The Bidding Strategy Research of Radio Spectrum User Auction Based on the Partial Distribution

2013 ◽  
Vol 411-414 ◽  
pp. 850-855 ◽  
Author(s):  
Xiao Yu Wan ◽  
Bo Liu
Keyword(s):  
Numerical Solutions ◽  
Radio Spectrum ◽  
Equilibrium Analysis ◽  
Bidding Strategy ◽  
Central Tendency ◽  
Spectrum Auction ◽  
Telecommunication Operation ◽  
Fluctuation Amplitude ◽  
Incentive Equilibrium ◽  
Partial Distribution

In the spectrum auction, bidding strategy of telecommunication operation enterprise is very important. Considing the telecommunication operation enterprise how to choose the optimal bidding strategy as the train of thought. According to the spectrum of value distribution characteristics to the enterprise, using incomplete information static game theory to construct the operating enterprise bidding game model based on the partial distribution, and obtained model’s Nash equilibrium through the simulation with numerical solutions of the form. At the same time, the equilibrium analysis found: enterprise’s valuation central tendency or fluctuation can positive motivate its equilibrium bid; Along with the enterprise central tendency of valuation and fluctuation amplitude of valuation increasing ceaselessly, increasing unit valuation incentive equilibrium bid increment continuously increase.

Rotational Response and Slip Prediction of Serpentine Belt Drive Systems

1994 ◽  
Vol 116 (1) ◽  
pp. 71-78 ◽  
Author(s):  
S.-J. Hwang ◽  
N. C. Perkins ◽  
A. G. Ulsoy ◽  
R. J. Meckstroth
Keyword(s):  
Numerical Solutions ◽  
Equations Of Motion ◽  
Operating Conditions ◽  
Equilibrium Analysis ◽  
Belt Drive ◽  
Theoretical Predictions ◽  
Serpentine Belt ◽  
Drive Systems ◽  
Nonlinear Equations Of Motion ◽  
Rotational Response

A nonlinear model is developed which describes the rotational response of automotive serpentine belt drive systems. Serpentine drives utilize a single (long) belt to drive all engine accessories from the crankshaft. An equilibrium analysis leads to a closed-form procedure for determining steady-state tensions in each belt span. The equations of motion are linearized about the equilibrium state and rotational mode vibration characteristics are determined from the eigenvalue problem governing free response. Numerical solutions of the nonlinear equations of motion indicate that, under certain engine operating conditions, the dynamic tension fluctuations may be sufficient to cause the belt to slip on particular accessory pulleys. Experimental measurements of dynamic response are in good agreement with theoretical results and confirm theoretical predictions of system vibration, tension fluctuations, and slip.

Rotational Response and Slip Prediction of Serpentine Belt Drive Systems

1993 ◽  
Author(s):  
S. J. Hwang ◽  
N. C. Perkins ◽  
A. G. Ulsoy ◽  
R. J. Meckstroth
Keyword(s):  
Numerical Solutions ◽  
Equations Of Motion ◽  
Operating Conditions ◽  
Equilibrium Analysis ◽  
Belt Drive ◽  
Theoretical Predictions ◽  
Serpentine Belt ◽  
Drive Systems ◽  
Nonlinear Equations Of Motion ◽  
Rotational Response

Abstract A nonlinear model is developed which describes the rotational response of automotive serpentine belt drive systems. Serpentine drives utilize a single (long) belt to drive all engine accessories from the crankshaft. An equilibrium analysis leads to a closed-form procedure for determining steady-state tensions in each, belt span. The equations of motion are linearized about the equilibrium state and rotational mode vibration characteristics are determined from the eigenvalue problem governing free response. Numerical solutions of the nonlinear equations of motion indicate that, under certain engine operating conditions, the dynamic tension fluctuations may be sufficient to cause the belt to slip on particular accessory pulleys. Experimental measurements of dynamic response are in good agreement with theoretical results and confirm theoretical predictions of system vibration, tension fluctuations, and slip.

scholarly journals System of Time Fractional Models for COVID-19: Modeling, Analysis and Solutions

2021 ◽  
Author(s):  
Olaniyi Samuel Iyiola ◽  
Bismark Oduro ◽  
Trevor Zabilowicz ◽  
Bose Iyiola ◽  
Daniel Kenes
Keyword(s):  
Fractional Order ◽  
Recovery Rate ◽  
Death Rate ◽  
Numerical Solutions ◽  
Equilibrium Analysis ◽  
Complex Nature ◽  
Contact Rate ◽  
Uniqueness Of Solutions ◽  
Effective Contact ◽  
Proposed Model

The emergence of the COVID-19 outbreak has caused a pandemic situation in over 210 countries. Controlling the spread of this disease has proven difficult despite several resources employed. Millions of hospitalization and deaths have been observed, and thousands of cases daily with many measures in place. Due to the complex nature of COVID-19, we proposed a system of time-fractional equations to understand the transmission of the disease better. Nonlocality involved in the model has made fractional differential equations appropriate for modeling the behavior. However, solving these types of models is computationally demanding. Our proposed generalized compartmental COVID-19 model incorporates effective contact rate, transition rate (from exposed quarantine and recovered to susceptible and infected quarantined individuals), quarantine rate, disease-induced death rate, natural death rate, natural recovery rate, recovery rate of quarantine infected for a holistic study of the coronavirus disease. A detailed analysis of the proposed model is carried out, including the existence and uniqueness of solutions, local and global stability analysis of the disease-free equilibrium analysis, and sensitivity analysis. Furthermore, numerical solutions of the proposed model are obtained with the generalized Adam-Bashforth-Moulton method developed for the fractional order model. Our analysis and solutions profile show that each of these incorporated parameters is very important in controlling the spread of COVID-19, especially quarantining exposed and infected individuals and the effective contact rate. Based on the results with different fractional order, we observe that there seems to be a third or even fourth wave of the spike in cases of COVID-19, which is what is happening right now in many countries.

Atomic Imaging of Crystals using Large-Angle Electron Scattering in STEM

1990 ◽  
Vol 48 (1) ◽  
pp. 74-75
Author(s):  
D.E. Jesson ◽  
S. J. Pennycook
Keyword(s):  
Wave Function ◽  
Electron Scattering ◽  
Numerical Solutions ◽  
Large Angle ◽  
Real Space ◽  
High Angle ◽  
Analytical Treatment ◽  
Order Zero ◽  
Experimental Conditions ◽  
Ewald Sphere

It is well known that conventional atomic resolution electron microscopy is a coherent imaging process best interpreted in reciprocal space using contrast transfer function theory. This is because the equivalent real space interpretation involving a convolution between the exit face wave function and the instrumental response is difficult to visualize. Furthermore, the crystal wave function is not simply related to the projected crystal potential, except under a very restrictive set of experimental conditions, making image simulation an essential part of image interpretation. In this paper we present a different conceptual approach to the atomic imaging of crystals based on incoherent imaging theory. Using a real-space analysis of electron scattering to a high-angle annular detector, it is shown how the STEM imaging process can be partitioned into components parallel and perpendicular to the relevant low index zone-axis.It has become customary to describe STEM imaging using the analytical treatment developed by Cowley. However, the convenient assumption of a phase object (which neglects the curvature of the Ewald sphere) fails rapidly for large scattering angles, even in very thin crystals. Thus, to avoid unpredictive numerical solutions, it would seem more appropriate to apply pseudo-kinematic theory to the treatment of the weak high angle signal. Diffraction to medium order zero-layer reflections is most important compared with thermal diffuse scattering in very thin crystals (<5nm). The electron wave function ψ(R,z) at a depth z and transverse coordinate R due to a phase aberrated surface probe function P(R-RO) located at RO is then well described by the channeling approximation;

The Central Tendency of Judgment.

1911 ◽  
Vol 8 (6) ◽  
pp. 220-220
Author(s):  
F. M. Urban
Keyword(s):  
Central Tendency
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