A dynamic programming algorithm for the Knapsack Problem with Setup
نویسندگان
چکیده
The Knapsack Problem with Setup (KPS) is a generalization of the classical Knapsack problem (KP), where items are divided into families. An individual item can be selected only if a setup is incurred for the family to which it belongs. This paper provides a dynamic programming (DP) algorithm for the KPS that produces optimal solutions in pseudo-polynomial time. In order to reduce the storage requirements of the algorithm, we adopt a new technique that consists in converting a KPS solution to an integer index. Computational experiments on randomly generated test problems show the efficiency of the DP algorithm compared to the ILOG's commercial product CPLEX 12.5. & 2015 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computers & OR
دوره 64 شماره
صفحات -
تاریخ انتشار 2015