This final project discusses the use of the Set Covering Problem (SCP) model in determining the optimal location and number of fire stations in Pekanbaru City. The SCP model includes Location Set Covering Problem (LSCP) and Maximum Covering Location Problem (MCLP). Problems in this model are solved using the LINGO 18.0 application. Based on the LSCP model with a maximum travel time of 15 minute…
The pension fund program is a type of future planning that tries to assure a person’s safety and comfort in old age. This final project discusses the normal cost of the pension fund using the projected unit credit method in the case of multiple decrement. Based on data service table PT. Taspen Pekanbaru City Branch with three cases, namely normal retirement, withdraw ret…
This final project explains the application of game theory on social media com- petition using linear programming and Brown’s algorithm. This problem aims to determine the optimal strategy for each social media. The social media in this study are Instagram, Tiktok, and Twitter. Alternative strategies are informa- tion strategy, communication strategy, promotion strategy, and entertainment str…
The final project discusses the properties of incline algebra and right derivation of incline algebra. The discussion includes the concept of relation, poset, dis- tributive lattice, boolean algebra, incline algebra, and semiring. The result of this project show the relationship right derivation of incline algebra with right derivation semiring. Keywords: incline algebra, right derivation, d…
This final project discusses about predator-prey model with Holling type-II functional response with the impact of fear and Allee effect in prey population. In the model observed, there are four equilibrium points in which three of them are stable under certain conditions. This model undergoes Hopf bifurcation at the positive equilibrium by taking the level of fear as bifurcation parameter. Si…
This final project discusses prime cyclic ideals on Gaussian integers and Ei- senstein integers over ring modulo n with a, b Zn. That is solved by using theorems related to the characteristics of prime cyclic ideals applied to the Ga- ussian ring of integers and the Eisenstein ring of integers. This characteristics show that Gaussian primes and Eisenstein primes are prime ideals. Keywords: P…
This final project discusses the Sylvester matrix of order (n + 1) (n + 1), the Sylvester matrix is a tridiagonal matrix that has main diagonal entries are real numbers, the upper subdiagonal entries are 1, 2, . . . , n while the subdiagonal entries the bottom is inversely proportional to the upper subdiagonal entry. Then calculate the spectrum and determinant of the Sylvester matrix by finding…
This final project discusses the solution of inventory problems using EOQ multi- item model and Monte Carlo simulation to determine problem solving techni- ques that can be used to managing inventory. EOQ multi-item model gives an optimal solution so that it can be saving the cost of inventory. Monte Car- lo simulation is an alternatives technique that are associated with uncertainty or prob…
This final project discusses the mathematical modeling of an allocation scheduling in the lecture building the Faculty of Mathematics and Natural Sciences, University of Riau, especially in the Department of Mathematics during the Even Semester 2019-2020 using binary integer programming. The problem is to optimize the classrooms used by meeting specified constraints, based on the availabil…