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All Journal Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri
Muhammad Akbar
Bandung Institute of Technology
Industrial & Manufacturing Engineering

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A Dual Resource Constrained Unrelated Parallel Machine Scheduling Model Considering Tardiness and Workload Balance Karina Amanda Larasati; Sukoyo Sukoyo; Muhammad Akbar
Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Vol. 26 No. 2 (2024): December 2024
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/jti.26.2.87-102

Abstract

The proposed study pertains to Multi-Task Simultaneous Supervision Dual Resource Constrained (MTSSDRC), which considers minimizing tardiness and workload balance. The workload balance is calculated using the Workload Smoothness Index (WSI). Additionally, the research concentrates on unrelated parallel machine schedules as they reflect the actual industry conditions in practice. This issue employs three methodologies: Mixed-Integer Linear Programming (MILP), Mixed-Integer Quadratic Problem (MIQP), and Mixed-Integer Quadratically Constrained Programming (MIQCP).  The results in the MILP model focus on the value of total tardiness so that the results obtained have a smaller total tardiness value. However, it is still uncertain that the WSI value is better because no boundaries have been set between the two objective functions to achieve optimal values in the MILP model. The MIQP model focuses on the Workload Smoothness Index (WSI) value to give a limit to the total tardiness objective function. Limit values ​​are obtained from MILP model values, and the resulting WSI value becomes smaller. Moreover, the MIQCP model focuses on the total tardiness value and has limits in the form of permitted WSI. This model produces a small WSI value in accordance with the specified WSI limits while adjusting the specified total tardiness.
Multi-Task Simultaneous Supervision: Dual Resource-Constrained Scheduling Problem in Identical Parallel Machines Considering Differences in Operator Skill Levels Afifah Rizka; Sukoyo Sukoyo; Muhammad Akbar
Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Vol. 26 No. 2 (2024): December 2024
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/jti.26.2.119-130

Abstract

This paper focuses on developing a Multi-Task Simultaneous Supervision Dual Resource-Constrained Scheduling (MTSSDRC) system that considers differences in skill between operators, aiming to minimize makespan and balance operator workload. Workload balance is calculated using the Workload Smoothness Index (WSI). The mathematical model developed uses three techniques: Mixed-Integer Linear Programming (MILP), Mixed-Integer Quadratic Programming (MIQP), and Mixed-Integer Quadratically Constrained Programming (MIQCP). These techniques can handle scheduling cases on a small to medium scale. Results from MILP focus on minimizing makespan, with an additional constraint for calculating the WSI. MIQP focuses on workload balance so that the WSI value becomes an objective function. It also adds a constraint for the allowable makespan value. The result from MIQP shows that the WSI value is lower than in MILP, and the makespan values are equal to the MILP makespan value. Next, MIQCP aims to minimize makespan with a constraint for the allowable WSI value. The MIQCP model produces a makespan value adjusted to a WSI value close to zero. Finally, further analysis is presented regarding the influence of differences in operator skills based on the results of the three models. Based on these models, operators with better skills will be assigned more frequently than others.
Co-Authors Afifah Rizka Karina Amanda Larasati Sukoyo Sukoyo