We present a hyperbolic-elliptic model problem related to the equations of two-phase fluid flow. The model problem is solved numerically, and properties of its solution are presented. The model equation is wellposed when linearized around a constant state, but there is a strong focusing effect, and very large solutions exists at certain times. We prove that the model problem has a smooth soluti...

The classical vehicle routing problem (VRP) can be extended by including customers who want to send goods to the depot. This type of VRP is called the vehicle routing problem with pickups and deliveries (VRPPD). This study proposes a novel way to solve VRPPD by introducing a two-phase heuristic routing algorithm which consists of a clustering phase and uses the geometrical center of a cluster a...

This paper studies truck scheduling in a resource-constrained crossdock. The problem decides on the sequence of incoming and outgoing trucks at the dock doors of the crossdocking terminal, subject to the availability of crossdock resources including dock doors and material handling systems. The resources are assumed non-preemptive making it necessary to address the feasibility of the problem be...

In this paper we introduce a two phase hyper-heuristic search method for solving the Eternity II puzzle. Eternity II is a challenging money prized edge matching puzzle. Solving the puzzle has been shown to be NP-complete [2]. Hyper-heuristics [1] are a recent trend in heuristic algorithms. They tend to be more general methods than meta-heuristics for solving optimization problems. Hyper-heurist...