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Chemical Engineering Department, Faculty of Engineering, Computing and Science, Swinburne University of Technology, Jalan Simpang Tiga, Kuching, Sarawak 93350, Malaysia
Brno University of Technology, Institute of Process Engineering, NETME Centre, Technicka 2896/2, Brno, 616 69, Czech Republic
Department of Chemical and Environmental Engineering, University of Nottingham, Jalan Broga, Semenyih, 43500, Malaysia
Curtin University Malaysia, Department of Chemical Engineering, CDT 250, 98009, Miri, Sarawak, Malaysia
Universiti Tunku Abdul Rahman, Department of Chemical Engineering, Jalan Sungai Long, Bandar Sungai Long, Cheras, Kajang, Selangor 43000, Malaysia
Export Date: 8 January 2020
Correspondence Address: How, B.S.; Chemical Engineering Department, Faculty of Engineering, Computing and Science, Swinburne University of Technology, Jalan Simpang Tiga, Malaysia; email: bshow@swinburne.edu.my
Funding details: Vysoké Učení Technické v Brně
Funding details: Universiti Kebangsaan Malaysia
Funding details: Ministry of Higher Education, Malaysia, MOHE
Funding details: LRGS/2013/UKM-UKM/PT/06
Funding details: Swinburne University of Technology
Funding details: CZ.02.1.01/0.0/0.0/16_026/0008413
Funding details: EP/PO18165/1
Funding details: University of Nottingham Malaysia Campus, UNMC
Funding text 1: The authors would acknowledge the financial support from Long Term Research Grant Scheme (LRGS/2013/UKM-UKM/PT/06) from Ministry of Higher Education (MOHE), Malaysia; Newton Fund, the EPSRC/RCUK (Grant Number: EP/PO18165/1); the Ministry of Education, Youth and Sports of the Czech Republic under OP RDE (grant number: CZ.02.1.01/0.0/0.0/16_026/0008413) "Strategic Partnership for Environmental Technologies and Energy Production"; Swinburne University of Technology (Sarawak Campus); Brno University of Technology; Universiti Kebangsaan Malaysia; and University of Nottingham Malaysia Campus.
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P-graph is a graph-theoretic method which is designed to solve process network synthesis (PNS) problem using combinatorial and optimisation algorithms. Due to its visual interface for data encoding and results display; and its capability of generating multiple solutions (optimal and sub-optimal) simultaneously, the utility of P-graph has expanded into a broad range of studies recently. However, this powerful graph-theoretic method still falls short of dealing with non-linear problems. The problem can be found from the cost estimation provided by P-graph software. Despite it allows users to input the sizing cost (noted as “proportional cost” in P-graph software), the capacity and the cost are assumed to be linearly correlated. This inaccurate and unreliable cost estimation has increased the difficulty of making optimal decisions and therefore lead to undesirable profit loss. This paper proposes to solve the fundamental linearity problem by implementing trained artificial neural networks (ANN) into P-graph. To achieve this, an ANN model which utilised thresholded rectified linear unit (ReLU) activation function is developed in a segregated computational tool. The identified neurons are then modelled in P-graph in order to convert the input into the nonlinear output. To demonstrate the effectiveness of the proposed method, an illustrative case study of biomass transportation is used. With the use of the trained neurons, the non-linear estimation of transportation cost which considered fuel consumption cost, vehicle maintenance cost and labour cost are successfully modelled in P-graph. This work is expected to pave ways for P-graph users to expand the utility of P-graph in solving other more complex non-linear problems. Copyright © 2019, AIDIC Servizi S.r.l.
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" > How, B.S. ✉ </span> <span class="author-type"> </span> ; <span class="author-name" > Teng, S.Y. </span> <span class="author-type"> </span> ; <span class="author-name" > Leong, W.D. </span> <span class="author-type"> </span> ; <span class="author-name" > Ng, W.P.Q. </span> <span class="author-type"> </span> ; <span class="author-name" > Lim, C.H. </span> <span class="author-type"> </span> ; <span class="author-name" > Ngan, S.L. </span> <span class="author-type"> </span> ; <span class="author-name" > Lam, H.L. ✉ </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;31042900" mtid="31042900" target="_blank">Non-linear Programming via P-graph Framework</a></div> <div class="pub-info"> <span class="journal-title">CHEMICAL ENGINEERING TRANSACTIONS</span> <span class="journal-volume">76</span> <span class="page"> pp. 499-504. , 6 p. </span> <span class="year">(2019)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.3303/CET1976084" target="_blank" href="https://doi.org/10.3303/CET1976084"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85076266101" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076266101"> Scopus </a> </span> </span> </div> <div class="short-pub-prop-list"> <span class="short-pub-mtid"> Közlemény:31042900 </span> <span class="status-holder"><span class="status-data status-VALIDATED"> Egyeztetett </span></span> <span class="pub-core"> Idéző </span> <span class="pub-type">Folyóiratcikk (Szakcikk ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Tudományos</span> </div> </div> </div><div class="JournalArticle Publication long-list">
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<span class="author-name" >Leong W.D.
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<div class="title"><a href="/gui2/?mode=browse¶ms=publication;31042900" target="_blank">Non-linear Programming via P-graph Framework</a></div> <div> <span class="journal-title">CHEMICAL ENGINEERING TRANSACTIONS</span>
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<div class="lastModified">Utolsó módosítás: 2022.10.13. 11:56 MTMT API (MTMT API user, admin)
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<pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Megjegyzés</u>: Chemical Engineering Department, Faculty of Engineering, Computing and Science, Swinburne University of Technology, Jalan Simpang Tiga, Kuching, Sarawak 93350, Malaysia
Brno University of Technology, Institute of Process Engineering, NETME Centre, Technicka 2896/2, Brno, 616 69, Czech Republic
Department of Chemical and Environmental Engineering, ...</pre>
</div></div>