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arXiv · 1708.04127

A branch, price and remember algorithm for the U shaped assembly line balancing problem

Abdolmajid Yolmeh·Najmeh Salehi
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Abstract

In this paper we propose a branch, price and remember algorithm to solve the U shaped assembly line balancing problem. Our proposed algorithm uses a column generation approach to obtain tight lower bounds for this problem. It also stores generated columns in memory to enhance the speed of column generation approach. We also develop a modification of Hoffman algorithm to obtain high quality upper bounds. Our computational results show that our proposed algorithm is able to optimally solve 255 of Scholl's well-known 269 benchmark problems. Previous best known exact algorithm, ULINO, is able to solve 233 of the 269 benchmark problems. We also examined our algorithm on a new data set and the results show that our algorithm is able to solve 96.48 percent of all available benchmark problems.

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Abdolmajid Yolmeh, Najmeh Salehi. 2017-08-14. A branch, price and remember algorithm for the U shaped assembly line balancing problem. https://arxiv.org/abs/1708.04127

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