The two-group heuristic to solve the multi-product, economic lot sizing and scheduling problem in flow shops
This paper presents a new and efficient heuristic to solve the multi-product, economic lot sizing and scheduling problem in flow shops. The problem addressed is that of making sequencing, lot sizing and scheduling decisions for a number of products so as to minimize the sum of setup costs, work-in-p...
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Published in | European journal of operational research Vol. 129; no. 3; pp. 539 - 554 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
16.03.2001
Elsevier Elsevier Sequoia S.A |
Series | European Journal of Operational Research |
Subjects | |
Online Access | Get full text |
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Summary: | This paper presents a new and efficient heuristic to solve the multi-product, economic lot sizing and scheduling problem in flow shops. The problem addressed is that of making sequencing, lot sizing and scheduling decisions for a number of products so as to minimize the sum of setup costs, work-in-process inventory holding costs and final-products inventory holding costs while a given demand is fulfilled without backlogging. The proposed heuristic, called the two-group method (TG), assumes that the cycle time of each product is an integer multiple of a basic period and restricts these multiples to take either the value 1 or
K where
K is a positive integer. The products to be produced once each
K basic period are then partitioned into
K sub-groups and each sub-group is assigned to one and only one of the
K basic periods of the global cycle. This method first determines a value for
K and a feasible partition. Then, a production sequence is determined for each sub-group of products and a non-linear program is solved to determine lot sizes and a feasible schedule. We also show how to adapt our method to the case of batch streaming (transportation of sub-batches from one machine to the next). To evaluate its performance, the TG method was compared to both the common cycle method and a reinforced version of El-Najdawi’s job-splitting heuristic. Numerical results show that the TG method outperforms both of these methods. |
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ISSN: | 0377-2217 1872-6860 |
DOI: | 10.1016/S0377-2217(99)00466-X |