment problem uses the Hungarian method and modified Hungarian method by is carried out reducing the rows and columns in the matrix until a single zer…