Annals of Operations Research· 2026Q1
Scheduling algorithms for time-dependent V-shaped processing times with agreeable slopes around a common ideal time
- 1citations
- Q1SCImago
- 2026year
Short summary
A new scheduling algorithm significantly reduces worker walking time in production settings with moving assembly lines by optimizing part retrieval based on V-shaped, time-dependent processing times.
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Key points
- Develops new scheduling algorithms for single-machine problems with V-shaped, time-dependent processing times.
- Algorithms minimize worker walking time in production with moving assembly lines.
- Employs function-based monotonic dynamic programs and approximation schemes.
- Achieves polynomial time solutions for fixed and variable global start time variants, including asymmetric, job-uniform slopes.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract We study a single-machine problem with time-dependent processing times following a V-shape around a common ideal time. The slopes are under an agreeableness condition and can be asymmetric and job-specific. Its application lies in production with a moving assembly line, to minimize a worker’s walking time retrieving parts from a supply point, in which part weight affects walking velocity. In this problem, the global start time (or ideal time) can be fixed or variable. For both variants, we devise the first function-based monotonic dynamic programs, which let us derive fully polynomial time approximation schemes employing a recent framework for K -approximation sets and functions. For the variable variant with asymmetric, job-uniform slopes, we introduce a polynomial time algorithm.
The authors' abstract, as published at the source. Annals of Operations Research, 2026 · DOI ↗
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Field: Industrial and Manufacturing Engineering
Industrial and Manufacturing EngineeringEngineering