An Approximation Algorithm for 2-batch Consolidation with Small Items
نویسندگان
چکیده
منابع مشابه
Approximation of k-batch consolidation problem
We consider a problem of minimizing the number of batches of a fixed capacity processing the orders of various sizes on a finite set of items. This batch consolidation problem is motivated by the production system typical in raw material industries in which multiple items can be processed in the same batch in case they share sufficiently close production parameters. If the number of items proce...
متن کاملApproximation of a batch consolidation problem
In batch production systems, multiple items can be processed in the same batch if they share sufficiently similar production parameters. We consider the batch consolidation problem of minimizing the number of batches of a finite set of items. This article focuses on the case in which only one or two items can be processed in a single batch. The problem is NP-hard and cannot be approximated with...
متن کاملApproximation of the k-batch consolidation problem
We consider a problem of minimizing the number of batches of a fixed capacity processing the orders of various sizes on a finite set of items. This batch consolidation problem is motivated by the production system typical in raw material industries in which multiple items can be processed in the same batch if they share sufficiently close production parameters. If the number of items processed ...
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We consider the batch processing of orders where either whole or part of a single order or a specific pair of different orders may be grouped in a batch with a fixed capacity. The problem can be modelled by a graph G = (V, E), where each node v ∈ V corresponds to an order, its weight w(v) corresponds to the amount of ordered quantity and a pair of orders, say u and v may be grouped in a batch i...
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We present a randomized polynomial-time approximation algorithm for the MAX-2-SAT problem in the presence of an extra cardinality constraint which has an asymptotic worst-case ratio of 0.75. This improves upon the previously best approximation ratio 0.6603 which was achieved by Bläser and Manthey [BM]. Our approach is to use a solution obtained from a linear program which we first modify greedi...
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ژورنال
عنوان ژورنال: Journal of the Korean Operations Research and Management Science Society
سال: 2013
ISSN: 1225-1119
DOI: 10.7737/jkorms.2013.38.1.061