the inventory routing problem (irp) arises in the context of vendor-managed systems. this problem addresses jointly solving an inventory management problem and a vehicle routing problem. in this paper, we consider a multi-depot multi-vehicle inventory routing problem in which suppliers produce one type of product to be delivered to customers during a finite time horizon. we propose a two-phase ...

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Optimal control (motion planning) of the free interface in classical two-phase Stefan problems is considered. The evolution of the free interface is modeled by a level set function. The first-order optimality system is derived on a formal basis. It provides gradient information based on the adjoint temperature and adjoint level set function. Suitable discretization schemes for the forward and a...

We extend a meshless method of fundamental solutions recently proposed by the authors for the one-dimensional two-phase nverse linear Stefan problem, to the nonlinear case. In this latter situation the free surface is also considered unknown which is ore realistic from the practical point of view. Building on the earlier work, the solution is approximated in each phase by a linear ombination of...

In this paper, the solution of one-phase inverse Stefan problem is presented. The problem consists of the reconstruction of the function which describes the distribution of temperature on the boundary, when the position of the moving interface is well-known. The proposed solution is based on the Adomian decomposition method and the least square method. (~) 2006 Elsevier Ltd. All rights reserved...