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American Journal of Business and Operations Research

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American Journal of Business and Operations Research
Full Length Article

Volume 15 • Issue 1 • PP: 50–61 • 2027

Robust Estimation of Component Cost-Risk Indices in a CODLAG Naval Propulsion Digital Shadow

Samir Aboul Fotouh Saleh 2 ,
A. S. Tolba 2 ,
Shimaa Sami Selim 1* ,
MohamedElhoseny 3
1Obour University for Science & Technology (OUST), Egypt
2Mansoura University, Mansoura, Egypt
3College of Computing and Informatics, University of Sharjah, United Arab Emirates
* Corresponding Author.
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© 2027 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: August 12, 2026 Revised: September 14, 2026 Accepted: October 22, 2026

Abstract

Maintenance-economic studies often convert condition indicators into apparent costs without verifying whether the resulting targets are independent of the model inputs. This can produce exceptionally high but operationally misleading accuracy. We formulate component-level estimation for a COmbined Diesel-eLectric And Gas (CODLAG) propulsion plant as a leakage-resistant digital-shadow problem. The primary dataset is the public UCI naval propulsion dataset: 11,934 steady-state observations generated by a calibrated numerical frigate simulator across nine speed settings, 51 compressor-health states, and 26 turbine-health states. Because it contains neither monetary maintenance records nor live vessel telemetry, the outputs are explicitly defined as dimensionless compressor and turbine cost-risk indices rather than currency costs. Health coefficients and every target-derived quantity are excluded from predictors. Models are tuned by three-fold grouped inner validation and assessed by five-fold outer validation in which all observations sharing a degradation pair remain in the same fold. Extra Trees achieved an aggregate cost-risk RMSE of 0.0222 (95% CI half-width 0.0049) and R2 of 0.9886 (95% CI half-width 0.0049) under nominal interpolation. However, combined noise, missingness, calibration bias, and channel loss reduced R2 to 0.6335 even after corruption-augmented training, while leave-one-speed-regime-out testing produced mean R2 = −0.379. Scenario-matched 90% split-conformal intervals retained 89.5–90.4% empirical coverage by widening from 0.032 nominally to 0.406 under severe corruption. An external NASA C-MAPSS FD001 benchmark yielded RMSE 16.97 cycles and R2 = 0.821 for remaining-useful-life prediction on 100 unseen engines. The study therefore supports robust condition-risk ranking within the simulated envelope, not direct monetary forecasting or autonomous maintenance scheduling. The principal contribution is a transparent validation protocol that exposes target leakage, simulator determinism, sensor-quality sensitivity, and the boundary between a digital shadow and a deployable digital twin.

Keywords

Naval propulsion Digital shadow Condition monitoring Cost-risk index Target leakage Nested grouped validation Conformal prediction Sensor degradation

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Saleh, Samir Aboul Fotouh, S. Tolba, A. , Sami Selim, Shimaa , , MohamedElhoseny. "Robust Estimation of Component Cost-Risk Indices in a CODLAG Naval Propulsion Digital Shadow." American Journal of Business and Operations Research, vol. 15, no. 1, 2027, pp. 50–61. DOI: https://doi.org/10.54216/AJBOR.150107
Saleh, S., S. Tolba, A., Sami Selim, S., , M. (2027). Robust Estimation of Component Cost-Risk Indices in a CODLAG Naval Propulsion Digital Shadow. American Journal of Business and Operations Research, Volume 15(Issue 1), 50–61. DOI: https://doi.org/10.54216/AJBOR.150107
Saleh, Samir Aboul Fotouh, S. Tolba, A. , Sami Selim, Shimaa , , MohamedElhoseny. "Robust Estimation of Component Cost-Risk Indices in a CODLAG Naval Propulsion Digital Shadow." American Journal of Business and Operations Research Volume 15, no. Issue 1 (2027): 50–61. DOI: https://doi.org/10.54216/AJBOR.150107
Saleh, S., S. Tolba, A., Sami Selim, S., , M. (2027) 'Robust Estimation of Component Cost-Risk Indices in a CODLAG Naval Propulsion Digital Shadow', American Journal of Business and Operations Research, Volume 15(Issue 1), pp. 50–61. DOI: https://doi.org/10.54216/AJBOR.150107
Saleh S, S. Tolba A, Sami Selim S, M. Robust Estimation of Component Cost-Risk Indices in a CODLAG Naval Propulsion Digital Shadow. American Journal of Business and Operations Research. 2027;Volume 15(Issue 1):50–61. DOI: https://doi.org/10.54216/AJBOR.150107
S. Saleh, A. S. Tolba, S. Sami Selim, M. , "Robust Estimation of Component Cost-Risk Indices in a CODLAG Naval Propulsion Digital Shadow," American Journal of Business and Operations Research, vol. Volume 15, no. Issue 1, pp. 50–61, 2027. DOI: https://doi.org/10.54216/AJBOR.150107
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