This paper applies the multi-time window traveling salesman problem to not only optimize logistics cost, but also effectively endow users with multiple discrete idle optional time periods meet requirements of just-in-time production. In process solving, firstly, dynamic penalty factor is introduced into objective function and added relax constraints in order construct relaxation model. Secondly...

We investigate traveling wave solutions to a class of dispersive models – the θ-equation of the form ut − utxx + uux = θuuxxx + (1− θ)uxuxx, including two integrable equations, the Camassa-Holm equation (θ = 1/3) and the Degasperis-Procesi equation(θ = 1/4) as special models. When 0 ≤ θ ≤ 1 2 , strong solutions of the θ-equation may blow-up in finite time, correspondingly, the traveling wave so...

In this paper, we consider the spatial dynamics for a non-cooperative diffusion system arising from epidermal wound healing. We shall establish the spreading speed and existence of traveling waves and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. We also construct some new types of entire solutions which are different from the travel...