S1 File - Application of enhanced benders decomposition algorithm in circular assembly line balancing problem with task splitting

S1 File - Application of enhanced benders decomposition algorithm in circular assembly line balancing problem with task splitting

<p>The raw statistical data underlying the key figures and tables.</p> <p>(ZIP)</p>

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Bibliográfalaš dieđut
Váldodahkki:	Panfei Li (22379086) (author)
Eará dahkkit:	Chongxing Ji (22379089) (author)
Almmustuhtton:	2025
Fáttát:	Biotechnology Sociology Space Science Information Systems not elsewhere classified significant technological innovation rigorous linearization theorem rapid solution screening improving solution quality enhanced benders decomposition enhanced benders cuts balancing master problem assembly line marked ablation studies confirm numerous manufacturing enterprises heuristic infeasibility proof 8 %, 69 collaborative task execution manufacturing industry infeasibility analysis 2 %, xlink "> world instances station revisitation production system process assignment position machines paper introduces novel np loop topology local branching handling spatio extensively adopted dimensional complexity checking subproblem addressing worker 7 %. 60 real 3 %.
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Geahča maid

Top-down vs. bottom-up benders decomposition strategies.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Layout example of circular assembly line balancing problem.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

The pseudo code of solving procedure with enhanced benders cut.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Schematic diagram of process assignment with task-splitting.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Layout transition diagram of production line stations: circular to straight configuration.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Computational runtime of different algorithms on individual problem instances.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Average runtime (s) and gaps of algorithms on problem instances of varying scales.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Objective function values of different algorithms on individual problem instances.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Schematic diagram of decomposition from monolithic MILP Model to two sub models.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Average objectives and optimality gaps of algorithms on problem instances of varying scales.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Problem instances scale (|P|: process size, |S|: station size, |W|: worker size, MC: maximum cycle count).
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Computational runtime of the algorithms across individual problem instances grouped by scale: (a) Small, (b) Medium, (c) Large, (d) Super-Large.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Objective function values of the algorithms across individual problem instances grouped by scale: (a) Small, (b) Medium, (c) Large, (d) Super-Large.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Comparative runtime (s) analysis: ablation study of algorithmic techniques.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Algorithm parameter settings.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

The pseudo code of local branching algorithm.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

The pseudo code of HIP algorithm.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Numerical example of linearization formulation.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Optimization objectives and multidimensional constraints for the CALBP-TS.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Summary of the literature review on ALBP/UALBP.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Diagram illustrating the computational process of the HIP algorithm.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Integrated algorithmic framework.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Process-station assignment diagram incorporating dummy process coding.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Schematic diagram of dummy process coding numerical demonstration.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Quantitative allocation chart for process-worker-station assignments.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Schematic diagram of process assignment results with machine.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

Schematic diagram of process assignment results without machine.
Dahkki: Panfei Li (22379086)
Almmustuhtton: (2025)

<b>Logic-based Benders decomposition for integrated order acceptance, distributed heterogeneous factories, inventory, and hub-spoke </b><b>delivery</b><b> scheduling under make-to-order products</b>
Dahkki: W TL (22351276)
Almmustuhtton: (2025)

Implementing the branch-and-cut approach for a general purpose Benders’ decomposition framework - Computational results
Dahkki: S Maher (9883616)
Almmustuhtton: (2025)

Literature review on Benders cut selection and a multiple cut generation scheme
Dahkki: Timoleon Kaltis (22119860)
Almmustuhtton: (2025)

Instances and detailed results of the paper <i>Stochastic scheduling on a restricted batching machine</i>
Dahkki: Yasmin Rios Solis (3909469)
Almmustuhtton: (2025)

GTA_RFL
Dahkki: Rotimi Ogunsakin (21599891)
Almmustuhtton: (2025)

Toward a Local Boundary Approach to Hadwiger’s Conjecture in Planar Graphs
Dahkki: john teo (17467509)
Almmustuhtton: (2025)

Consumption modules used to construct C. necator models capable of consuming alternative substrates.
Dahkki: Michael Weldon (110676)
Almmustuhtton: (2025)

(A) Alcohols as carbon dioxide-free, carbon-based electron sources.
Dahkki: Michael Weldon (110676)
Almmustuhtton: (2025)

Carbon yield for mixotrophies with one co-substrate derived from a carbon dioxide-free eCO<sub>2</sub>R process.
Dahkki: Michael Weldon (110676)
Almmustuhtton: (2025)

(A) Mixotrophic performance in terms of MDF (left panel) and carbon yield (right panel) for all carbon source pairings, with sole carbon source scenarios along the diagonals.
Dahkki: Michael Weldon (110676)
Almmustuhtton: (2025)

(A) Maximum-minimum thermodynamic driving force (MDF) for each carbon source for growth-only and production-only extremes without complete carbon conversion (i.e. carbon dioxide excretion allowed).
Dahkki: Michael Weldon (110676)
Almmustuhtton: (2025)

(A) Schematic of redox coupling using alternative, reduced substrates.
Dahkki: Michael Weldon (110676)
Almmustuhtton: (2025)

(A) De novo carbon dioxide assimilation is required for ethylene glycol-to-glycolic acid mixotrophies.
Dahkki: Michael Weldon (110676)
Almmustuhtton: (2025)