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Improved energetic reasoning checker for cumulative constraint with profile

Author

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  • Kameugne, Roger
  • Bodo Ngono, Rosaly Zoller
  • Ndjopnang Wantiep, Yves Pascal

Abstract

Energetic reasoning checker has been a challenging research topic for over 25 years. The best checker recently obtained by Carlier, Sahli, Jouglet, and Pinson (2022) is received after a reduction of the complexity to O(n×α(n)×log(n)) and the number of useful intervals, where n is the number of tasks sharing the resource and α(n) is Ackermann’s inverse function. This paper applies the Profile data structure to the energetic reasoning checker. The new checker rule called Horizontally Elastic Energetic Reasoning Checker subsumes the classic energetic reasoning checker and only considers explicitly O(n) useful intervals. An algorithm of complexity O(n2log(n)) in time is proposed and later improved to a quadratic algorithm. Two criteria are applied to reduce the number of useful intervals and thus accelerate the checker. The new checker remains quadratic and superior to the classic energetic reasoning checkers. Experimental evaluation on CuSP and well-known suite benchmarks of RCPSP instances shows that the proposed algorithm scales well and outperforms the state-of-the-art energetic reasoning checker.

Suggested Citation

  • Kameugne, Roger & Bodo Ngono, Rosaly Zoller & Ndjopnang Wantiep, Yves Pascal, 2026. "Improved energetic reasoning checker for cumulative constraint with profile," European Journal of Operational Research, Elsevier, vol. 335(2), pages 354-366.
    • Handle: RePEc:eee:ejores:v:335:y:2026:i:2:p:354-366
    DOI: 10.1016/j.ejor.2026.03.037
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