E jurnal Matematika

79-87

Authors: Ni Komang Sukanasih, I Nyoman Widana, Ketut Jayanegara

Joint life is an insurance that covered two or more individuals in one policy. This research aims to determine the value and comparison of fixed deposit rate premium and stochastic rate with Vasicek model. It used prospective calculation method. The mortality table in the research used TMI-2011, for participant were couple age 40 and 35 years old with 10 year premium payment. Under this condition the value of constant rate premium and Vasicek rate premium is Rp.0,1071 and Rp.0,1043. Besed of this research showed the value of the Vasicek rate premium is smaller than constant rate premium.

94-101

Authors: Eko Meidianto N. R., P. H. Gunawan, A. Atiqi Rohmawati

This one-dimensional simulation is performed to find the convergence of different fluxes on the water wave using shallow water equation. There are two cases where the topography is flat and not flat. The water level and grid of each simulation are made differently for each case, so that the water waves that occur can be analyzed. Many methods can be used to approximate the shallow water equation, one of the most used is the finite volume method. The finite volume method offers several numerical solutions for approximate shallow water equation, including Rusanov and HLLE. The derivation result of the numerical solution is used to approximate the shallow water equation. Differences in numerical and topographic solutions produce different waves. On flat topography, the rusanov flux has an average error of 0.06403 and HLLE flux with an average error of 0.06163. While the topography is not flat, the rusanov flux has a 1.63250 error and the HLLE flux has an error of 1.56960.

111-121

Authors: Ngurah P. Dwipayana , Eka N. Kencana , Ni Ketut Tari Tastrawati

Tourism has been positioned as rising industry since year 2000s. Despite of its position as the primary mover for economic development and increasing the welfare of local people at the destination, tourism also induces some negative impacts regarding the social as well environment dimension for the destination and its surrounding. This essay is directed to study the impacts of marine tourism that take places at coastal region of Badung regency of Bali province. Utilising proportionally random sampling, 180 local people at District of Mengwi at Badung were selected as the sample's members for the study. Three dimensions of tourism sustainability i.e. economic, socio-cultural, and environment dimension were positioned as the exogenous latents while tourism impact was perceived by the local is placed as the endogenous one. In additon, this impact is hypothesed a ects the sustainability of marine tourism at this district. A covariance-based structural equation model was built to elaborate the causal relationship among these latent variables. Our research confirmed all of exogenous latents significantly affect people perception about tourism impact with socio-cultural dimension dominates the others' impact, and in turn, this impact - from supply perspective - affects marine tourism sustainability at Mengwi district of Badung regency.

129-133

Authors: I Putu Yudi Prabhadika, Ni Ketut Tari Tastrawati, Luh Putu Ida Harini

Infusion supplies are an important thing that must be considered by the hospital in meeting the needs of patients. This study aims to predict the need for infusion of 0.9% 500 ml of NaCl and 5% 500 ml glucose infusion at Sanglah General Hospital (RSUP) Sanglah so that the hospital can estimate the many infusions needed for the next six months. The forecasting method used in this research is the autoregressive integrated moving average (ARIMA) time series method. The results of this study indicate the need for infusion at Sanglah Hospital as many as 154,831 units for infusion of 0.9% NaCl 500 ml and 8,249 units for 5% 500 ml Glucose infusion.

141-147

Authors: Sayid Qosim, Komang Dharmawan, Luh Putu Ida Harini

Agricultural insurance is an insurance in agriculture sector that is relatively newly introduced in Indonesia. Agricultural insurance based on rainfall index is one of the risk management tool to keep farmers in case of crop failure. This study aims to determine the steps in determining the value of rainfall index on agricultural insurance and calculate the value of agricultural insurance premiums based on simulated rainfall index by Stochastic weather generator with mixed exponential distribution. The results of this study provide value if the amount of rainfall 103,71 mm so that the amount of premium payments equal to Rp19.016, and if the rainfall is high 128.35 mm then the amount of premium payment equal to Rp1.088.000.

157-164

Authors: Tjok Gde Sahityahutti Ranangga, I Wayan Sumarjaya, I Gusti Ayu Made Srinadi

The purposes of this research were to model and to forecast the number of foreign tourists (Australia, China, and Japan) arrival to Bali using vector autoregressive (VAR) method. The estimated of VAR model obtained to forecast the number of foreign tourists to Bali is the sixth order VAR (VAR(6)).We used multivariate least square method to estimate the VAR(6)’s parameters.The mean absolute percentage error (MAPE) in this model were as follows 6.8% in predicting the number of Australian tourists, 15.9% in predicting the number of Chinese tourists, and 9% in predicting the number of Japanese tourists. The prediction of Australian, Chinese, and Japanese tourists arrival to Bali for July 2017 to December 2017 tended to experience up and downs that were not too high compared to the previous months

173-179

Authors: Ahmad Saifuddin, Ni Ketut Tari Tastrawati, Kartika Sari

In Game Theory, generally discusses the zero sum games and non-zero sum games. Both of these studies applied in solving problems predicting the chosen decision based capabilities (pay off). In a case study of the preparation and delivery of the election in Jakarta through the application of the concept of the non-zero sum game obtained by the conclutions that AHY – SM and AB – SU has five same optimum strategies: capture East Jakarta voters, women voters, 20 -29 years old voters, graduated from high school voters, and the Javaness community. While BTP – DSH only different in maximizing strategy of capturing men voters and West Jakarta voters.

187-193

Authors: Dahliatul Hasanah, Imam Supeno

Completion of a metric space has been investigated and proved its existence and uniqueness. While a complex valued metric space is considered as a generalization of a metric space, we study the completion properties of complex valued metric spaces. Using redefined definitions of isometry and denseness in complex valued metric spaces which correspond to the definitions in metric spaces, we prove the existence and uniqueness of completion of a complex valued metric space.