An Evolutionary Procedure for a Bi-Objective Assembly Line Balancing Problem

An assembly line is a manufacturing process commonly used in the production of commodity goods. The assembly process is divided into elementary tasks that are sequentially performed at serially arranged workstations. Among the various challenges that must be addressed during the design and operation of an assembly line, the assembly line balancing problem involves the assignment of tasks to different workstations. In its simplest form, this problem aims to distribute assembly operations among the workstations efficiently. An efficient line is one that optimizes a specific objective function, usually associated with maximizing throughput or minimizing resource requirements. In this study, we adopt a bi-objective approach to find a Pareto set of efficient solutions balancing throughput and resource requirements. To address this problem, we propose a multi-objective evolutionary method, complemented by single- and multi-objective local search procedures that leverage a polynomially solvable case of the problem. We then compare the results of these methods, including their hybridizations, through a computational experiment demonstrating the ability to achieve high-quality solutions.

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Journal
Mathematics
Published
2025-10-20
DOI
https://doi.org/10.3390/math13203336
Primary Topic
Assembly Line Balancing Optimization
Type
article
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article

An Evolutionary Procedure for a Bi-Objective Assembly Line Balancing Problem

Jordi Pereira, Mariona Vilà
Mathematics
Assembly Line Balancing Optimization
article

An Evolutionary Procedure for a Bi-Objective Assembly Line Balancing Problem

Jordi Pereira, Mariona Vilà
article en

Abstract

An assembly line is a manufacturing process commonly used in the production of commodity goods. The assembly process is divided into elementary tasks that are sequentially performed at serially arranged workstations. Among the various challenges that must be addressed during the design and operation of an assembly line, the assembly line balancing problem involves the assignment of tasks to different workstations. In its simplest form, this problem aims to distribute assembly operations among the workstations efficiently. An efficient line is one that optimizes a specific objective function, usually associated with maximizing throughput or minimizing resource requirements. In this study, we adopt a bi-objective approach to find a Pareto set of efficient solutions balancing throughput and resource requirements. To address this problem, we propose a multi-objective evolutionary method, complemented by single- and multi-objective local search procedures that leverage a polynomially solvable case of the problem. We then compare the results of these methods, including their hybridizations, through a computational experiment demonstrating the ability to achieve high-quality solutions.

MathematicsVol. 13(20)
Institute for Sustainability (GB), EAE Business School (ES)
Openalex Percentile: Top 58%
Assembly Line Balancing Optimization
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An Evolutionary Procedure for a Bi-Objective Assembly Line Balancing Problem — Jordi Pereira, Mariona Vilà · Mathematics (2025) | TGRS Research Map | TGRS