1. Sinteza velikih omrežij toplotnih prenosnikovRok Dretar, 2018, magistrsko delo Opis: V magistrskem delu smo preverjali dvostopenjski pristop k sintezi velikih omrežij toplotnih prenosnikov. V prvi stopnji smo s pomočjo mešano celoštevilskega linearnega programirnega (MILP) modela TransGen usmerili rešitve h globalnemu optimumu na osnovi lineariziranih ocen stroškov investicije, v drugi stopnji pa smo s pomočjo mešano celoštevilskega nelinearnega programirnega (MINLP) modela Synheat dobili končno rešitev, pri čemer smo reducirali superstrukturo na izbrane stike v prvi stopnji. Rešitev je omrežje toplotnih prenosnikov z minimalnimi celotnimi letnimi stroški.
Raziskali smo, ali lahko z danim pristopom dobimo rešitve, primerljive s tistimi iz literature, v sprejemljivem času (nekaj ur), in ali lahko s tem pristopom rešujemo kompleksne primere iz industrije. V te namene smo najprej rešili primer, ki je objavljen v literaturi in vsebuje 22 toplih tokov, 17 hladnih in eno vroče ter eno mrzlo pogonsko sredstvo. Nato smo rešili problem iz industrije, ki vsebuje 43 toplih in 35 hladnih tokov, tri vroča pogonska sredstva in dve mrzli, zato da določimo, kako velike primere lahko rešujemo.
Raziskava je pokazala, da smo z raziskanim pristopom uspešno tvorili velika omrežja toplotnih prenosnikov v sprejemljivem času. Rezultati, ki smo jih dobili, so nekoliko slabši od tistih iz literature. Do nekoliko slabših rezultatov pride najverjetneje zaradi precenitve investicije v prvi MILP-stopnji. Za zmanjšanje napake smo podali priporočilo za boljšo linearizacijo investicije.
Predstavljena metoda je ustrezna za reševanje primerov industrijskih razsežnosti, saj smo rešitve dobili v kratkem času. Ključne besede: velika omrežja toplotnih prenosnikov, dvostopenjski pristop, MILP, MINLP, TransGen, Synheat Objavljeno v DKUM: 09.10.2018; Ogledov: 866; Prenosov: 64
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2. Port hinterland modelling based on port choiceTomaž Kramberger, Bojan Rupnik, Gregor Štrubelj, Klemen Prah, 2015, izvirni znanstveni članek Opis: This paper presents a new approach for hinterland modelling based on the results of port choice modelling. The paper follows the idea that the shippers' port choice is a trade-off between various objective and subjective factors. The presented model tackles the problem by applying the AHP method in order to obtain ports' preference rates based on subjective factors, and combine them with objective factors, which include port operation costs, sailing times, and land transport costs using MILP. The ports' hinterlands are modelled by finding the optimal port of choice for different locations across Europe and merging the identical results. The model can be used in order to produce captive hinterland of ports and can also be exploited in order to analyse how changes in the traffic infrastructure influence the size of hinterlands. Ključne besede: port hinterland modelling, captive hinterland, contestable hinterland, ports, MILP, GIS, objective and subjective factors Objavljeno v DKUM: 05.06.2017; Ogledov: 1212; Prenosov: 381
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3. SINTEZA SEPARACIJSKIH PROCESOV ZA ČIŠČENJE ODPADNIH OLJNIH EMULZIJGorazd Pecko Škof, 2016, magistrsko delo Opis: Namen magistrskega dela je bil izvesti optimalno povezavo različnih tehnologij čiščenja odpadnih oljnih emulzij (OOE) za zmanjševanje okoljske obremenitve oziroma doseganje ekoloških standardov v obliki zakonske regulative, ob upoštevanju ustrezne ekonomske učinkovitosti. Izdelali smo optimizacijski model in z uporabo mešanega celoštevilčnega linearnega programiranja (MILP) posamezne sklope v procesu čiščenja združili v enoten tehnološki sklop – superstrukturo. Za sledenje učinkovitosti čiščenja OOE smo izmed zakonsko predpisanih parametrov, ki jih je potrebno spremljati v okviru obratovalnega monitoringa odpadnih vod, izbrali parameter KPK – kemijsko potrebo po kisiku, katerega mejna vrednost za izpuščanje odpadnih voda v vodotoke znaša 120 mg O2/L. Poleg tega, da smo uporabili celoten spekter tehnologij čiščenja OOE, smo z namenom pridobitve različnih kombinacij posameznih separacijskih tehnik, izvedli analizo parametrov s spreminjanjem vrednosti vhodnega KPK med 1.000 in 110.000 mg O2/L. V magistrskem delu je prikazano učinkovito kombiniranje tehničnih rešitev in ekonomskih kazalcev učinkovitosti postopkov obdelave. Rezultati optimiranja kažejo, da se z naraščajočimi vrednostmi parametra KPK vhodnega toka povečujejo investicijski in obratovalni stroški, vključno s porabo električne energije, kar bistveno vpliva na ekonomsko učinkovitost čiščenja OOE. Ključne besede: odpadne oljne emulzije, superstruktura, MILP, KPK Objavljeno v DKUM: 20.10.2016; Ogledov: 1130; Prenosov: 32
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4. Synthesis of regional networks for biomass and biofuel production Hon Loong Lam, 2010, doktorska disertacija Opis: This thesis presents two different approaches to the synthesis of regional networks for biomass and biofuel production and supply: Mathematical Programming and Graph Theoretic approach. The optimisation criterion for both approaches is the maximisation of profit.
The first approach is based on a generic optimisation model of biomass production and supply networks. This superstructure approach is based on a flexible number of network layers: plantation, collection using a pre-treatment, process, and consumption. A Mixed Integer Linear Programming (MILP) model has been successfully developed during this work.
However, the solution of this biomass production network model is very challenging due to the large sizes of the networks and the number of interconnections. The huge number of redundant variables reduces model efficiency (time taken to solve the model and the interpretation of the results). This model when representing very large size networks cannot be solved over a reasonable time even by professional mathematical programming software tools. Several model-size reduction techniques are therefore proposed for the solution of large-scale networks. In particular, methods are proposed for (i) reducing the connectivity within a biomass supply chain network by setting the maximum allowable distance between the supply zones to the collection centres, (ii) eliminating unnecessary variables and constrains to reduce the zero-flows in the full model, and (iii) aggregating the network and hence the synthesis process by merging the collection centres.
The network synthesis is also carried out by P-graph (Process Graph) tools. P-graph is a directed bipartite graph, having two types of vertices — one for operating units and another for those objects representing material or energy flows/quantities. In this procedure, firstly a maximum feasible superstructure for biomass production network is generated from which the optimal structure is then selected by the Branch and Bound method. This graph-based method clearly shows where, how, and what kind of material and energy carriers will be transferred from one supply chain layer to another.
In order to test the efficiency of the model, a small regional renewable network problem was solved using both methods. Their performances were tested and the results confirmed the applicability on a regional scale. The proposed model-size reduction techniques were also tested. A large-scale regional case study was created to demonstrate these techniques. The results are very positive and some suggestions for future work are given in the conclusion. Ključne besede: Biomass and bioenergy network synthesis, Model-size reduction
techniques, Mathematical Programming, MILP, P-Graph Objavljeno v DKUM: 06.01.2011; Ogledov: 3246; Prenosov: 120
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