This paper considers the control wafers safety inventory problem (CWSIP) in the wafer fabrication photolithography area. The objective is to minimize the total cost of control wafers, where the cost includes new wafer...
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This paper considers the control wafers safety inventory problem (CWSIP) in the wafer fabrication photolithography area. The objective is to minimize the total cost of control wafers, where the cost includes new wafers cost, re-entrant cost and holding cost while maintaining the same level of production throughput. For the problem under pulling control production environment, a nonlinear programming model is presented to set safety inventory levels so as to minimize total cost of control wafers. A numerical example is given to illustrate the practicality of the model. The results demonstrate that the proposed model is an effective tool for determining the service level of safety inventory of control wafers for each grade.
The new technologies, such as soft open points (SOPs) and demand response (DR), offer original approaches to stabilize the system operation and accommodate the high penetration of distributed generators (DGs). However...
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The new technologies, such as soft open points (SOPs) and demand response (DR), offer original approaches to stabilize the system operation and accommodate the high penetration of distributed generators (DGs). However, the applied effects of these technologies are closely affected by the uncertainties of the consumer's willingness and the outputs of DGs. To solve the problems caused by the uncertainty of the resources in active distribution system, this paper proposes a distributionally robust co-optimization model for the demand side resources and SOPs, which realizes the combination of investment economy and operation robustness. Next, using equivalent substitution and polyhedron linearization technique, this paper proposes the mathematical method which transforms the original non-linear programmingmodel into a mixed-integer linear programmingmodel, and obtains the solution to the distributionally robust model with column and constraint generation (CCG) algorithm. Finally, the effectiveness of the proposed model is verified with the sample from a power distribution system in northern China. The result demonstrates that the co-optimization model can realize complementary advantages of the demand side resources and SOPs, which can not only guarantee the economy of scheme, but also improve the accommodation of DGs.
A physical-based numerical algorithm using Kirchhoff circuit is detailed for modelling the free vibration of moderate thick symmetrically laminated plates based on the first order shear deformation theory (FSDT). With...
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A physical-based numerical algorithm using Kirchhoff circuit is detailed for modelling the free vibration of moderate thick symmetrically laminated plates based on the first order shear deformation theory (FSDT). With the help of multidimensional passivity of analog circuit and nonlinear optimization solvers, the philosophy gives rise to a nonlinearprogramming (NLP) model that can apply further to explore stability characteristics and optimum performance of the resultant multidimensional wave digital filtering network representing the FSDT plate. Various optimization methods exploiting gradient-based and direct search methods are adopted with efficient broad search power to tackle the NLP model. As a result, the necessary Courant-Friedrichs-Levy stability criterion can be fully satisfied at all time with least restriction on the spatially discretized geometry of the scattering problem. With full stability guaranteed, the waveform is analyzed by the power cepstrum for spectra peaks detection, which has led to more accurate estimate of various vibration effects in predicting nature frequencies with different fiber orientations, stacking sequences, stiffness ratios and boundary conditions. These results have shown in excellent agreement with early published works based on the finite element solutions of the high-order shear deformation theory and other well known numerical techniques.
This paper addresses the optimization of geothermal energy-powered seawater desalination systems. A nonlinear optimization mathematical model was implemented into General Algebraic modelling System (GAMS). The model e...
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This paper addresses the optimization of geothermal energy-powered seawater desalination systems. A nonlinear optimization mathematical model was implemented into General Algebraic modelling System (GAMS). The model embeds many candidate configurations for optimization, which result from the combination of the following subsystems: a single flash (SFGP) or double flash (DFGP) geothermal power plants, a multi-effect distillation (MED) process or a reverse osmosis (RO) system for freshwater pro-duction. Also, an energy recovery turbine (ERT) is embedded. The minimization of the total annual cost of the process represents the objective function. The proposed model is a powerful decision-making tool for selecting the optimal configuration of the integrated process, sizes, and operating conditions to meet the demands of electricity and freshwater desired by users. It was found that for fixed 70 MW electricity generation and low freshwater demands (720-2880 m(3)/h), the optimal configuration is SFGP/MED. For high freshwater demands (4320-5040 m(3)/h), the optimal configuration is DFGP/MED/RO. For inter-mediate freshwater demand (3600 m(3)/h), an optimal transition configuration is in between the two previous configurations, i.e., SFGP/MED/RO/ERT. It is highlighted that the model can be used to simulate fixed configurations if no degrees of freedom are available. (C) 2022 Elsevier Ltd. All rights reserved.
Lee and Chen (Fuzzy Sets and Systems 119 (2001) 205) introduced a generalized fuzzy linear regression model and proposed a nonlinear programming model to identify the fuzzy parameters and their vagueness for the gener...
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Lee and Chen (Fuzzy Sets and Systems 119 (2001) 205) introduced a generalized fuzzy linear regression model and proposed a nonlinear programming model to identify the fuzzy parameters and their vagueness for the generalized regression model. In this note, we show that the proposed nonlinear programming model is invalid. (C) 2003 Elsevier B.V. All rights reserved.
Limitations to the bandwidth of wireless links has motivated the development of adaptive multimedia services where the bandwidth of a call can be dynamically adjusted. A threshold-type call admission control algorithm...
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Limitations to the bandwidth of wireless links has motivated the development of adaptive multimedia services where the bandwidth of a call can be dynamically adjusted. A threshold-type call admission control algorithm is proposed for quality of service provisioning;a nonlinear programming model is formulated for determining the optimal threshold values.
The recent years witnessed a sharp drop in China's demographic dividend;therefore, some reform measures about China's fertility policy have been adopted to optimize population structures and to maintain demogr...
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The recent years witnessed a sharp drop in China's demographic dividend;therefore, some reform measures about China's fertility policy have been adopted to optimize population structures and to maintain demographic dividend. However, our simulation results reveal that the new two-child fertility policy cannot effectively deal with population ageing, and that China's fertility policy needs further adjustment. Specifically, we find that the new two-child fertility policy will deteriorate demographic dividend before 2050, through combination of simulation results and formula derivation. Aiming to stabilize demographic dividend at ideal range all the time, we build nonlinear integer programmingmodel to propose an appropriate reforming path for China's fertility policy. Then, we simulate and compare demographic developments under the proposed reforming path with those under three possible fertility policies: one-child, two-child and no fertility restriction, verifying that the proposed reforming path has better performance on stabilizing demographic dividend than these three fertility policies have. Finally, sensitivity analysis of upper bound of research interval is conducted to evaluate the effect of the upper bound on proposed reforming path. Based on these results, we suggest that China should continue to execute current strict fertility policy before 2032, then begin to relax it gradually especially during 2036-2041, and completely cancel fertility policy after 2065.
This paper presents a mathematical approach to formulating a problem in the allocation of manpower for the Monterey County Area of the California Highway Patrol (CHP). The technique employed is to formulate the man- p...
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This paper presents a mathematical approach to formulating a problem in the allocation of manpower for the Monterey County Area of the California Highway Patrol (CHP). The technique employed is to formulate the man- power allocation problem of the CHP as a nonlinear pro- gramming problem. The problem turns out to be separable, and the Mathematical programming System/360 for the IBM 360 computer is subsequently used. This project was undertaken with the cooperation of the CHP.
This paper focuses on the problems of optimal operation of battery energy storage systems (BESSs) in distributed networks from a nonlinearprogramming (NLP) point of view. This proposal contains the active and reactiv...
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This paper focuses on the problems of optimal operation of battery energy storage systems (BESSs) in distributed networks from a nonlinearprogramming (NLP) point of view. This proposal contains the active and reactive power capabilities of the voltage source converters that interface with the BESS independently, which implies that the BESSs have the possibility to work as dynamic energy compensators over all the four quadrants. Two radial distribution networks have been used to validate the proposed NLP model. This model has been arrived at by using the general algebraic modeling system (GAMS) optimization package. Artificial neural networks (ANN) are also employed for short-term forecasting of renewable generation based on wind and photo-voltaic sources. Numerical results show that the inclusion of reactive power capabilities of batteries reduces the daily operational cost of the network as compared to the classical unity power factor operation approach. All the simulations are made considering Colombian utility typical curves. (c) 2020 Elsevier Ltd. All rights reserved.
This research investigated the use of reclaimed rubber (RR) from waste tires to partially replace the rubber compound (RC) when making wood fiber-rubber composites (WRCs). Ninety panels of WRC containing RR were manuf...
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This research investigated the use of reclaimed rubber (RR) from waste tires to partially replace the rubber compound (RC) when making wood fiber-rubber composites (WRCs). Ninety panels of WRC containing RR were manufactured with RR contents of 0% to 40%, mixing times of 6 min to 14 min, and vulcanizing temperatures of 150 degrees C to 170 degrees C. There were three steps, which were the fiber-rubber mixing, tabletting, and vulcanization molding processes. Four regression equations for the tensile strength, elongation at break, hardness, and rebound resilience as functions of the RR content, mixing time, and vulcanizing temperature were derived, and a nonlinear programming model was developed to obtain the optimum panel properties. It was found that when the RR content was within 20%, the wood fibers were well encapsulated and embedded in the RC/RR blends, and the processability of the WRCs were improved by adding RR. The incorporation of RR into the WRCs increased the average tensile strength and hardness by 33.9% and 2.3%, respectively, while the swelling ratio in toluene and 24-h water absorption were reduced by 13% and 42%, respectively.
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