Planning and scheduling are activities of major economic importance. Among various planning and scheduling problems, this paper focuses on the scheduling of crude oil and petroleum derivatives in ports: the jetty sche...
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ISBN:
(纸本)9780816910229
Planning and scheduling are activities of major economic importance. Among various planning and scheduling problems, this paper focuses on the scheduling of crude oil and petroleum derivatives in ports: the jetty scheduling problem. The problem has combinatorial (allocation, sorting) and nonlinear (product blending) aspects, and multi-objective goals (minimization of different costs). We consider problems composed by tankers, tanks, pipelines, and jetties. Simulation models have been used as basis for this formulation. Moreover, real-life instances of the problem are of large scale and, if one wants to solve them in the daily operation of a harbor, they must be solved within minutes in common computer stations. This article proposes an original approach based on a continuous nonlinear optimal control model, without integer (binary) decision variables, which can reduce the problem's size. Numerical experiments are presented using efficient NLP methods, such as LSGRG2, MINOS, and SNOPT.
The dynamic optimization of a heating process for plastic sheet production is modeled. The formulation is based on the representation of the one-directional heating process taking place in this system, and includes ki...
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This paper presents the utilization of SISCON, a the software package meant to be utilised in the evaluation of optimal decisions for large scale systems. The large scale systems have generally a complex structure and...
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We present design methodologies for globally optimizing the topologies of Delta-Sigma modulators. The design task is cast into a generally nonconvex signomial programming problem. Convexiflcation strategies are presen...
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This paper proposes a new DOA (direction of arrival) estimation method based on circular microphone array. For an arbitrary number of microphones, it is analytically shown that DOA estimation reduces to an efficient n...
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The problems concerned in this paper are a class of constrained min-max problems. By introducing the Lagrange multipliers to the linearconstraints, such problems can be solved by some projection type prediction-correc...
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The problems concerned in this paper are a class of constrained min-max problems. By introducing the Lagrange multipliers to the linearconstraints, such problems can be solved by some projection type prediction-correction methods. However, to obtain components of the predictor one by one, we use an alternating direction method. And then the new iterate is generated by a minor correction. Global convergence of the proposed method is proved. Finally, numerical results for a constrained single-facility location problem are provided to verify that the new method is effective for some practical problems.
We present a constrained nonlinear optimization approach to the estimation of hemodynamic response (HR) shape from fMRI images. The controlled random search (CRS) based strategy limits the HR parameters within a physi...
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It has recently been shown that the feedback solution to linear and quadratic constrained Model Predictive Control (MPC) problems has an explicit representation as a piecewise linear (PWL) state feedback. For nonlinea...
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ISBN:
(纸本)9783540726982
It has recently been shown that the feedback solution to linear and quadratic constrained Model Predictive Control (MPC) problems has an explicit representation as a piecewise linear (PWL) state feedback. For nonlinear MPC the prospects of explicit solutions are even higher than for linear MPC, since the benefits of computational efficiency and verifiability are even more important. Preliminary studies on approximate explicit PWL solutions of convex nonlinear MPC problems, based on multi-parametric nonlinear programming (mp-NLP) ideas show that sub-optimal PWL controllers of practical complexity can indeed be computed off-line. However, for non-convex problems there is a need to investigate practical computational methods that not necessarily lead to guaranteed properties, but when combined with verification and analysis methods will give a practical tool for development and implementation of explicit NMPC. The present paper focuses on the development of such methods. As a case study, the application of the developed approaches to compressor surge control is considered.
A mathematical optimal model is developed to address the problem of logistics hubs *** method integrates nonlinear programming models and fuzzy comprehensive evaluation,and handles both quantitative and qualitative fa...
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A mathematical optimal model is developed to address the problem of logistics hubs *** method integrates nonlinear programming models and fuzzy comprehensive evaluation,and handles both quantitative and qualitative factors that influence the location of logistics hubs.A mathematical programming model is used to find the optimal candidate sites of the logistics hub based on profit-maximizing *** a fuzzy comprehensive evaluation method is adopted to determine the final optimal location of those candidate sites by taking account of criteria including stability of policy environment,convenience of transportation(e.g.,easy access to highways/expressways,etc.),rationality of economy,competition and ***,the methodology is demonstrated by a case study of the Transfar Logistics Base in Zhejiang *** results verify the method application for logistics hub locations and show how to locate a logistics hub in practice from the case of Transfar Logistics Base.
Inequality constraints were handled with the similar method as their equality counterparts in Lagrange multiplier method, while the multipliers associated with inequality constraints were written as a positive definit...
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Inequality constraints were handled with the similar method as their equality counterparts in Lagrange multiplier method, while the multipliers associated with inequality constraints were written as a positive definite function of the originally-defined multipliers. Based on this, a new Lagrange multiplier method is proposed and its convergence rigorously analyzed. The underlying mechanism that leads to the algorithmic convergence is uncovered, and some measures for relaxing the convergence conditions and enlarging the attractive domain are discussed by the LaSalle invariance principle. The result showed that the algorithm attained optimal solution both by stable and unstable factors.
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