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Application of graph theory and webster method in traffic light settings at the tulip intersection in kefamenanu city Sikas, Oktovianus R.; Mada, Grandianus Seda; Blegur, Fried Markus Allung; Nabu, Andreas Giovani
Desimal: Jurnal Matematika Vol. 6 No. 3 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i3.19526

Abstract

The traffic light settings at several road intersections in Timor Tengah Utara Regency have not been regulated, taking into account the width of the road and the volume of vehicles. One of the intersections in question is the Eltari–Sonbay–L. Lake intersection road (Tulip intersection). At this intersection, traffic jams often occur because traffic light settings are not optimal, so it is necessary to have traffic regulations that pay attention to road width and vehicle volume. This research aims to find out how to regulate the duration of traffic lights using graph theory and the Webster method. This research is applied research. The data used is primary data, which includes road geometry and traffic volume data. The results of calculations using a compatible graph and the Webster method obtained two-time phases. Phase 1 for the Eltari road section (north and south) has a green light duration of 22 seconds, yellow 3 seconds, and red 27 seconds. Meanwhile, Phase 2 for Sonbay Road and L. Lake Road has a green, yellow, and red-light duration of 23 seconds, 3 seconds, and 26 seconds, respectively. These results look more optimal compared to the current ones, which only consist of one-time phase.
WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM Mada, Grandianus Seda; Dethan, Nugraha K.F.; Blegur, Fried Markus Allung; Santos, Adriano Dos
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (629.024 KB) | DOI: 10.30598/barekengvol16iss1pp291-302

Abstract

The problems of linear programming are developing from time to time, and its complexity is constantly growing. Various problems can be viewed as a multi-objective fuzzy linear programming, multi-objective stochastic linear programming or a combination of both. This research is focused on examining Multi-Objective Fuzzy Stochastic Linear Programming (MOFSLP) with each of the objective functions has a different level of importance to decision makers, or better known as the nonsymmetrical model. The objective function of the linear program contains fuzzy parameters, while the constraint function contains the fuzzy parameters and random variables. The purpose of this study is to develop an algorithm to transform the MOFSLP be a Program of linear Single-Objective Deterministic Linear Programming (SODLP) so that it can be solved using simplex method. In the process of transforming MOFSLP to SODLP, several approaches have been used. They are; weighted additive model, analytic hierarchy process and chance constrained technique. An example of numerical computations has been provided at the end of the discussion in order to illustrate how the algorithm works. The resulted Model and algorithm are expected to help companies in the decision making process.