A Greedy Randomized Adaptive Search for Solving Chance-Constrained U-Shaped Assembly Line Balancing Problem

A Greedy Randomized Adaptive Search for Solving Chance-Constrained U-Shaped Assembly Line Balancing Problem

Mohammad Zakaraia, Hegazy Zaher, Naglaa Ragaa
Copyright: © 2022 |Pages: 18
DOI: 10.4018/IJAMC.298310
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Abstract

This paper discusses the U-shaped assembly line balancing problem in case of stochastic processing time. The problem is formulated using chance-constrained programming and the greedy randomized adaptive search procedure is used to solve the problem. In order to prove the efficiency of the proposed algorithm, 71 problems taken from well-known benchmarks are solved and compared with the theoretical lower bound and 13 of them were compared with another approach used to solve the same problem in another paper, which is beam search. The results show that 59 problems are the same as the theoretical aspiration lower bound. In addition, the results of 11 of 13 problems compared with beam search are the same and the results of 2 problems are better than beam search. The t-test statistics is applied and showed that there is no significance difference between the proposed algorithm and the theoretical lower bound thus, the proposed algorithm shows efficiency when compared with the aspired values of the theoretical lower bound.
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2. Literature Review

This section shows some information about the previous work in the U-shaped assembly line balancing problem. The problem was first presented by Miltenburg and Wijngaard (1994), where they developed a dynamic programming approach based on a heuristic to solve the problem. Ajenblit and Wainwright (1998) developed a genetic algorithm to minimize the number of stations. Nakade and Ohno (1999) solved the problem by using a heuristic approach. Their paper handled multi objectives, where they minimized the cycle time and the number of assigned workers. Erel et al. (2001) developed a simulated annealing approach to minimize the number of stations of the problem. Gökçen et al. (2005) solved the problem by using the shortest route approach, where they sought to minimize the number of stations. Gökçen and Aǧpak (2006) used a multi-criteria decision-making approach for achieving several conflicting goals.

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