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Journal : International Journal of Quantitative Research and Modeling

Waiting Time Optimization at Traffic Light Intersection in Purbalingga by Using Compatible Graphs Lestari, Mugi; Maryani, Sri; Halim, Nurfadhlina Abdul
International Journal of Quantitative Research and Modeling Vol 5, No 3 (2024)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v5i3.742

Abstract

Traffic congestion is a problem that often occurs at crossroads. One of the causes of congestion is the waiting time for traffic at a crossroad improper, so it can cause the accumulation of vehicles in several branches. The purpose of this paper is to determine the optimal waiting time for traffic lights at the Sudirman-Pujowiyoto intersection in Purbalingga by using a compatible graph. The traffic flow at the intersection can be modeled into a compatible graph, where a vertex represents the traffic flow to be managed and the edges indicate that the two flows are compatible. It means that they can run simultaneously without crossing. Based on secondary data from Dinas Perhubungan Kabupaten Purbalingga, the total waiting time applied to the Sudirman-Pujowiyoto intersection is 317 seconds. Meanwhile, according to the compatible graph calculation, by using the assumption of 60 seconds in a cycle, an optimal total waiting time is 120 seconds.
Calculation of Motor Vehicle Insurance Premiums by using the Moment Method to Estimate the Aggregate Claim Model Alfaridzi, Sultan Izbik Riska; Prabowo, Agung; Nurhayati, Nunung; Halim, Nurfadhlina Abdul
International Journal of Quantitative Research and Modeling Vol. 5 No. 2 (2024)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v5i2.685

Abstract

The aggregate claim model is a model that can be used to determine the amount of premium billed to the insured by the insurance company. This model consists of a combination of two independent random variables, namely the number of claims that occur and the size of the claim for each claim submitted. In this study, many claims are Poisson distributed and the size of the claim is exponentially distributed. The method of moments is used to estimate the parameters of each distribution. Based on the calculation results, the amount of premium billed to the insured for one year if based on the pure premium principle is Rp. 112,500,000.00 and if based on the expected value principle, variance value principle, and standard deviation principle is Rp. 165,900,000.00.