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Beldar, P., Fathi, M., Nourmohammadi, A., Delorme, X., Battaïa, O. & Dolgui, A. (2025). Transfer line balancing problem: A comprehensive review, classification, and research avenues. Computers & industrial engineering, 201, Article ID 110913.
Open this publication in new window or tab >>Transfer line balancing problem: A comprehensive review, classification, and research avenues
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2025 (English)In: Computers & industrial engineering, ISSN 0360-8352, E-ISSN 1879-0550, Vol. 201, article id 110913Article in journal (Refereed) Published
Abstract [en]

The Transfer Line Balancing Problem (TLBP) is characterized as the challenge of optimally distributing tasks across various workstations in an automated machining line to ensure its maximum efficiency. This problem holds pivotal importance for industries reliant on high-volume production, such as the automotive and aerospace sectors, where it directly influences the overall productivity and cost efficiency of the manufacturing process. TLBP has been studied for over two decades, and many problem variants and solution approaches have been devised to address real-world challenges. Despite the long history of the topic, no review study exists to shed light on its past, current, and future developments. This study conducted a systematic literature review on TLBP to identify and address the research gaps, focusing on classifying existing studies. A tuple notation classification framework has been introduced to organize TLBP research based on system configuration, problem characteristics, and optimization objectives. This framework offers a structured overview of the field, clarifying the current state of research and highlighting prospective research pathways. Consequently, this review study establishes itself as a foundational guide for academics and industry professionals interested in TLBP studies.

Place, publisher, year, edition, pages
Elsevier, 2025
Keywords
Transfer line, Machining line, Line balancing, Line design, Systematic review
National Category
Production Engineering, Human Work Science and Ergonomics
Research subject
Virtual Production Development (VPD)
Identifiers
urn:nbn:se:his:diva-24888 (URN)10.1016/j.cie.2025.110913 (DOI)001424493200001 ()2-s2.0-85216922674 (Scopus ID)
Projects
ACCURATE 4.0PREFER
Funder
Knowledge Foundation, 20200181Vinnova, 20200181
Note

CC BY 4.0

Available online 29 January 2025, 110913

Corresponding author: masood.fathi@his.se; fathi.masood@gmail.com

The first three authors would like to acknowledge funding from the Knowledge Foundation (KKS) and Sweden’s Innovation Agency through the ACCURATE 4.0 (grant agreement No. 20200181) and PREFER projects, respectively.

Available from: 2025-02-06 Created: 2025-02-06 Last updated: 2025-09-29Bibliographically approved
Beldar, P., Nourmohammadi, A., Fathi, M. & Ng, A. H. C. (2024). A Heuristic Approach for Flexible Transfer Line Balancing Problem. Paper presented at 57th CIRP Conference on Manufacturing Systems 2024 (CMS 2024), 29th to 31st May 2024, Póvoa de Varzim, Portugal. Procedia CIRP, 130, 1144-1149
Open this publication in new window or tab >>A Heuristic Approach for Flexible Transfer Line Balancing Problem
2024 (English)In: Procedia CIRP, E-ISSN 2212-8271, Vol. 130, p. 1144-1149Article in journal (Refereed) Published
Abstract [en]

In the face of global market challenges, manufacturers place a high priority on the improvement of their production system efficiency to sustain their competitive stance. Flexible Transfer Lines (FTLs) stand out for their adaptability, enabled by cutting-edge Computer Numerical Control (CNC) technology, automated transport, and sophisticated control software, allowing for swift adjustments to changes in product specifications. These systems are identified as essential for industries dependent on mass production, such as the automotive and aerospace sectors, where a significant impact on productivity and cost efficiency is seen due to operational efficiency. This study introduces a heuristic approach for balancing FTLs. The heuristic is characterized by uniquely incorporating a broad spectrum of real-world considerations, including equipment-related, time-related, and operational-related characteristics. Through a detailed numerical example, the practical application and effectiveness of the heuristic are demonstrated, showcasing its capacity to produce a feasible solution.

Place, publisher, year, edition, pages
Elsevier, 2024
Keywords
Flexible transfer lines, Machining lines, Balancing, Heuristics
National Category
Production Engineering, Human Work Science and Ergonomics
Research subject
Virtual Production Development (VPD)
Identifiers
urn:nbn:se:his:diva-24743 (URN)10.1016/j.procir.2024.10.219 (DOI)2-s2.0-85213051973 (Scopus ID)
Conference
57th CIRP Conference on Manufacturing Systems 2024 (CMS 2024), 29th to 31st May 2024, Póvoa de Varzim, Portugal
Projects
ACCURATE 4.0PREFER
Note

CC BY-NC-ND 4.0

Corresponding author. Tel.: +46-500-448526. E-mail address: pedram.beldar@his.se

This study was funded by the Knowledge Foundation (KKS) and Sweden’s Innovation Agency through ACCURATE 4.0 and PREFER projects.

Available from: 2024-11-29 Created: 2024-11-29 Last updated: 2025-09-29Bibliographically approved
Nourmohammadi, A., Beldar, P., Fathi, M. & Mahmoodi, E. (2024). Balancing and Scheduling of Sustainable Flexible Transfer Lines. Paper presented at 18th IFAC Symposium on Information Control Problems in Manufacturing, INCOM 2024, Vienna, Austria, August 28-30, 2024. IFAC-PapersOnLine, 58(19), 664-669
Open this publication in new window or tab >>Balancing and Scheduling of Sustainable Flexible Transfer Lines
2024 (English)In: IFAC-PapersOnLine, ISSN 2405-8971, E-ISSN 2405-8963, Vol. 58, no 19, p. 664-669Article in journal (Refereed) Published
Abstract [en]

In response to sustainability imperatives, manufacturers adapt production lines for enhanced energy efficiency. This study focuses on flexible transfer lines (FTL), which are renowned for flexibility and efficiency in mass-customized production. This study addresses the pivotal challenges of balancing and scheduling FTL, aiming to optimize cycle time and total energy cost. A novel mixed-integer linear programming model and a multi-objective optimization approach utilizing the epsilon-constraint method are introduced for solving small to medium-sized problems. The findings advance sustainable practices by exploring the impact of varying energy modes on FTL sustainability, offering manufacturers insights into energy-efficient production strategies.

Place, publisher, year, edition, pages
Elsevier, 2024
Keywords
Line Balancing, Scheduling, Flexible Transfer Lines, Sustainability, Multi-objective Optimization
National Category
Production Engineering, Human Work Science and Ergonomics
Research subject
Virtual Production Development (VPD)
Identifiers
urn:nbn:se:his:diva-24628 (URN)10.1016/j.ifacol.2024.09.224 (DOI)001329532200112 ()2-s2.0-85208075027 (Scopus ID)
Conference
18th IFAC Symposium on Information Control Problems in Manufacturing, INCOM 2024, Vienna, Austria, August 28-30, 2024
Projects
ACCURATE 4.0PREFER
Funder
Knowledge Foundation
Note

CC BY-NC-ND 4.0

This study was funded by the Knowledge Foundation (KKS) and Sweden’s Innovation Agency through ACCURATE 4.0 and PREFER projects. The authors thank their industrial partner, VOLVO Group,for their collaborative support during the project.

Available from: 2024-10-20 Created: 2024-10-20 Last updated: 2025-09-29Bibliographically approved
Beldar, P., Battarra, M. & Laporte, G. (2024). Non-identical parallel machines batch processing problem to minimize the makespan: Models and algorithms. Computers & Operations Research, 168, Article ID 106708.
Open this publication in new window or tab >>Non-identical parallel machines batch processing problem to minimize the makespan: Models and algorithms
2024 (English)In: Computers & Operations Research, ISSN 0305-0548, E-ISSN 1873-765X, Vol. 168, article id 106708Article in journal (Refereed) Published
Abstract [en]

This paper studies a parallel heterogeneous machine batching and scheduling problem in which weighted jobs are first batched, and the batches are then assigned and sequenced on machines of varying capacities. The duration of a batch is the longest time needed to process a job, and the objective is that of minimizing the makespan, or the sum of the batches durations on the machine finishing last. The authors develop polynomial-size mathematical formulations and a variable neighborhood search metaheuristic. Extensive computational results suggest that the flow-based formulation outperforms a compact formulation, despite its larger number of variables. The metaheuristic is capable of producing high-quality solutions within a limited computing time.

Place, publisher, year, edition, pages
Elsevier, 2024
Keywords
Parallel machines, batch processing machines, makespan minimization, variable neighborhood search
National Category
Computational Mathematics Computer Systems
Research subject
Virtual Production Development (VPD)
Identifiers
urn:nbn:se:his:diva-23891 (URN)10.1016/j.cor.2024.106708 (DOI)001249043700001 ()2-s2.0-85194702464 (Scopus ID)
Note

CC BY 4.0

Available online 25 May 2024

Corresponding author: Maria Battarra

The work reported in this paper was undertaken as part of the Made Smarter Innovation: Centre for People-Led Digitalization, at the University of Bath, University of Nottingham, and Loughborough University. The project is funded by the Engineering and Physical Sciences Research Council (EP-SRC) Grant EP/V062042/1.

Available from: 2024-05-30 Created: 2024-05-30 Last updated: 2025-09-29Bibliographically approved
Beldar, P., Moghtader, M., Giret, A. & Ansaripoor, A. H. (2022). Non-identical parallel machines batch processing problem with release dates, due dates and variable maintenance activity to minimize total tardiness. Computers & industrial engineering, 168, Article ID 108135.
Open this publication in new window or tab >>Non-identical parallel machines batch processing problem with release dates, due dates and variable maintenance activity to minimize total tardiness
2022 (English)In: Computers & industrial engineering, ISSN 0360-8352, E-ISSN 1879-0550, Vol. 168, article id 108135Article in journal (Refereed) Published
Abstract [en]

Combination of job scheduling and maintenance activity has been widely investigated in the literature. We consider a non-identical parallel machines batch processing (BP) problem with release dates, due dates and variable maintenance activity to minimize total tardiness. An original mixed integer linear programming (MILP) model is formulated to provide an optimal solution. As the problem under investigation is known to be strongly NP-hard, two meta-heuristic approaches based on Simulated Annealing (SA) and Variable Neighborhood Search (VNS) are developed. A constructive heuristic method (H) is proposed to generate initial feasible solutions for the SA and VNS. In order to evaluate the results of the proposed solution approaches, a set of instances were randomly generated. Moreover, we compare the performance of our proposed approaches against four meta-heuristic algorithms adopted from the literature. The obtained results indicate that the proposed solution methods have a competitive behaviour and they outperform the other meta-heuristics in most instances. Although in all cases, H + SA is the most performing algorithm compared to the others.

Place, publisher, year, edition, pages
Elsevier, 2022
Keywords
Minimization of total tardiness, Parallel machines, Batch processing machines, Scheduling with maintenance activity
National Category
Reliability and Maintenance
Identifiers
urn:nbn:se:his:diva-23594 (URN)10.1016/j.cie.2022.108135 (DOI)000805819000007 ()2-s2.0-85127478370 (Scopus ID)
Available from: 2024-02-15 Created: 2024-02-15 Last updated: 2025-09-29Bibliographically approved
Ardakani, A., Fei, J. & Beldar, P. (2020). Truck-to-door sequencing in multi-door cross-docking system with dock repeat truck holding patter. International Journal of Industrial Engineering Computations, 11(2), 201-220
Open this publication in new window or tab >>Truck-to-door sequencing in multi-door cross-docking system with dock repeat truck holding patter
2020 (English)In: International Journal of Industrial Engineering Computations, ISSN 1923-2926, E-ISSN 1923-2934, Vol. 11, no 2, p. 201-220Article in journal (Refereed) Published
Abstract [en]

Cross-docking is a logistics strategy that consolidates the products of different inbound trucks according to their destinations in order to reduce the inventory, order picking, and transportation costs. It requires a high level of collaboration between inbound trucks, internal operations, and outbound trucks. This article addresses the truck-to-door sequencing problem. Truck-to-door sequencing has been studied by some researchers in different titles such as scheduling and sequencing of inbound and outbound trucks of the cross-dock center. However, previous studies have not considered repeat truck holding pattern. Therefore, it is important to determine the doors and the sequence of the inbound and outbound trucks that should be assigned in a cross-dock center. This paper focuses on optimizing truck-to-door sequencing with consideration of repeat truck holding pattern in inbound trucks in order to minimize makespan. Two methods are considered to solve this problem, including mathematical modeling and a heuristic algorithm. In the first method, a mixed integer-programming model is developed to minimize the makespan. Then, GAMS software is used to solve small-scale problems. In the second approach, a heuristic algorithm is developed to find near-optimal solutions within the shortest time possible and the algorithm is used to solve large-scale problems. The results of the mathematical model and the heuristic algorithm are slightly different and show the good quality of the presented heuristic algorithm.

Place, publisher, year, edition, pages
Growing Science, 2020
Keywords
Cross-docking, Dock Repeat Truck Holding, Pattern, Heuristic Algorithm, Truck-to-door Sequencing, Multi-door, Makespan
National Category
Transport Systems and Logistics
Identifiers
urn:nbn:se:his:diva-23593 (URN)10.5267/j.ijiec.2019.10.001 (DOI)000494644100003 ()2-s2.0-85083512572 (Scopus ID)
Note

CC BY 4.0 DEED

Available from: 2024-02-15 Created: 2024-02-15 Last updated: 2025-09-29Bibliographically approved
Beldar, P., Framinan, J. M. & Ardakani, A. (2019). Minimization of total completion time on a batch processing machine with arbitrary release dates: an effectual teaching–learning based optimization approach. Production Engineering, 13(5), 557-566
Open this publication in new window or tab >>Minimization of total completion time on a batch processing machine with arbitrary release dates: an effectual teaching–learning based optimization approach
2019 (English)In: Production Engineering, ISSN 0944-6524, E-ISSN 1863-7353, Vol. 13, no 5, p. 557-566Article in journal (Refereed) Published
Abstract [en]

In this research study, a single machine batch-processing problem with release dates to minimize the total completion times of jobs is considered. The machine is able to process at most a certain number of jobs at the same time and the total size of the jobs allocated to a batch cannot exceed the machine capacity. Since the research problem has been shown to be NP-hard, an efective Teaching–Learning Based Optimization (TLBO) is proposed. A constructive heuristic approach is developed to generate initial feasible solutions for the TLBO. In order to enhance the efciency of the proposed TLBO, a Tabu Search (TS) with three diferent neighborhood generation mechanisms is incorporated into the teaching phase and learner phase separately. To validate the outcomes of the proposed TLBO, we carry out an experimental study and compare its outcomes with the best-known results obtained by several meta-heuristic methods on a set of benchmark instances derived from the literature. The computational results show that the proposed TLBO with the incorporation of TS in its learning phase is able to come up with very good quality solutions.

Place, publisher, year, edition, pages
Springer, 2019
Keywords
Total completion times minimization, Batch processing, Single machine scheduling, Teaching–Learning Based Optimization, Heuristic approach
National Category
Production Engineering, Human Work Science and Ergonomics
Identifiers
urn:nbn:se:his:diva-23592 (URN)10.1007/s11740-019-00906-2 (DOI)000484614500005 ()2-s2.0-85067043551 (Scopus ID)
Available from: 2024-02-15 Created: 2024-02-15 Last updated: 2025-09-29Bibliographically approved
Beldar, P. & Costa, A. (2018). Single machine batch processing problem with release dates to minimize total completion time. International Journal of Industrial Engineering Computations, 9(3), 331-348
Open this publication in new window or tab >>Single machine batch processing problem with release dates to minimize total completion time
2018 (English)In: International Journal of Industrial Engineering Computations, ISSN 1923-2926, E-ISSN 1923-2934, Vol. 9, no 3, p. 331-348Article in journal (Refereed) Published
Abstract [en]

A single machine batch processing problem with release dates to minimize the total completion time (1|rj,batch|∑Cj ) is investigated in this research. An original mixed integer linear programming (MILP) model is proposed to optimally solve the problem. Since the research problem at hand is shown to be NP-hard, several different meta-heuristic algorithms based on tabu search (TS) and particle swarm optimization (PSO) are used to solve the problem. To find the most performing heuristic optimization technique, a set of test cases ranging in size (small, medium, and large) are randomly generated and solved by the proposed meta-heuristic algorithms. An extended comparison analysis is carried out and the outperformance of a hybrid meta-heuristic technique properly combining PSO and genetic algorithm (PSO-GA) is statistically demonstrated.

Place, publisher, year, edition, pages
Growing Science, 2018
Keywords
Minimization of total completion time, Batch processing, Single machine scheduling, Mathematical programming, Scheduling with release dates
National Category
Production Engineering, Human Work Science and Ergonomics
Identifiers
urn:nbn:se:his:diva-23591 (URN)10.5267/j.ijiec.2017.8.003 (DOI)000468072400004 ()2-s2.0-85031495328 (Scopus ID)
Note

CC BY 4.0 DEED

Available from: 2024-02-15 Created: 2024-02-15 Last updated: 2025-09-29Bibliographically approved
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ORCID iD: ORCID iD iconorcid.org/0000-0003-2300-7929

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