Three-Bar structure optimality criterion using the linear resizing rule

The static analysis of the indeterminate three-bar structure is developed using the Castigliano's first theorem, taking the lengths and inclination angles as variables. Some reductions are applied in the resulting set of equations to approximate them to the references models. From now on, the minimum mass optimization model with restrictions is established. Then, the Optimality Criterion linear resizing optimization rule algorithm for the unbounded and bounded design variables is applied in two numerical cases. The analytical and Matlab Optimization Toolbox results are also obtained and they demonstrate the Optimality Criterion linear resizing rule effectiveness in structural optimization with a minimum mass objective and size restrictions.

Vigor of reactive postural responses is set from feedback and feedforward processes

I explore a distinct perspective from that brought in the book by arguing that in postural control our organism selects the vigor of reactive responses guided by an optimization rule considering first the required postural response for balance recovery as indicated by afferent information from a myriad of sensory receptors, and second the history of previous responses to similar perturbations.

Principles of Genetic Algorithms

This chapter aims to review the fundamentals of genetic algorithms. Consequently, the chapter correspondingly lectures on the dissimilarities between the alteration genetic and evolutionary algorithms. The decision mathematical rules based on the Pareto algorithm are similarly deliberated. The Pareto optimization rule can have a significant role in the examination of the precise position of MH370 vanishing. In this circumstance, the majority of multi-objective optimization algorithms exercise this principle to acquire the non-dominated set of solutions, as a result of the Pareto-front to investigate how MH370 ended up in the Indian Ocean.

Interdependent lotteries and the jackpot model of lottery demand

Bettors may view different gambles either as substitutes or complements. Assuming that the grand prize is the main driver of the demand for multi-prize lottery bets, this paper presents a theory of lottery sales maximization considering possible complementarity or substitutability among different lottery gambles offered by a single operator. Optimal payout ratios are derived accounting not only for interrelation among games but also for their relative popularity. The new profit optimization rule is then applied to a dataset of two Greek lotteries.