Production and delivery scheduling problem with delivery times and costs dependent on batch-size
by Olivier Grunder; Zakaria Hammoudan; Abdellah El Moudni
International Journal of Logistics Systems and Management (IJLSM), Vol. 24, No. 3, 2016

Abstract: In this paper, we study a real-industrial case of an integrated lot sizing and delivery scheduling problem with multi-capacitated transporters, distinct due dates considerations and batch-size-dependent delivery times and costs. The objective is to find a coordinated lot sizing and scheduling scheme so that the total cost is minimised while guaranteeing a certain service level at the manufacturers. A mathematical formulation of the problem is given as a nonlinear model in a general way. We prove dominance properties among the solutions of the problem and propose two solving methods. The first one is a generalised dynamic programming scheme to solve this problem in the case of homogeneous and heterogeneous transporters, and the second one is a mixed integer programming formulation proposed to evaluate the performance of the dynamic programming method. Computational experiments show that the proposed approach is very efficient for solving from small to medium-sized instances, especially for the identical transporter case.

Online publication date: Mon, 06-Jun-2016

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