# An Improved Variable Neighborhood Search for the Reconfigurable Assembly Line Reconfiguring Problem
## 5 Proposed IVNS-RALRP
### Solution Evaluation
The maximum iteration is set to 1000 for all times. Figure A1 shows the trend for each factor level. Considering parameter _ps_, it is seen from Figure A1a,d that both cases obtain the minimum response variable value at the second level. A similar trend is observed for parameter _cp_, as seen in Figure A1b,e that across two cases, the minimum value of the response variable is obtained at the third level. Similarly, with regard to parameter _mp_, it is observed from Figure A1c,f that the minimum value of the response variable is obtained at the second level. To summarize, the selected parameter values are _ps_ = 100, _cp_ = 0.9, and _mp_ = 0.1. ## References

* (1) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Product variety management. _Cirp Ann.-Manuf. Technol._**2013**, _62_, 629-652. [CrossRef]
* (2) [PERSON]; [PERSON]; [PERSON] Designing Manufacturing Flexibility in Dynamic Production Contexts. In _Design of Flexible Production Systems: Methodologies and Tools_; Springer: Berlin/Heidelberg, Germany, 2009; pp. 1-18. [CrossRef]
* (3) [PERSON]; [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON] [PERSON] Reconfigurable manufacturing systems. _Cirp Ann._ **1999**, _48_, 527-540. [CrossRef]
* (4) [PERSON]; [PERSON]; [PERSON] A detailed review and analysis of assembly line rebalancing problems. _Assem. Autom._**2022**, _42_, 742-760. [CrossRef]
* (5) [PERSON]; [PERSON]; [PERSON] Improved imperialist competitive algorithms for rebalancing multi-objective two-sided assembly lines with space and resource constraints. _Int. J. Prod. Res._**2020**, _58_, 3589-3617. [CrossRef]
* (6) [PERSON] Assembly line balancing and the application of computer techniques. _Comput. Ind. Eng._**1979**, \(3\), 53-69. [CrossRef]
* (7) [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON] [PERSON] A multiple single-pass heuristic algorithm solving the stochastic assembly line rebalancing problem. _Int. J. Prod. Res._**2009**, _47_, 2141-2164. [CrossRef]
* (8) [PERSON]; [PERSON] [PERSON]; [PERSON] A new multi-objective heuristic algorithm for solving the stochastic assembly line re-balancing problem. _Int. J. Prod. Econ._**2006**, _102_, 226-243. [CrossRef]
* (9) [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON] Re-balancing problem for assembly lines: New mathematical model and exact solution method. _Assem. Autom._**2015**, _35_, 16-21. [CrossRef]
* (10) [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON] An Exact Method for the Assembly Line Re-balancing Problem. In _Advances in Production Management Systems. Sustainable Production and Service Supply Chains, Proceedings of the IFIP WG 5.7 International Conference, APMS 2013, State College, PA, USA, 9-12 September 2013_; Proceedings, Part I; IFIP Advances in Information and Communication Technology Series; Springer: Berlin/Heidelberg, Germany, 2013; Volume 414, pp. 159-166. [CrossRef]
* (11) [PERSON]; [PERSON] Assembly line worker assignment and rebalancing problem: A mathematical model and an artificial bee colony algorithm. _Comput. Ind. Eng._**2021**, _156_, 107195. [CrossRef]
* (12) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Optimizing task reassignments for reconfigurable multi-model assembly lines with unknown order of product arrival. _J. Manuf. Syst._**2023**, _67_, 190-200. [CrossRef]
* (13) [PERSON]; [PERSON] Cost optimization of project schedules under constrained resources and alternative production processes by mixed-integer nonlinear programming. _Eng. Constr. Archit. Manag._**2019**, _26_, 2474-2508. [CrossRef]
* (14) [PERSON]; [PERSON]; [PERSON]; [PERSON] A Demand-Driven Model for Reallocating Workers in Assembly Lines. _IEEE Access_**2022**, _10_, 80300-80320. [CrossRef]
* (15) [PERSON]; [PERSON]; [PERSON] Configuration design of reconfigurable single-product robotic assembly line for capacity scalability. _Comput. Ind. Eng._**2023**, _185_, 109682. [CrossRef]
* (16) [PERSON]; [PERSON]; [PERSON] An Improved Genetic Algorithm with Adaptive Variable Neighborhood Search for FJSP.