On an Application of Generalized Semi-Infinite Optimization

In case of considerable traffic congestion in an airport, transportation of passengers to city centre may become a challenging task, since airports are generally located far from the centre. In this study, transportation of passengers, who arrive at an airport, to the city centre has been handled. A mathematical model has been developed, which minimises total costs arising from both, the time passed, while passengers are waiting for a vehicle, and the dispatching of a significant amount of vehicles for transporting the passengers. By utilising the proposed model, in addition to matter of when to dispatch, it is also possible to specify which type of vehicles, and how many of them should be dispatched at each time interval. Ultimately, it is reported that such a plan has a great potential to enhance the productivity.

Section: Literature Reviewmentioning

confidence: 99%

A Mathematical Model for Transporting the Arriving Passengers from the Airport to the City Centre

Akıncılar

2017

“…This ensures that optimization is always an interesting research topic for scientists [1][2][3][4]. In the literature, several efficient methods have been put forward to obtain the minimizing point of these problems.…”

Section: Introductionmentioning

confidence: 99%

Conformable Fractional Gradient Based Dynamic System for Constrained Optimization Problem

Evirgen

2017

A conformable fractional gradient based dynamic system with a steepest descent direction is proposed in this paper for a class of nonlinear programming problems. The solutions of the dynamic system, modelled with the conformable fractional derivative are investigated to obtain the minimizing point of the optimization problem. For this purpose, we use a step variational iteration method, adapted to use a conformable integral definition. Numerical simulations and comparisons show that the conformable fractional gradient based dynamic system is both feasible and efficient for a certain class of equality constrained optimization problems. Furthermore, the step variational iteration method, combined with the conformable integral definition, is a reliable tool for solving a system of fractional differential equations.

“…Numerous commonly encountered problems in modern science and technology involve a type of optimization problem, and optimization is thus an attractive research area for many scientists in various disciplines [1][2][3][4]. In the literature, several efficient methods have been discussed for finding the feasible best solution to these problems.…”

Section: Introductionmentioning

confidence: 99%

Solution of a Class of Optimization Problems Based on Hyperbolic Penalty Dynamic Framework

Evirgen

2017

In this study, a gradient-based dynamic system is constructed in order to solve a certain class of optimization problems. For this purpose, the hyperbolic penalty function is used. Firstly, the constrained optimization problem is replaced with an equivalent unconstrained optimization problem via the hyperbolic penalty function. Thereafter, the nonlinear dynamic model is defined by using the derivative of the unconstrained optimization problem with respect to decision variables. To solve the resulting differential system, a steepest descent search technique is used. Finally, some numerical examples are presented for illustrating the performance of the nonlinear hyperbolic penalty dynamic system.