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…
ABSTRACT This nal project discusses the direct product of GK-algebras and it's proper- ties. This nal project is to show that the direct product of two GK-algebras is also a GK-algebra. Then by applying the concept of direct product GK-algebras a so that generalization of direct product is obtained on homomorphisms, iso- morphisms, dan kernel GK-algebras. Keywords: GK-algebras, homomorp…
ABSTRACT This final project discusses how to determine the point of reordering on the EOQ model where there are defective goods. Inspection is carried out to distinguish defective goods from good goods. How to determine the reorder point, which is the average demand multiplied by a known and constant waiting time. Making an order before the inspection time is over, an order is made before …
ABSTRACT This nal project discusses some identities for sum of reciprocal generalized Fibonacci numbers (Gn) with n = k for a positive integer k as well sum of reciprocal generalized Fibonacci numbers (Gn) with n = 2k + 1 or n is positive odd integer and n = 2k or n is positive even integer for a positive integer k. Then by applying the oor function to the sum of reciprocal discussed, a…
ABSTRACT This final project discusses the annual premium on joint life and last survivor endowment life insurance for two insurance participants aged who are x and y years old by using Clayton copula. The solution of this problem is obtained by determining the term initial life annuity temporary and single premium for each status, then the annual premium formula is obtained based on the Cl…
ABSTRACT This final project discusses the simplex method is modified in the case of cubic programming minimization. Cubic programming is an optimization problem with a nonlinear function and linear constraint function. The technique used for solving cubic programming is to determine the value of the objective function z using the simplex method which has been modified based on the basic de…