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All Journal International Journal of Science and Engineering (IJSE) Waste Technology Journal of Engineering and Technological Sciences Proceeding of the Electrical Engineering Computer Science and Informatics International Journal of Supply Chain Management PRISMATIKA: Jurnal Pendidikan dan Riset Matematika Indonesian Journal of Electrical Engineering and Computer Science Jurnal Sains dan Edukasi Sains Journal of Fundamental Mathematics and Applications (JFMA)

Widowati, Widowati

Department Of Mathematics, Faculty Of Sciences And Mathematics, Diponegoro University, Semarang

Author-ID : 3969069

Computer Science & IT Decision Sciences, Operations Research & Management Education Electrical & Electronics Engineering Engineering Environmental Science Industrial & Manufacturing Engineering Materials Science & Nanotechnology Mathematics Physics Transportation Other

Published : 12 Documents Claim Missing Document

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LOGISTIC MODEL DEVELOPMENT OF COVID-19 SPREAD WITH PHYSICAL DISTANCING INTERVENTION Okky Widya Arditya; Widowati Widowati; Sutimin Sutimin; R. Heru Tjahjana; Priyo Sidik Sasongko
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

In early 2020, covid-19 spread fast in the worldwide and cause the high death. The disease started from the Asian region which resulted in a viral pandemic in 2020. In order to anticipate the increasing of the cases, a strategy is needed to inhibit its transmission. The mathematical model approach is important tool for predicting of covid-19 spread in populations. In this paper we propose and analyze the dynamical behaviour of a developed logistic model by considering the effect of the contact patterns in reducing the covid-19 spread process. To verify the developed logistic model, numerical simulation was given with case study of covid-19 spread for patients under supervision in Central Java Province, Indonesia. Based on simulation results, it was found that physical distancing can reduce the growth of the covid-19 spread for patient under supervision. It can be seen from the number of covid-19 spread for patients under supervision with physical distancing intervention smaller compared to without physical distancing intervention.

MODELING PREDICTIVE TRACKING CONTROL FOR MAX-PLUS LINEAR SYSTEMS IN MANUFACTURING Lathifatul Aulia; Widowati Widowati; R. Heru Tjahjana; Sutrisno Sutrisno
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 2 (2020)
Publisher : Diponegoro University

Discrete event systems, also known as DES, are class of system that can be applied to systems having an event that occurred instantaneously and may change the state. It can also be said that a discrete event system occurs under certain conditions for a certain period because of the network that describes the process flow or sequence of events. Discrete event systems belong to class of nonlinear systems in classical algebra. Based on this situation, it is necessary to do some treatments, one of which is linearization process. In the other hand, a Max-Plus Linear system is known as a system that produces linear models. This system is a development of a discrete event system that contains synchronization when it is modeled in Max-Plus Algebra. This paper discusses the production system model in manufacturing industries where the model pays the attention into the process flow or sequence of events at each time step. In particular, Model Predictive Control (MPC) is a popular control design method used in many fields including manufacturing systems. MPC for Max-Plus-Linear Systems is used here as the approach that can be used to model the optimal input and output sequences of discrete event systems. The main advantage of MPC is its ability to provide certain constraints on the input and output control signals. While deciding the optimal control value, a cost criterion is minimized by determining the optimal time in the production system that modeled as a Max-Plus Linear (MPL) system. A numerical experiment is performed in the end of this paper for tracking control purposes of a production system. The results were good that is the controlled system showed a good performance.

Co-Authors A. Jauhar Mahya Aulia, Lathifatul Bambang Riyanto Dinar Mutiara Kusumo Nugraheni Fuad Muhammad Hari Muhammad Okky Widya Arditya Priyo Sidik Sasongko Redemtus Heru Tjahjana Rina Fiati Sapto P. Putro Shabrina Zata Yumni Suhartana Suhartana Sunarsih Sunarsih Sutimin Sutimin Sutrisno Sutrisno Sutrisno, Sutrisno

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