In this paper we propose a set of guidelines to select a solver for the solution of nonlinear programming problems. With this in mind, we present a comparison of the convergence performances of commonly used solvers f...
详细信息
Offshore wind power generation offers immense potential, but its integration into onshore grids faces significant challenges, particularly in the transmission of high-power capacities over long distances. While AC tra...
详细信息
This paper presents a mathematical model for a photovoltaic hydrogen production system, along with an optimal design study applied to this system. Precise modeling of hydrogen production has proven to be a challenging...
详细信息
This paper presents a mathematical model for a photovoltaic hydrogen production system, along with an optimal design study applied to this system. Precise modeling of hydrogen production has proven to be a challenging task. Based on previous work, a general framework is proposed for battery pack-assisted photovoltaic hydrogen production. Specifically, explicit mathematical expressions are given for the hydrogen production efficiency of the electrolyzer, and a current source model is established for the photovoltaic panels. Regarding the optimal design, a systematic framework is outlined to obtain the optimal strategy by converting the control problem into a boundary value problem, subsequently solved via nonlinear programming. Simulation results show that under the optimal strategy, the battery energy consumption by the photovoltaic hydrogen production system is significantly reduced, while maintaining minimal power consumption operation when the irradiation is insufficient, without the need for frequent start-stop cycles. In addition, the calculation time of the IPOPT solver to find the optimal strategy is discussed, proving its ability to address nonlinear planning problems at a millisecond-level calculation time.
This study proposes an analytical Delta-V approximation of short-timetransfers based on the linear relative motion and a gradient-based nonlinear programming model of multi-target rendezvous and fly by trajectories. I...
详细信息
The minimum norm Lagrange multiplier, as a type of informative Lagrange multiplier, is proposed to replace the classical shadow price when the later fails to exist. This kind of multiplier expresses the rate of cost i...
详细信息
The minimum norm Lagrange multiplier, as a type of informative Lagrange multiplier, is proposed to replace the classical shadow price when the later fails to exist. This kind of multiplier expresses the rate of cost improvement when the right-hand side of the constraints are permitted to slightly violated. However, the minimum norm Lagrange multiplier may fail to be informative in fully parametric optimization problems. In this paper, we extend the classical constraint violation condition to a general formulation, which captures the characteristics of the problem structure of nonlinear parametric programming models. Based on the generalized constraint violation condition, we provide sufficient conditions for the minimum norm Lagrange multiplier to be informative. Furthermore, we propose a kind of penalty function method to derive the informative Lagrange multiplier in fully parametric programming models, which means that the perturbations are not only on the right-hand side of the constraints. Finally, we use examples to support our theoretic results.
The COVID-19 pandemic has caused huge impacts to human health and world's econ-omy. Finding out the balance between social productions and pandemic control becomes crucial. In this paper, we first extend the SIR m...
详细信息
The COVID-19 pandemic has caused huge impacts to human health and world's econ-omy. Finding out the balance between social productions and pandemic control becomes crucial. In this paper, we first extend the SIR model by introducing two new status. We calibrate the model by 2022 Shanghai COVID-19 outbreak. The results shows compared to zero-constraint policy, under our control policy, 50 % more life can be saved at the cost of 2.13 % loss of consumptions. Our results also emphasize the importance of the dynamic nature and the timing of control policy, either a static pandemic control or a lagged pandemic control damages badly to people's livelihood and social productions. Counter factual experiments show that compared to the baseline, when a persistent high-strength control is applied, aggregate productions decreases by 57 %;when pandemic control ends too early, the death would rise by 15 %, when pandemic control starts too late, the death rises by 23 % and aggregate productions decreases by 13 %.
Majority research studies in the literature determine the weighted coefficients of balanced loss function by suggesting some arbitrary values and then conducting comparison study to choose the best. However, this meth...
详细信息
Majority research studies in the literature determine the weighted coefficients of balanced loss function by suggesting some arbitrary values and then conducting comparison study to choose the best. However, this methodology is not efficient because there is no guarantee ensures that one of the chosen values is the best. This encouraged us to look for mathematical method that gives and guarantees the best values of the weighted coefficients. The proposed methodology in this research is to employ the nonlinear programming in determining the weighted coefficients of balanced loss function instead of the unguaranteed old methods. In this research, we consider two balanced loss functions including balanced square error (BSE) loss function and balanced linear exponential (BLINEX) loss function to estimate the parameter and reliability function of inverse Rayleigh distribution (IRD) based on lower record values. Comparisons are made between Bayesian estimators (SE, BSE, LINEX, and BLINEX) and maximum likelihood estimator via Monte Carlo simulation. The evaluation was done based on absolute bias and mean square errors. The outputs of the simulation showed that the balanced linear exponential (BLINEX) loss function has the best performance. Moreover, the simulation verified that the balanced loss functions are always better than corresponding loss function.
In the field of fresh produce retail, vegetables generally have a relatively limited shelf life, and their quality deteriorates with time. Most vegetable varieties, if not sold on the day of delivery, become difficult...
详细信息
In their seminal paper, Hammer, Rosemberg, and Rudeanu present an algebraic approach, the Basic Algorithm (BA), for solving the Unconstrained Binary nonlinear programming Problem (UBNLP). BA sequentially eliminates va...
详细信息
In this paper, we propose a new multiattribute decision making (MADM) method based on the proposed score function (SF) of interval-valued intuitionistic fuzzy values (IVIFVs), the cosine similarity measure of IVIFVs, ...
详细信息
暂无评论