1. Energy saving and modifications in the methanol process, using the NLP model optimizationAnita Kovač Kralj, Peter Glavič, 2006, objavljeni znanstveni prispevek na konferenci Opis: The opportunities for additional profit depend very much on the existing plant and energy system. Heat and power integration can reduce fuel usage in chemical processes. Nonlinear programming contains equations which enable structural and parametric optimization. The NLP model is formulated using an optimum energy target of process integration and electricity generation using a gas turbine with separator. The reactor acts as a combustion chamber of the gas turbine plant, producing a lot of energy. The simultaneous NLP approach can account for capital cost, integration of combined heat and power, process modification and additional production of tradeoffs, and can thus yield a better solution. The combined production of electricity, heat and chemical products can lead to better process efficiency. The methanol plant was optimized using a mathematical nonlinear programming model by including an additional flowrate of hydrogen in crude methanol recycle and increasing the methanol production by 2,5%. The electricity can be generated in methanol recycle using a gas turbine. The total additional profit is 2,5 MEUR/a. Ključne besede: chemical engineering, methanol production, simultaneous process optimization, nonlinear programming, cogeneration, product increase Objavljeno: 30.05.2012; Ogledov: 1421; Prenosov: 12 Povezava na celotno besedilo 
2. CO2 separation from purge gas and flue gas in the methanol process, using NLP model optimizationAnita Kovač Kralj, Peter Glavič, 2007, izvirni znanstveni članek Opis: The concentration of CO2 in the atmosphere has to be stabilized, requiring a reduction in current emission rates in existing plants. This will be done by reducing the environmental burden imposed in such areas as materials input andCO2 emission reduction and using cleaner production, resources, and energy recycling. Any opportunities for emission reduction and CO2 reuse largely depend on existing plant and energy systems. CO2 can be separated from the outlet stream (purge gas) and from flue gas by a membrane or absorption system(absorber and regenerator) or adsorption system and reused as a reactantin a reactor system. Therefore, product yield can be increased and CO2emissions reduced, simultaneously. CO2 emissions can be reduced at the source. The authors of this paper studied CO2 reuse in a methanol process, in which electricity can be generated using an open gas turbine, followed by a separator. Simultaneous optimization of a process structure and its parametersusing simplified nonlinear programming (NLP) ensures an additional annual profit, influenced by reusing the flow rate of CO2. The additional electricity cogeneration and additional flow rates of the raw material could generate an additional profit of 2.79 MEUR/a. Ključne besede: chemical processing, methanol production, optimization, nonlinear programming, CO2 emissions, CO2 reuse Objavljeno: 31.05.2012; Ogledov: 1185; Prenosov: 44 Povezava na celotno besedilo 
3. H2 separation and use in fuel cells and CO2 separation and reuse as a reactant in the existing methanol processAnita Kovač Kralj, Peter Glavič, 2007, izvirni znanstveni članek Opis: Fuelcell efficiencies yield substantial reductions in the emissions of climatechange gases and promise an end to exclusive reliance on carbon fuels for energy. Fuel cells, CO2 reuse, process heat integration, and open gas turbine electricity cogeneration can be optimized simultaneously, using a nonlinear programming (NLP) algorithm. The simplified NLP model contains equations of structural and parametric optimization. This NLP model is used tooptimize complex and energyintensive continuous processes. This procedure does not guarantee a global cost optimum, but it does lead to good, perhaps nearoptimum, designs. The plant, which produces methanol, has a surplus of hydrogen (H2) and CO2 flow rates in purge gas. H2 is separated from the purge gas by an existing pressure swing adsorption (PSA) column. Pure H2 can be usedas fuel in fuel cells. CO2 can be separated from the outlet stream (purge gas) by a membrane or absorption system (absorber and regenerator) or an adsorption system and reused as a reactant in a reactor system. Therefore, theproduct yield can be increased and CO2 emissions can be reduced, simultaneously. CO2 emissions can then be reduced at the source. The retrofitted process can be operated within existing parameters. Using a methanol process as a case study, the CO2 emission flow rate can be reduced by4800 t/a. The additional electricity cogeneration in the gas turbine and in fuel cells and additional flow rates of the raw material could generate an additional profit of 2.54 MEUR/a. Ključne besede: chemical processing, methanol production, optimization, nonlinear programming, CO2 reuse, fuel cells, heat integration, energy cogeneration Objavljeno: 31.05.2012; Ogledov: 1525; Prenosov: 39 Povezava na celotno besedilo 
4. MINLP optimization of a singlestorey industrial steel buildingTomaž Žula, Zdravko Kravanja, Stojan Kravanja, 2008, izvirni znanstveni članek Opis: The paper presents the topology and standard sizes optimization of a singlestorey industrial steel building, made from standard hot rolled I sections. The structure consists of main portal frames, connected with purlins. The structural optimization is performed by the MixedInteger Nonlinear programming approach (MINLP). The MINLP performs a discrete topology and standard dimension optimization simultaneously with continuous parameters. Since the discrete/continuous optimization problem of the industrial building is nonconvex and highly nonlinear, the Modified Outer Approximation/EqualityRelaxation (OA/ER) algorithm has been used for the optimization. Alongside the optimum structure mass, the optimum topology with the optimum number of portal frames and purlins as well as all standard crosssection sizes have been obtained. The paper includes the theoretical basis and a practical example with the results of the optimization. Ključne besede: civil engineering, topology optimization, sizing optimization, nonlinear programming, MINLP Objavljeno: 31.05.2012; Ogledov: 1296; Prenosov: 30 Povezava na celotno besedilo 
5. Cost optimal project schedulingUroš Klanšek, Mirko Pšunder, 2008, izvirni znanstveni članek Opis: This paper presents the cost optimal project scheduling. The optimization was performed by the nonlinear programming approach, NLP The nonlinear total project cost objective function is subjected to the rigorous system of the activity preceden ce relationship constraints, the activity duration constraints and the project duration constraints. The set of activity precedence relationship constraints was defined to comprise FinishtoStart, StarttoStart, StarttoFinish and FinishtoFinish precedence relationships between activities. The activity duration constraints determine relationships between minimum, maximum and possible duration of the project activities. The project duration constraints define the maximum feasible project duration. A numerical example is presented at the end of the paper in order to present the applicability of the proposed approach. Ključne besede: project management, scheduling, optimization, nonlinear programming, NLP Objavljeno: 10.07.2015; Ogledov: 600; Prenosov: 148 Celotno besedilo (444,81 KB) Gradivo ima več datotek! Več...

6. Mixedinteger nonlinear programming based optimal time scheduling of construction projects under nonconvex costsRok Cajzek, Uroš Klanšek, 2016, izvirni znanstveni članek Opis: Optimal project scheduling under nonconvex timecost relations represents a challenging problem in construction management. The nonconvex timecost relations may appear in a construction project when several different duration options are available for its activities due to alternative technological processes enabled for their realization or wide accessibility of production resources. The source of nonconvexity of the project scheduling optimization problem can also be the project penalty or bonusduration relations arranged within the construction contract. The aim of this paper is to present the mixedinteger nonlinear programming (MINLP) based optimal time scheduling of construction projects under nonconvex costs. For this purpose, the MINLP model was developed and applied. A numerical example from literature and an example of construction project timecost tradeoff analysis under practical nonconvex penalty function are given in the paper to demonstrate advantages of MINLP optimization. The example from literature first presented the capability of the MINLP approach to obtain the optimal solution for difficult, highly combinatorial nonconvex discrete project scheduling problem. Thereupon, the following example revealed that the optimal project timecost curve may take very nonuniform shape on account of discrete nature of activity direct cost options and nonconvex relation between project duration and total cost. In this way, the presented study intends to provide practitioners with new information from the field of optimization techniques for project scheduling as well as an alternative view on performance of total cost when project duration is changed. Ključne besede: extreme environments, construction management, discrete optimization, mixedinteger nonlinear programming, nonconvex costs, time scheduling Objavljeno: 12.07.2017; Ogledov: 294; Prenosov: 187 Celotno besedilo (807,33 KB) Gradivo ima več datotek! Več...

7. Design optimization for symmetrical gravity retaining wallsErol Sadoğlu, 2014, izvirni znanstveni članek Opis: The optimization for symmetrical gravity retaining walls of different heights is examined in this study. For this purpose, an optimization problem of continuous functions is developed. The continuous functions are the objective function defined as the crosssectional area of the wall and the constraint functions derived from external stability and internal stability verifications. The verifications are listed as the overturning, the forward sliding, the bearing capacity, the shears in the stem and the bendings in the stem. The heights of the walls are selected as 2.0, 3.0, and 4.0 m in order to investigate the outline of the optimum crosssection and the effect of the wall height on the outline. Additionally, the physical and mechanical properties of the soil are kept constant in order to compare only the effect of the height on the geometry. The upper and lower bounds of the solution space are specified to be as wide as possible and the minimum dimensions suggested for the gravity retaining walls are not taken into account. A common feature of the optimum crosssections of walls with different heights is to have a very wide lower part like a wall foundation and a slender stem. However, other than the forward sliding constraint, the bending constraints are active at the optimum values of the variables. Ključne besede: gravity retaining wall, nonlinear optimization, continuous variables, interior point method Objavljeno: 14.06.2018; Ogledov: 163; Prenosov: 24 Celotno besedilo (168,77 KB) Gradivo ima več datotek! Več...

8. A practical method for the optimal design of continuous footing using antcolony optimizationBoonchai Ukritchon, Suraparb Keawsawasvong, 2016, izvirni znanstveni članek Opis: The objective of this paper is to present a practical method for the optimal design of a continuous footing subjected to vertical and horizontal loads. The design problem of finding the optimal size of footing as well as the minimum steel reinforcement is formulated in a nonlinear minimization form. The continuous footing is subjected to the vertical and horizontal loads acting on the top of the column. There are four design variables in the design problem, i.e., the width of the footing, the thickness of the footing, the soilembedment depth, and the amount of steel reinforcement. The required geotechnical constraints include the bearing capacity, overturning, as well as global sliding and local sliding at the footing corners. Shortterm stability and longterm stability are considered simultaneously in the same formulation. The structural constraints are enforced to control the shear force and bending moment within the section resistance. The formulation of the problem’s constraints leads to the nonlinear programming, whose objective function is to minimize the total cost of the footing material, including the concrete and steel reinforcement. The optimal solution is solved using the antcolony optimization algorithm MIDACO. The proposed optimization method is demonstrated through the actual design of the footing for supporting a large machine moving on rails. Ključne besede: optimal design, footing, stability, nonlinear programming, antcolony optimization Objavljeno: 18.06.2018; Ogledov: 153; Prenosov: 17 Celotno besedilo (446,51 KB) Gradivo ima več datotek! Več...
