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August 29, 2026Journal of SchedulingOpen Access

Multi-neighborhood simulated annealing for the multi-activity multi-day shift scheduling problem

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Authors

LTLászló Kálmán TrautschBKBence Kővári

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Overview

Computational benchmark study demonstrates optimal workforce assignments across 225 test instances, suggesting multi-neighborhood simulated annealing efficiently resolves complex scheduling.

Key Points

  • Develop an efficient multi-neighborhood simulated annealing algorithm to solve the multi-activity multi-day shift scheduling problem while satisfying operational constraints and minimizing quadratic overstaffing costs.
  • Designed a simulated annealing framework utilizing nine distinct neighborhood relations adapted to short time intervals and homogeneous workforces.
  • Structured the search space and transformation operators to optimize computational speed across large, heavily constrained problem instances.
  • Tested performance on a benchmark dataset consisting of 225 scheduling problem instances of varying complexity.
  • Generated feasible schedules for all 225 benchmark instances, resolving 118 instances that were previously unsolved.
  • Surpassed the prior best-performing solver to establish new best-known solutions across all 225 evaluated instances.
  • Produced high-quality, constraint-compliant schedules within execution times of a few seconds.

Cite This Study

Trautsch et al. (2026) studied this question.

synapsesocial.com/papers/6a92991a8e5d7d1fc0c10e8bhttps://doi.org/10.1007/s10951-026-00886-z
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