Abstract:With the continuous development of hydropower stations, the capacities and the heads of hydro generator units are increasing, and the plant vibration problem is becoming more and more serious. A numerical simulation method for the vibration reduction control of magnetorheological (MR) dampers suitable for large-scale complex structures was proposed. The method is simple and easy to implement, and the semiactive control of the MR damper could be achieved by adjusting the current switch and size. On the basis of… Show more
“…[12] It can even be used to solve problems like using mathematical optimization to determine the optimal layout of a dining room during the era of COVID-19 [13] , within the intended span of a metro station, address the layout planning of a public bicycle system [14] or even improve the damping effect of the MR damper. [15] However, no article to date has been done on optimal stands locations for the Macau Food Festival. Therefore, the purpose of this study was to optimize the booth layout of the Macau food Festival, with which 140 booths were allocated among 200 possible locations, by approaching through minimizing Coublumb electrostatic potential energy while treating the stand popularity as the effective charge (EffQ), which was acquired by questionnaire survey and data analysis, where we classified booths into more popular ones with higher values of EffQ and less popular ones with lower EffQs.…”
We proposed a mathematical model for designing the layout diagram of stand locations at the Macao Food Festival. The optimal layout diagram may be defined in such a way that, while requiring the distance between every pair of stands should not be too far away from each other, the crowd control is well managed so that people may patronize stands more effectively. More popular stands may have larger patronage, resulting in higher pedestrian flow nearby. Therefore, to avoid customers from gathering together around more popular stands, we may treat every stand as a charged particle carrying an effective charge: the more popular a stand is, the higher the effective charge it carries. Under this assumption, the problem is then converted to the minimization problem of Coulomb electrostatic potential energy on a specific configuration of charge locations, with which the global minimum may be found by the Simulated Annealing and Metropolis Algorithm. We also concluded that computation time required to obtain the optimal configuration of stand locations may be irrelevant to the randomly generated initial locations of stands.
“…[12] It can even be used to solve problems like using mathematical optimization to determine the optimal layout of a dining room during the era of COVID-19 [13] , within the intended span of a metro station, address the layout planning of a public bicycle system [14] or even improve the damping effect of the MR damper. [15] However, no article to date has been done on optimal stands locations for the Macau Food Festival. Therefore, the purpose of this study was to optimize the booth layout of the Macau food Festival, with which 140 booths were allocated among 200 possible locations, by approaching through minimizing Coublumb electrostatic potential energy while treating the stand popularity as the effective charge (EffQ), which was acquired by questionnaire survey and data analysis, where we classified booths into more popular ones with higher values of EffQ and less popular ones with lower EffQs.…”
We proposed a mathematical model for designing the layout diagram of stand locations at the Macao Food Festival. The optimal layout diagram may be defined in such a way that, while requiring the distance between every pair of stands should not be too far away from each other, the crowd control is well managed so that people may patronize stands more effectively. More popular stands may have larger patronage, resulting in higher pedestrian flow nearby. Therefore, to avoid customers from gathering together around more popular stands, we may treat every stand as a charged particle carrying an effective charge: the more popular a stand is, the higher the effective charge it carries. Under this assumption, the problem is then converted to the minimization problem of Coulomb electrostatic potential energy on a specific configuration of charge locations, with which the global minimum may be found by the Simulated Annealing and Metropolis Algorithm. We also concluded that computation time required to obtain the optimal configuration of stand locations may be irrelevant to the randomly generated initial locations of stands.
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