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Approximation algorithms for simple assembly line balancing problems

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  • Santiago Valdés Ravelo

    (Federal University of Rio Grande do Sul)

Abstract

This work considers the three main optimization variants of the Simple Assembly Line Balancing problem (SALBP): SALBP-1, SALBP-2 and SALBP-E. These problems have origin in typical industrial production processes, where, to obtain a final product, partially ordered operations must be processed in workstations connected by a transportation equipment. Each version determines a different objective to be optimized: SALBP-1 focuses on minimizing the number of workstations while maintaining a certain production rate, SALBP-2 tries to maximize the production rate with a bounded number of workstations, and SALBP-E attempts to maximize the line efficiency. These problems are NP-hard and have been largely studied in the literature, however, the results on their approximability are scarce. This work approaches SALBP-1, SALBP-2 and SALBP-E, proving an equivalence on approximating in polynomial time SALBP-2 and a generalization of SALBP-E, and proposing very efficient polynomial time 2-approximation algorithms for each one of these three versions of SALBP.

Suggested Citation

  • Santiago Valdés Ravelo, 2022. "Approximation algorithms for simple assembly line balancing problems," Journal of Combinatorial Optimization, Springer, vol. 43(2), pages 432-443, March.
    • Handle: RePEc:spr:jcomop:v:43:y:2022:i:2:d:10.1007_s10878-021-00778-2
    DOI: 10.1007/s10878-021-00778-2
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    References listed on IDEAS

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