Abstract
Abstract In this paper, we address a specific multi-item capacitated lot-sizing and delivery scheduling problem in a whole linear supply chain which consists of several supply links under just in time setting. The main problem is in fact the sum of two sub problems: a lot sizing problem and a scheduling problem. The order of demand comes from the customer in the last supply link, and it goes backwards until it reaches to the supplier in the first supply link. There is a single-stage type manufacturing unit that has to meet a given demand of the customer in every supply link and at the same time only one item can be manufactured. The purpose of this paper is to propose an hybrid approximation method for searching for a production and transportation plan, which meet the customer requests and provides a low global cost for the entire supply chain. At last, some experimental results showing the effectiveness of the method are reported.
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