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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Operations Research: International Conference Series
Fauziyah, Wida Nurul
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Mathematics

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Systematic Literature Review on Adjustable Robust Shortest Path Problem Fauziyah, Wida Nurul; Chaerani, Diah; Napitupulu, Herlina
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i4.17648

Abstract

In real-world optimization problems, effective path planning is important. The Shortest Path Problem (SPP) model is a classical operations research that can be applied to determine an efficient path from the starting point to the end point in a plan. However, in the real world, uncertainty is often encountered and must be faced. Significant uncertainty factors in the problem of determining the shortest path are problems that are difficult to predict, therefore new criteria and appropriate models are needed to deal with uncertainty along with the required efficient solution. The uncertainty factor can be formulated using an uncertain SPP optimization model, assuming parameters that are not known with certainty but are in an uncertain set. Problems with uncertainty in mathematical optimization can be solved using Robust Optimization (RO). RO is a methodology in dealing with the problem of data uncertainty caused by errors in data measurement. The uncertainty in the linear optimization problem model can be formed by loading the uncertainty that only exists in the constraint function by assuming its uncertainty using the Robust Counterpart (RC) methodology. In this paper, we will review the literature on the two-stage optimization model for the SPP problem using an Adjustable Robust Counterpart (ARC).
Comparison of the Trapezoidal Rule and Simpson's Rule in the Riemann-Liouville Fractional Integral Approach Muslihin, Khoirunnisa Rohadatul Aisy; Fauziyah, Wida Nurul; Purwani, Sri
Operations Research: International Conference Series Vol. 3 No. 4 (2022): Operations Research International Conference Series (ORICS), December 2022
Publisher : Indonesian Operations Research Association (IORA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/orics.v3i4.200

Abstract

Research on calculus has developed a lot, including fractional calculus. Fractional calculus is a branch of mathematics that transforms the orders of derivatives and integrals into rational or even real values. In finding the value of the derivative and the fractional integral, a numerical method is needed to find it, because of the difficulty if it is done using an analytical method. In this paper, we will describe the Riemann-Liouville fractional integral approach using the trapezoidal rule and Simpson's rule. We also provide an overview of the comparisons and errors that result from the two methods. 
Co-Authors Diah Chaerani Herlina Napitupulu Muslihin, Khoirunnisa Rohadatul Aisy Purwani, Sri