We study the small vibrations of an axially travelling string with a dashpot damping at one end. The is modelled by wave equation in time-dependent interval two endpoints moving constant speed v. For undamped case, we obtain conserved functional equivalent to energy solution. derive precise upper and lower exponentially decaying estimates for explicit constants. These do not seem be reported li...

This paper contains a qualitative study of a scalar conservation law with viscosity: ut + f(u)x = uxx . We consider the problem of identifying the location of viscous shocks, thus obtaining an optimal finite dimensional description of solutions to the viscous conservation law. We introduce a nonlinear functional whose minimizers yield the viscous travelling profiles which “optimally fit” the gi...

The paper includes an analysis of passengers’ preferences in the context selected marketing activities conducted by leading railway companies operating passenger transport sector Poland. Operators’ offers are highly varied, which may make it difficult to find benefits expected passenger. Basing on earlier research, main categories covered operators’ classic include time and cost journey, and, l...

Current information available to the tourists visiting Hong Kong seems to be abundant and fragmented. Usually, individual tourists tend to plan their itinerary well ahead they arrive, either through tourist guide or online information sources (e.g. existing itinerary planning websites). With the enhancement of information technology, it is expected that online itinerary planning would be a comp...

A solid travelling salesman problem (STSP) is a travelling salesman problem (TSP) where the salesman visits all the cities only once in his tour using dierent conveyances to travel from one city to another. Costs and environmental eect factors for travelling between the cities using dierent conveyances are dierent. Goal of the problem is to nd a complete tour with minimum cost that damages the ...

Dissimilar joint with good quality and mechanical properties is one of the major problems the industries. One of the most commonly used methods to solve this problem is friction stir welding process. In this paper two different tool pin with simple cylindrical and screwed profile were used to finding optimization of friction stir welding parameters to reach best mixing flow, composite structure...

Travelling-wave solutions of the standard and compound form of Kortewegde Vries-Burgers equations are found using factorizations of the corresponding reduced ordinary differential equations. The procedure leads to solutions of Bernoulli equations of nonlinearity 3/2 and 2 (Riccati), respectively. Introducing the initial conditions through an imaginary phase in the travelling coordinate, we obta...

Travelling salesman problem (TSP) is a combinational optimization problem and solution approaches have been applied many real world problems. Pure TSP assumes the cities to visit are fixed in time and thus solutions are created to find shortest path according to these point. But some of the points are canceled to visit in time. If the problem is not time crucial it is not important to determine...