This article deals with two versions of the traveling purchaser problem. In the uncapacitated version, the number of units of a given product available at any market where it is sold is either larger than or equal to the demand. In the capacitated version, the availability may be smaller than the demand. This study extends some known heuristics and presents some new ones capable of solving eith...

In this paper, we study the existence and stability of traveling waves in lattice dynamical systems, in particular, in lattice ordinary di erential equations (lattice ODE's) and in coupled map lattices (CML's). Instead of employing the moving coordinate approach as for partial di erential equations, we construct a local coordinate system around a traveling wave solution of a lattice ODE, analog...

In the single objective period traveling salesman problem (SOPTSP), each of given n cities has to be visited by the traveling salesman a fixed number of times according to some allowable day combinations over a given m day planning period with the objective to minimize the total traveling distance over the whole period. The existing solution methods for the SOPTSP always generate a set of unbal...

We study the distributions of traveling length l and minimal traveling time t(min) through two-dimensional percolation porous media characterized by long-range spatial correlations. We model the dynamics of fluid displacement by the convective movement of tracer particles driven by a pressure difference between two fixed sites ("wells") separated by Euclidean distance r. For strongly correlated...

In this work, the class of nonlinear complex fractional Kundu-Eckhaus equation is presented with a novel truncated M-fractional derivative. This model significant and notable in quantum mechanics good-natured physical characteristics. The motivation for paper to construct new solitary kink wave solutions governing using ansatz method. A complex-fractional transformation applied convert into an ...