A Novel Cultural Evolution-Based Nomadic Pastoralist Optimization Algorithm (NPOA): The Mathematical Models

2019 ◽  
Author(s):  
Ibrahim M. Abdullahi ◽  
Muhammed B. Mu'azu ◽  
Olayemi M. Olaniyi ◽  
James Agajo
Keyword(s):  
Mathematical Models ◽  
Optimization Algorithm ◽  
Cultural Evolution ◽  
Nomadic Pastoralist

scholarly journals An Improved Whale Algorithm for Setting Standard Scheduled Block Time Based on the Airline Fairness

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Qian Wang ◽  
Yong Tian ◽  
Lili Lin ◽  
Ratnaji Vanga ◽  
Lina Ma
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Optimization Algorithm ◽  
Whale Optimization Algorithm ◽  
Civil Aviation ◽  
Convergence Factor ◽  
Suggested Approach ◽  
Whale Optimization ◽  
Block Time ◽  
Better Than

Standard scheduled flight block time (SBT) setting is of great concern for Civil Aviation Administration of China (CAAC) and airlines in China. However, the standard scheduled flight block times are set in the form of on-site meetings in practice and current literature has not provided any efficient mathematical models to calculate the flight block times fairly among the airlines. The objective of this paper is to develop and solve a mathematical model for standard SBT setting with consideration of both fairness and reliability. We use whale optimization algorithm (WOA) and an improved version of the whale optimization algorithm (IWOA) to solve the SBT setting problem. A novel nonlinear update equation of convergence factor for random iterations is used in place of the original linear one in the proposed IWOA algorithm. Experimental results show that the suggested approach is effective, and IWOA performs better than WOA in the concerned problem, whose solutions are better compared to the flight block times released by CAAC. In particular, it is interesting to find that MSE, RMSE, MAE, MAPE and Theil of the reliability in 60%–70% range are always the smallest and the average fairness of airlines is better than that of 60%–75% range. The model and solving approach presented in this article have great potential to be applied by CAAC to determine the standard SBTs strategically.

scholarly journals Modelling the evolution and diversity of cumulative culture

2011 ◽  
Vol 366 (1563) ◽  
pp. 412-423 ◽  
Author(s):  
Magnus Enquist ◽  
Stefano Ghirlanda ◽  
Kimmo Eriksson
Keyword(s):  
Characteristic Feature ◽  
Cultural Diversity ◽  
Mathematical Models ◽  
Cultural Evolution ◽  
Cumulative Culture ◽  
Cultural Elements ◽  
Modelling Framework ◽  
Current State ◽  
Cumulative Processes ◽  
Stochastic Events

Previous work on mathematical models of cultural evolution has mainly focused on the diffusion of simple cultural elements. However, a characteristic feature of human cultural evolution is the seemingly limitless appearance of new and increasingly complex cultural elements. Here, we develop a general modelling framework to study such cumulative processes, in which we assume that the appearance and disappearance of cultural elements are stochastic events that depend on the current state of culture. Five scenarios are explored: evolution of independent cultural elements, stepwise modification of elements, differentiation or combination of elements and systems of cultural elements. As one application of our framework, we study the evolution of cultural diversity (in time as well as between groups).

An Optimization Algorithm for a Class of Mathematical Model in Mechanical Engineering

2010 ◽  
Vol 26-28 ◽  
pp. 813-816
Author(s):  
Jing Ben Yin ◽  
Jie Sheng Yan ◽  
Ying Feng Zhao ◽  
Hong Wei Jiao
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Branch And Bound ◽  
Optimization Algorithm ◽  
Mechanical Engineering ◽  
Original Problem ◽  
Relaxation Method ◽  
Linear Relaxation ◽  
Equivalent Problem ◽  
Numerical Examples

In this paper, we develop an algorithm to globally solve a class of mathematical models in system engineering. Firstly, by utilizing equivalent problem and linear relaxation method, a linear relaxation programming of original problem is established. Secondly, by using branch and bound technique, a determined branch and bound algorithm is proposed for globally solving original problem. Finally, the convergence of the proposed algorithm is given and numerical examples showed that the presented algorithm is feasible.

Conclusions

2013 ◽  
Author(s):  
William Hoppitt ◽  
Kevin N. Laland
Keyword(s):  
Social Learning ◽  
Mathematical Models ◽  
Learning Strategies ◽  
Cultural Evolution ◽  
Learning Mechanisms ◽  
Diffusion Data ◽  
History Of ◽  
Learning Research ◽  
Key Terms ◽  
Social Learning Strategies

This concluding chapter summarizes the different social learning concepts and methods explored in the book, beginning with definitions of some key terms such as social learning, social transmission, imitation, and innovation. The book has discussed the history of social learning research, methods for studying social learning in the laboratory, social learning mechanisms, statistical methods for diffusion data, repertoire-based data, and developmental approaches. It has also examined social learning strategies and some of the mathematical models that can be applied to investigate social learning, cultural evolution, and gene-culture coevolution. A key emphasis throughout the book has been that mathematical and statistical modeling is at its most powerful when tightly integrated with empirical research.

Deconvolution of superimposed DTA/DSC peaks using the simplex algorithm

1993 ◽  
Vol 8 (3) ◽  
pp. 675-679 ◽  
Author(s):  
Robert F. Speyer
Keyword(s):  
Experimental Data ◽  
Computer Program ◽  
Mathematical Models ◽  
Optimization Algorithm ◽  
Numerical Optimization ◽  
Simplex Algorithm ◽  
First Order ◽  
Squared Error ◽  
Model Equations ◽  
Best Fit

Mathematical models emulating DSC/DTA traces of fusion and first-order decomposition were developed. A computer program is described that uses the simplex numerical optimization algorithm to determine the coefficients for the model equations that best fit experimental data, by the criterion of least-squared error. Use of the program permitted deconvolution of various superimposed endotherms.

Slotting Optimization Algorithm of the Stereo Warehouse

2013 ◽  
Vol 756-759 ◽  
pp. 1371-1376
Author(s):  
Jun Hui Wu ◽  
Tong Di Qin ◽  
Jie Chen ◽  
Hui Ping Si ◽  
Kai Yan Lin ◽  
...  
Keyword(s):  
Genetic Algorithms ◽  
Mathematical Models ◽  
Optimization Algorithm ◽  
Retrieval System ◽  
Storage And Retrieval ◽  
Simulation Calculation ◽  
Optimization Simulation ◽  
Optimization Management ◽  
Automated Storage ◽  
The Stability

In order to solve the problem of slotting optimization management with automated storage and retrieval system (AS / RS), the genetic algorithms of the slotting optimization process with stereo warehouse were discussed. The process of the slotting optimization was designed by the real-number coding. The mathematical models of the slotting optimization and cargo shipping time were built, and the simulation calculation of the models was done. The stability of the shelf and the efficiency of the accessing goods were significantly improved by the optimization simulation of the distribution of cargo space, after optimizing the storage order. The algorithms of the slotting optimization with stereo warehouse could effectively enhance the frequency of the stock in & out, increasing the revenue.

THE IMPORTANCE OF SPACE IN MODELS OF SOCIAL LEARNING, CULTURAL EVOLUTION AND NICHE CONSTRUCTION

2012 ◽  
Vol 15 (01n02) ◽  
pp. 1150001 ◽  
Author(s):  
LAUREL FOGARTY ◽  
LUKE RENDELL ◽  
KEVIN N. LALAND
Keyword(s):  
Social Learning ◽  
Mathematical Models ◽  
Cultural Evolution ◽  
Niche Construction ◽  
Spatial Dynamics ◽  
Spatial Evolution ◽  
Evolutionary Models ◽  
Future Directions

This article focusses on the importance of space in mathematical models of cultural evolution, cooperation, niche construction and social learning. We discuss the benefits of including spacial effects in these evolutionary models and illustrate how the inclusion of space has changed accepted and long-standing results. We also briefly discuss the spatial dynamics of these systems and suggest future directions for research investigating spatial evolution.

Social transmission bias and the cultural evolution of folk-economic beliefs

2018 ◽  
Vol 41 ◽  
Author(s):  
David Hirshleifer ◽  
Siew Hong Teoh
Keyword(s):  
Cultural Evolution ◽  
Social Transmission ◽  
Cognitive Approach ◽  
Economic Problems ◽  
Economic Attitudes ◽  
The Social ◽  
Economic Beliefs ◽  
Over Time

AbstractEvolved dispositions influence, but do not determine, how people think about economic problems. The evolutionary cognitive approach offers important insights but underweights the social transmission of ideas as a level of explanation. The need for asocialexplanation for the evolution of economic attitudes is evidenced, for example, by immense variations in folk-economic beliefs over time and across individuals.

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