ABSTRACT This final project discusses the stability of the predator-prey model using the Holling-II for infected prey. The equilibrium point of the model is determined and the stability analysis is seen from the eigenvalues of the system linearity matrix. At the the end of the discussion, we look at the behavior of the model for the equilibrium point generated with infected prey, which sho…
ABSTRACT This final project discusses the modification of Chebyshev-Halley method by using approximation of first derivative with interpolation to solve nonlinear equations. Analytically by using Taylor expansion and geometric series the proposed method proven have five order of convergence. The proposed method is derivative free with efficiency index 1.495. Numerical computations of seve…
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…