Multi-Objective Mechanism Design Using a Bi-Level Game Theoretic Formulation

2014 ◽  
Author(s):  
Ehsan Ghotbi
Keyword(s):  
High Speed ◽  
Dynamic Performance ◽  
Peak Torque ◽  
Computational Procedure ◽  
Theoretic Approach ◽  
Multi Objective ◽  
Design Variables ◽  
Structural Error ◽  
Game Theoretic ◽  
Dynamic Criteria

This paper considers the design of a high speed mechanism as a multi objective optimization problem wherein the kinematic and dynamic criteria are optimized simultaneously. The kinematic criteria include minimization of the structural error and a minimization of deviation of the transmission angle from its ideal value. The dynamic criterion used is minimization of the peak torque required to drive the input link over a cycle. A Stackelberg (leader-follower) game theoretic approach is proposed to solve the multiobjective problem. Three variants, wherein both the kinematic and the dynamic criteria are treated as the leader, are considered. The design variables are the mechanism dimensions. A computational procedure using sensitivity information is proposed for approximating rational reaction sets needed for capturing exchange of information between the leader and the follower problems. A numerical example dealing with the design of a path generating 4-bar mechanism is presented. It is shown that significant improvement in both kinematic and dynamic performance measures is simultaneously achieved using the proposed approach.

Optimum Design of High-Speed 4-Bar Mechanisms Using a Bi-Level Game Theoretic Approach

2012 ◽  
Author(s):  
Ehsan Ghotbi ◽  
Anoop K. Dhingra
Keyword(s):  
High Speed ◽  
Computational Procedure ◽  
Theoretic Approach ◽  
Design Variables ◽  
Structural Error ◽  
Transmission Angle ◽  
Game Theoretic ◽  
Driving Torque ◽  
Game Theoretic Approach ◽  
Dynamic Criteria

This paper considers the design of a high speed mechanism as a multi objective optimization problem wherein the kinematic and dynamic criteria are optimized simultaneously. The kinematic criteria include minimization of the structural error and a minimization of deviation of the transmission angle from its ideal value. The dynamic criteria include minimization of input driving torque and shaking forces transmitted to the ground link. A Stackelberg (leader-follower) game theoretic approach is proposed to solve the multiobjective problem. Two variants, wherein both the kinematic and the dynamic criteria are treated as the leader, are considered. The design variables include mechanism dimensions and counterweight parameters. A partitioning of the design variables amongst the leader and follower objective functions is discussed. A computational procedure using sensitivity information is used for approximating rational reaction sets needed for capturing exchange of information between the leader and the follower problems. A numerical example dealing with the design of a path generating 4-bar mechanism is presented.

scholarly journals Congestion Analysis through a Game Theoretic Approach in ABR of High speed Network

2011 ◽  
Vol 3 (6) ◽  
pp. 84-86
Author(s):  
Annapurna V. K Annapurna V. K ◽  
◽  
Dr. C. Vidya Raj Dr. C. Vidya Raj
Keyword(s):  
High Speed ◽  
Theoretic Approach ◽  
High Speed Network ◽  
Game Theoretic ◽  
Game Theoretic Approach

Analyzing Intercity Modal Choice and Competition Between High Speed Rail (HSR) and Other Transport Modes in Indian Context

2016 ◽  
pp. 146-160
Author(s):  
Ashish Verma ◽  
Varun Raturi
Keyword(s):  
High Speed ◽  
Mode Choice ◽  
Transport Infrastructure ◽  
Infrastructure Investment ◽  
Theoretic Approach ◽  
Choice Modelling ◽  
Choice Behaviour ◽  
High Speed Rail ◽  
Game Theoretic ◽  
Game Theoretic Approach

In this study, a theoretical framework is developed in order to assess the viability of transport infrastructure investment in the form of High Speed Rail (HSR) by assessing, the mode choice behaviour of the passengers and the strategies of the operators, in the hypothetical scenario. Discrete choice modelling (DCM) integrated with a game theoretic approach is used to model this dynamic market scenario. DCM is incorporated to predict the mode choice behaviour of the passengers in the new scenario and the change in the existing market equilibrium and strategies of the operators due to the entry of the new mode is analysed using the game theoretic approach. The outcome of this market game will describe the strategies for operators corresponding to Nash equilibrium. In conclusion, the impact of introduction of HSR is assessed in terms of social welfare by analysing the mode choice behaviour and strategic decision making of the operators, thus reflecting on the economic viability of the transport infrastructure investment.

scholarly journals Analyzing Inter-modal Competition between High Speed Rail and Conventional Transport Systems: A Game Theoretic Approach

2013 ◽  
Vol 104 ◽  
pp. 904-913 ◽  
Author(s):  
Varun Raturi ◽  
Karthik Srinivasan ◽  
Gunjan Narulkar ◽  
Ashwini Chandrashekharaiah ◽  
Ankur Gupta
Keyword(s):  
High Speed ◽  
Transport Systems ◽  
Theoretic Approach ◽  
High Speed Rail ◽  
Game Theoretic ◽  
Game Theoretic Approach

scholarly journals A Study of Multi-Objective Aerodynamic Optimization Design for Variable Camber Airfoils and High Lift Devices

2018 ◽  
Vol 36 (1) ◽  
pp. 83-90
Author(s):  
Wangyi Zhou ◽  
Junqiang Bai ◽  
Lei Qiao ◽  
Yasong Qiu ◽  
Rui Liu ◽  
...  
Keyword(s):  
High Speed ◽  
Optimization Design ◽  
Deflection Angle ◽  
Aerodynamic Optimization ◽  
Aerodynamic Forces ◽  
High Lift ◽  
Low Speed ◽  
Multi Objective ◽  
Multi Objective Genetic Algorithm ◽  
Design Variables

Aiming at the synthetical optimization of the aerodynamic performance between the low-speed condition of two-dimensional high lift devices during take-off and landing phase and the high-speed condition of variable camber airfoil during cruise phase, an aerodynamic optimization design method for high lift device based on Kriging based surrogate model and multi-objective genetic algorithm has been developed. With the application of Adaptive Dropped Hinge Flap mechanism, the low-speed take-off and landing performance and high-speed cruise performance of the aircraft is improved by coupling deflection of the flap and spoiler. The position of flap hinge, deflection angle of spoiler and deflection angle of flap are taken as design variables; The Navier-Stokes equations are used to predict the aerodynamic forces of initial samples; The Kriging based surrogate model is employed to establish the algebraic relation between design variables and aerodynamic forces at take off, landing and cruise, obtaining four efficient prediction models for aerodynamic forces; Multi-objective optimization design with multi-objective genetic algorithm is conducted on the basis of surrogate models. The automatic generation of computational grid is achieved by the mesh deformation method based on RBF (Radial Basis Function) when the design variables change. On the basis of efficient global multi-objective optimization design platform, the synthetical optimization of high-speed and low-speed aerodynamic performance is conducted; The multi-objective solution set of the Pareto frontier is verified and analyzed, and the optimal solution with well matched high and low speed performance is selected.

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