Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri
Vol. 28 No. 1 (2026): June 2026

A Multi Objective Parallel Machine Scheduling Model for Bicycle Painting Problem

Dave Charlton Limantara (Industrial Engineering Department, Petra Christian University)
I Gede Agus Widyadana (Department of Industrial Engineering, Petra Christian University)



Article Info

Publish Date
26 Jun 2026

Abstract

This paper addresses the complex multiobjective parallel machine scheduling problem within a bicycle painting department. The painting process is characterized by sequence-dependent setup times driven by frequent color changes and the critical need to align painting output with assembly shop requirements to prevent stock accumulation. The research develops a mathematical model with two primary objectives: minimizing the sequence mismatch between painting and assembly and minimizing total setup time. Unlike prior research, this study simultaneously addresses sequence-dependent setups caused by color changes, the management of multiple parallel paint lines within daily capacity limits, and the critical requirement that painting output matches the input sequence needed for assembly. Given the NP-hard nature of the problem, a Genetic Algorithm (GA) method is proposed to solve the problem. Other methods such as Ant Colony Optimization (ACO), Particle Swarm Optimization (PSO), and Variable Neighborhood Search (VNS), are used to compare with the GA. The methods are evaluated using real-world data from a bicycle company. Results indicate that VNS outperforms GA for the objective value. The objective value score of VNS is 91.23% compared to the Genetic Algorithm 86.72%. However, the GA runtimes are significantly faster, five times better than the VNS.

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Journal Info

Abbrev

ind

Publisher

Subject

Industrial & Manufacturing Engineering

Description

Jurnal Teknik Industri aims to: Promote a comprehensive approach to the application of industrial engineering in industries as well as incorporating viewpoints of different disciplines in industrial engineering. Strengthen academic exchange with other institutions. Encourage scientist, practicing ...