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Combinatorial integral approximation
Sager, Sebastian; Jung, Michael; Kirches, Christian - In: Computational Statistics 73 (2011) 3, pp. 363-380
a novel approach that is based on a decomposition of the MINLP into a NLP and a MILP. We discuss the relation of the … MILP solution to the MINLP solution and formulate bounds for the gap between the two, depending on Lipschitz constants and … the control discretization grid size. The MILP solution can also be used for an efficient initialization of the MINLP …
Persistent link: https://www.econbiz.de/10010759143
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Stabilizer-based symmetry breaking constraints for mathematical programs
Liberti, Leo; Ostrowski, James - In: Journal of Global Optimization 60 (2014) 2, pp. 183-194
Mathematical programs whose formulation is symmetric often take a long time to solve using Branch-and-Bound type algorithms, because of the several symmetric optima. A simple technique used in these cases is to adjoin symmetry breaking constraints to the formulation before solving the problem....
Persistent link: https://www.econbiz.de/10010994019
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Bound reduction using pairs of linear inequalities
Belotti, Pietro - In: Journal of Global Optimization 56 (2013) 3, pp. 787-819
functions, used in MINLP and MILP. However, it can also be seen as a special case of optimality based bound reduction, a method …-Source solvers: one for MINLP and one for MILP. We provide computational results which substantiate the usefulness of this bound …We describe a procedure to reduce variable bounds in mixed integer nonlinear programming (MINLP) as well as mixed …
Persistent link: https://www.econbiz.de/10010994103
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Hydrogen distribution in the refinery using mathematical modeling
Kumar, A.; Gautami, G.; Khanam, S. - In: Energy 35 (2010) 9, pp. 3763-3772
The increased requirement of hydrogen in the refinery is fulfilled by proper distribution of available hydrogen in the refinery, using additional hydrogen production system and by importing. Amongst these options first one is cost effective as no addition source is required. Thus, the present...
Persistent link: https://www.econbiz.de/10010811208
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Thermoeconomic optimization of vertical ground-source heat pump systems through nonlinear integer programming
Retkowski, Waldemar; Thöming, Jorg - In: Applied Energy 114 (2014) C, pp. 492-503
a mixed-integer nonlinear programming (MINLP) approach to solve the design problem of a vertical GSHPS is presented. The …
Persistent link: https://www.econbiz.de/10011041321
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ANTIGONE: Algorithms for coNTinuous / Integer Global Optimization of Nonlinear Equations
Misener, Ruth; Floudas, Christodoulos - In: Journal of Global Optimization 59 (2014) 2, pp. 503-526
This manuscript introduces ANTIGONE, Algorithms for coNTinuous/Integer Global Optimization of Nonlinear Equations, a general mixed-integer nonlinear global optimization framework. ANTIGONE is the evolution of the Global Mixed-Integer Quadratic Optimizer, GloMIQO, to general nonconvex terms. The...
Persistent link: https://www.econbiz.de/10010994008
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Optimal distributed energy resources planning in a competitive electricity market: Multiobjective optimization and probabilistic design
Vahidinasab, Vahid - In: Renewable Energy 66 (2014) C, pp. 354-363
This paper presents a probabilistic multiobjective framework for optimal distributed energy resources (DERs) planning in the distribution electricity networks. The proposed model is from the distribution company (DISCO) viewpoint. The projected formulation is based on nonlinear programming (NLP)...
Persistent link: https://www.econbiz.de/10010805265
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Carbon emission reduction targeting through process integration and fuel switching with mathematical modeling
Tiew, B.J.; Shuhaimi, M.; Hashim, H. - In: Applied Energy 92 (2012) C, pp. 686-693
during the design phase, thus potentially generate complex design. This paper introduces an MINLP model for simultaneous CO2 …
Persistent link: https://www.econbiz.de/10010576342
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Integration of sale and leaseback in the optimal design of supply chain networks
Longinidis, Pantelis; Georgiadis, Michael C. - In: Omega 47 (2014) C, pp. 73-89
solvency. This paper aims to enrich the SCN design literature by introducing a Mixed-Integer Non Linear Programming (MINLP …) model that integrates SLB technique with SCN design decisions. By exploiting the properties of the MINLP model it is … reformulated into an exact Mixed-Integer Linear Programming (MILP) model that is solved to global optimality. A real case study …
Persistent link: https://www.econbiz.de/10011051839
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Multi-objective optimal operation strategy study of micro-CCHP system
Wu, Jing-yi; Wang, Jia-long; Li, Sheng - In: Energy 48 (2012) 1, pp. 472-483
As the practical load conditions vary with time, the performance of micro combined cooling heating and power (micro-CCHP) system depends a lot on the operation strategy. So, it is significant to study the system performance and find the optimal operation strategies for various load conditions....
Persistent link: https://www.econbiz.de/10011053658