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All Journal Jurnal Sains dan Seni ITS CAUCHY: Jurnal Matematika Murni dan Aplikasi Gamatika TELKOMNIKA (Telecommunication Computing Electronics and Control) Limits: Journal of Mathematics and Its Applications International Journal of Computing Science and Applied Mathematics International Journal of Global Operations Research Jurnal Natural
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Departemen Matematika Institut Teknologi Sepuluh Nopember
Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Immunology & microbiology Mathematics Neuroscience Physics Other

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Mathematical Modelling of Inventory Costs in Supply Chains with Horizontal Cooperation Zahara, Chasna; Mardlijah, Mardlijah
International Journal of Global Operations Research Vol. 5 No. 2 (2024): International Journal of Global Operations Research (IJGOR)m May 2024
Publisher : iora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/ijgor.v5i1.283

Abstract

Efficiency in the supply chain has become very important for companies in the era of increasingly fierce business competition. This has encouraged some companies to start implementing the concept of collaboration between companies or commonly called horizontal cooperation. Horizontal cooperation is important because companies need to work together to manage complex supply chains. To manage production in a collaborative supply chain requires designing a cost-effective model. The design of this model is expected to optimise inventory costs to achieve common goals in horizontal cooperation. This model is a form of linear programme consisting of objective function and constraint function. The objective function is to minimise the inventory cost in a four-tier supply chain with horizontal cooperation on post-production final storage at the production level only. The model was tested with 3 suppliers, 3 materials, 3 factories, 4 products, 3 distributors, and 3 consumers. The model with horizontal cooperation resulted in a total inventory cost of 1,349,830. This amount is 8% lower than the total inventory cost without horizontal cooperation. Thus, horizontal cooperation in the supply chain drastically reduces inventory costs throughout the supply chain.
LQR and Fuzzy-PID Control Design on Double Inverted Pendulum Erlyana Trie Damayanti; Mardlijah Mardlijah; Ridho Nur Rohman Wijaya
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): 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.v9i1.22070

Abstract

Double inverted pendulum is a non-linear and unstable system. Double inverted pendulum can be stabilized in the upright position by providing control to the system. In this research we compare two types of controllers namely Linear Quadratic Regulator (LQR) and Fuzzy-PID. The objective is to determine the control strategy that provides better performance on the position of the cart and pendulum angle. We modelled the system which is then linearized and given control. From the simulation results, it is proven that LQR and Fuzzy-PID controllers have been successfully designed to stabilize the double inverted pendulum. However, when given a disturbance in the form of noise step, the LQR controller has not been able to achieve the desired reference for up to 20 seconds. In another hand, the Fuzzy-PID controller is able to achieve the desired reference after 8 seconds. Therefore, it can be concluded that the Fuzzy-PID controller when applied to the Double Inverted pendulum system has better performance than the LQR controller.
Co-Authors Achmad Fatoni Asmudik, Asmudik Brigita Sance Dauliyatu Achsina Didik Khusnul Arif Dieky Adzkiya Erlyana Trie Damayanti Erna Apriliani Gresela Sitorus Hakam, Amirul Hariyanto Hariyanto Hariyanto, Hariyanto Kamiran Kamiran Lukman Hanaļ¬ Lusi Nur Rahmawati Mardiana Septiani Marwan Ramli Mohammad Isa Irawan Muhammad Hajarul Aswad Muhammad Ikhwan Nada Fitriani Azzahra Nailul Izzati Noorman Rinanto Nur Asiyah Oryza Safitri Putri Saraswati Retna Shely Purwanti Ridho Nur Rohman Wijaya Titik Mudjiati Wiwit Ratnasari Zahara, Chasna