1. Introduction
The contemporary business environment is marked by unprecedented volatility, accelerated digital transformation, and rising stakeholder expectations regarding environmental and social responsibility [
1,
2,
3]. As a result, the traditional logistics emphasis on efficiency and cost minimization is increasingly being replaced by a paradigm centered on resilience, agility, and sustainability [
4,
5]. Managing such multi-dimensional performance demands advanced analytical tools capable of synthesizing heterogeneous operational, digital, and sustainability metrics—an essential requirement of today’s digital supply chains [
6,
7,
8].
Within this evolving landscape, the SCOR
® framework continues to serve as the most widely adopted standard for modeling, diagnosing, and benchmarking supply chain processes [
9,
10]. The SCOR
® 4.0 update, with its three-tier hierarchical structure and attribute families, provides a robust foundation for Key Performance Indicator (KPI) measurement [
11,
12]. Despite its structural robustness, the original SCOR
® model is not explicitly designed to accommodate the continuous, high-frequency data streams generated by emerging Industry 4.0 technologies such as IoT-enabled sensing, cyber–physical infrastructures, cloud computing platforms, and digital twin systems. Nor does it sufficiently account for non-traditional performance dimensions related to environmental, circular, and social sustainability, which are increasingly indispensable for Supply Chain 5.0 strategies [
13,
14,
15,
16]. Bridging these gaps requires extending the SCOR
® 4.0 framework to integrate digitalization metrics (e.g., automation level, data interoperability) and sustainability indicators (e.g., carbon footprint, waste reduction, resource circularity), while preserving the model’s hierarchical consistency [
17].
The integration of such diverse KPIs introduces complexity that exceeds the analytical capabilities of classical statistical techniques. In this context, the integration of AI-based predictive modeling enables the transition of SCOR-oriented evaluations from static measurement tools to proactive forecasting mechanisms [
18]. Among the available AI approaches, MLP neural networks offer strong advantages for supply chain applications due to their ability to capture nonlinear patterns, approximate multivariate functions, and generalize from limited or noisy data without requiring explicit probabilistic assumptions [
19,
20,
21]. While hybrid techniques combining fuzzy logic with neural networks have been applied to improve qualitative SCOR
® metric interpretation [
22], standalone MLPs remain computationally efficient, fast to train, and well-suited for quantitative and time-series prediction tasks [
23,
24]. Prior studies demonstrate the feasibility of linking SCOR metrics with MLP models for performance evaluation [
25,
26]. In contrast, there remains a significant gap: no comprehensive model has systematically expanded the SCOR
® 4.0 structure to embed digital, green, and circular KPIs while employing an optimized, standalone MLP architecture for forecasting Sustainable Digital Supply Chain Performance.
In response to the identified gap, this research develops and methodologically evaluates a robust MLP neural network designed to forecast supply chain performance under synthetic, simulation-based conditions based on an extended SCOR
® 4.0 metric framework. The study pursues three key objectives: (1) to develop a systematic extension of Level 1 and Level 2 SCOR
® KPIs that incorporates digitalization, sustainability, and circularity dimensions within a consistent hierarchical schema; (2) to design and optimize an MLP architecture capable of modeling nonlinear relationships between these heterogeneous, weighted metrics and the aggregated SCP index; and (3) to methodologically evaluate the predictive accuracy, computational efficiency, and internal consistency of the proposed model using synthetically generated data. The contribution of this research is methodological: it demonstrates the feasibility, internal consistency, and predictive stability of integrating an extended SCOR
® structure with an optimized MLP architecture [
27].
Contribution and Distinction from Existing Work
Seminal work by [
1] established a critical methodological foundation by demonstrating the feasibility of using MLP neural networks to forecast supply chain performance based on SCOR
® metrics. The present study builds upon this established methodological lineage and shares several key structural similarities, including the use of MLP architectures, data normalization procedures, cross-validation for topology optimization, and performance evaluation using the Pearson correlation coefficient (R) and MSE.
Nevertheless, this research significantly extends and differentiates itself from prior contributions in several fundamental aspects. First, while [
1] focused on predicting Level 1 SCOR
® metrics from Level 2 indicators, the present study introduces a structural evolution by forecasting Level 2 diagnostic metrics directly from Level 3 operational indicators, which represent raw, process-level data. This shift increases diagnostic granularity and aligns the predictive framework with the analytical needs of modern supply chain research.
Second, the major contribution of this work lies in the systematic extension of the SCOR® 4.0 framework to explicitly incorporate sustainability, digitalization, and circularity dimensions. Unlike the traditional SCOR® model employed in prior studies, which does not explicitly account for these emerging performance dimensions, this research introduces new Level 2 and Level 3 KPIs, such as Green Logistics Cost, Resource Circularity Rate, and Total Carbon Footprint, while preserving SCOR®’s hierarchical integrity. This enriched framework provides a holistic and future-oriented basis for performance evaluation in Industry 4.0 and Supply Chain 5.0 environments.
Third, the proposed model is explicitly designed for methodological validation on synthetic data streams that follow deterministic SCOR® formulations, thereby providing a controlled environment to rigorously test the internal consistency of the extended framework and the learning capability of the MLP architecture. It is important to note that the present study is purely methodological in nature. The proposed MLP-based forecasting model is trained and validated exclusively using synthetically generated data derived from deterministic SCOR® formulations. Accordingly, the objective of this research is not to empirically validate real-world supply chain behavior or to claim direct managerial applicability, but rather to demonstrate the feasibility, internal consistency, and predictive stability of integrating an extended SCOR® 4.0 framework with AI-based forecasting techniques. All implications for real-world deployment are therefore prospective and require future empirical validation.
While [
1] validated the applicability of MLP models for high-level SCOR
® performance forecasting, the present research advances this methodology by applying it to an extended SCOR
® 4.0 framework, enriched with sustainability and digitalization dimensions, and by operating at a finer predictive granularity (Level 3 to Level 2). In doing so, this study directly addresses the performance, resilience, and sustainability imperatives that characterize contemporary Supply Chain 5.0 systems.
It is important to note that the present study is purely methodological in nature, focusing on the computational integration of digital and environmental variables. The proposed MLP-based forecasting model is trained and validated using synthetically generated data derived from deterministic SCOR® formulations. Accordingly, the objective of this research is not to empirically validate real-world supply chain behavior, but rather to demonstrate the feasibility, internal consistency, and predictive stability of integrating an extended SCOR® 4.0 framework with AI-based forecasting techniques.
The remainder of this paper is structured as follows:
Section 2 presents a comprehensive review of the literature addressing the evolution of supply chain management, SCOR
® limitations, and AI-driven performance.
Section 3 details the Methods, materials, and data, including the extended SCOR
® 4.0 framework and MLP model design.
Section 4 presents the empirical Results and Discussion, covering optimization, prediction accuracy, and implications for theory and practice.
Section 5 provides Concluding Remarks and directions for future work.
3. Methods
3.1. Extended SCOR® 4.0 Framework and Data Preparation
The Extended SCOR® 4.0 framework developed in this study integrates the five traditional SCOR attributes, with the additional dimensions Digital Technology and Sustainability. Each attribute is decomposed into Level-2 performance indicators, which are modeled using MLPs, and Level-3 diagnostic indicators that serve as inputs to the neural networks.
This expanded modeling structure allows the representation of complex cause-and-effect relationships between operational, financial, digital, and environmental aspects of supply chain performance. In total, eleven independent MLP models were designed, each responsible for predicting one Level-2 SCOR metric () from its associated Level-3 indicators (). Each observation in the dataset, therefore, represents a static snapshot of Level-3 operational indicators and the corresponding Level-2 performance metric, implying a cross-sectional, functional mapping task rather than a temporal or time-series forecasting problem.
The dataset employed in this study is synthetically generated using deterministic SCOR
® performance equations combined with predefined weighting schemes. This design choice allows for controlled experimentation, reproducibility, and internal consistency when evaluating the learning behavior of the proposed MLP models. Moreover, it avoids confounding effects related to noise, missing values, and data heterogeneity that are commonly encountered in real-world logistics datasets, as illustrated in
Table 6.
For each Level-2 metric,
synthetic observations were generated by randomly sampling the associated Level-3 indicators within predefined operational ranges and computing the corresponding outputs via the Extended SCOR
® 4.0 formulations. Descriptive statistics (mean, standard deviation, minimum, and maximum) for all Level-3 inputs and Level-2 outputs are reported in
Table 7, providing transparency regarding the scale, variability, and coverage of the simulated data. Accordingly, the results should be interpreted as methodological validation of the proposed framework rather than as empirical evidence derived from operational data in real supply chains.
All variables were normalized to the interval [0, 1] using the min–max normalization, ensuring numerical stability during neural network training:
The datasets were partitioned so that 70% of the data was used for training and the remaining 30% for validation, enabling the assessment of generalization performance and mitigating the risk of overfitting.
3.2. Multilayer Perceptron Neural Network Architecture
The Multilayer Perceptron architecture was selected for its proven ability to approximate highly nonlinear, multidimensional mappings. An MLP consists of an input layer, one hidden layer, and an output layer. The net input received by neuron j is expressed as:
The output of the neuron is obtained by applying an activation function:
where the hidden neurons use the sigmoid activation function:
The output layer employs a linear activation, suitable for continuous performance metrics.
This architecture allows the capture of nonlinear dependencies such as cost-revenue interactions (MLP 4) or the relationships between operational lead times and order fulfillment responsiveness (MLP 6).
3.3. Training and Optimization Using Backpropagation and Cross-Validation
The MLP models were trained using the Backpropagation algorithm, which iteratively updates weights to minimize prediction error. The error for each sample p is computed as:
Weights are updated using gradient descent:
A systematic cross-validation procedure was implemented to determine the optimal topology for each MLP. For each model, four candidate configurations, varying the number of hidden neurons, were trained for up to 10,000 epochs with a learning rate of ε = 0.2. The configuration yielding the lowest validation MSE was selected as the final topology.
In this study, the term MLP is used to precisely define the network architecture, which consists of an input layer, a single hidden layer, and an output layer. The learning process is based on error backpropagation and gradient-based optimization, which are commonly associated with the broader class of neural and deep learning methodologies in the literature. However, in accordance with contemporary machine learning terminology, the proposed model is formally classified as a classical MLP neural network rather than a deep neural network, due to its limited depth. The use of MLP terminology is therefore adopted throughout the manuscript to ensure architectural accuracy and terminological consistency. Although the term “deep learning” is sometimes used broadly in applied literature to denote neural networks trained via backpropagation, architectural depth remains the formal criterion for defining deep neural [
58].
4. Results
4.1. Optimization of MLP Architectures
The optimization process involved training and evaluating 44 candidate MLP configurations corresponding to the eleven prediction models of the Extended SCOR®4.0-S framework. Each model was trained using four candidate hidden-layer topologies, varying the number of neurons according to the number of Level-3 input metrics. Training was performed for up to 10,000 epochs, with a learning rate of 0.2 and early-stopping based on the validation loss.
The final selected topology for each model is presented in
Table 8. The results indicate that small-to-medium-sized networks (3–7 hidden neurons) were sufficient to learn the nonlinear mapping between Level-3 indicators and Level-2 performance metrics. This confirms that SCOR
® performance relationships, although nonlinear, can be captured effectively without excessively deep or over-parameterized neural architectures.
The consistently low MSE (validation) values confirm excellent convergence and high predictive accuracy. Particularly, MLP 1 (Digitalization) and MLP 10 (Resource Circularity) exhibit outstanding performance, demonstrating that the extended SCOR® 4.0 architecture can model complex digital and sustainability-based relationships effectively.
Models associated with simpler relationships (e.g., digitalization value, cash-to-cash time) converged with only 3 neurons, while more complex formulations (e.g., return on working capital) required up to 7 neurons. The inclusion of sustainability metrics (MLP 9–11) did not increase model complexity significantly.
4.2. Prediction Accuracy and Model Performance
The optimized MLP models demonstrated high predictive accuracy across all SCOR
®4.0-S attributes.
Table 8 reports the lowest MSE obtained for each model at the validation stage. All MSE values fall below 0.001, confirming that the networks learned the functional relationships with excellent precision. Among the sustainability models, MLP 10 (Resource Circularity Rate) achieved the lowest MSE (0.00006), indicating strong nonlinear predictability of circularity indicators from Level-3 metrics. This result is notable because circularity tends to exhibit nonlinear saturation effects, which are naturally captured by the sigmoid activation in hidden layers.
Conversely, MLP 4 (Return on Working Capital) displayed the highest MSE (0.00050), consistent with the financial nonlinearity involved in the ratio between revenue, cost, and working-capital denominator. Despite this complexity, the model still delivered a high level of accuracy. The consistency of performance across all eleven models demonstrates that the Extended SCOR®4.0-S structure is computationally stable and amenable to AI-driven prediction.
4.3. Regression and Correlation Analysis
To rigorously evaluate the fidelity and generalization capabilities of the eleven optimized MLP models, comprehensive regression analyses were conducted. These analyses compared the expected Level-2 performance metrics, derived from the established Extended SCOR
® 4.0 deterministic formulas, with the actual values predicted by the trained MLP neural networks.
Figure 5 illustrates the validation results, where the clustering of data points along the 45° diagonal reference line indicates near-perfect prediction.
Empirical evaluation confirmed this visual alignment: the Pearson correlation coefficient (R) for the validation set exceeded 0.995 for all models, providing robust statistical evidence of excellent goodness-of-fit and strong generalization capacity. This performance demonstrates that the MLP architecture, specifically tailored for each SCOR® attribute, successfully captured the complex, nonlinear functional relationships between Level-3 input indicators and aggregated Level-2 output metrics.
Importantly, the sustainability-focused metrics exhibited equivalent predictive performance: MLP 9 (Total Green Logistics Cost) achieved R = 0.9996, MLP 10 (Resource Circularity Rate) reached R = 1.0000, the highest correlation across all models, and MLP 11 (Carbon Footprint) attained R = 0.9998. These near-unity correlation values confirm that the neural networks effectively learned the structural behavior of the new sustainability and circularity indicators with accuracy comparable to traditional SCOR® metrics. Furthermore, the regression lines’ close alignment with the theoretical 45° reference line demonstrates negligible prediction bias across the full spectrum of normalized performance values. Collectively, these results validate the MLP system as a highly precise, reliable, and consistent tool for translating operational data into forward-looking forecasts of Sustainable Digital Supply Chain Performance.
4.4. Interpretation and Implications
The empirical findings underscore the substantial capabilities of the proposed AI-SCOR® framework, offering significant theoretical and practical implications:
The incorporation of sustainability metrics (MLP 9–11: Green Logistics Cost, Resource Circularity, and Carbon Footprint) achieved predictive accuracy comparable to classical SCOR® models. This confirms that the SCOR® 4.0-S extension is both structurally coherent and computationally stable.
- 2.
Low Complexity with High Accuracy
Each MLP model required only a small hidden layer (3–7 neurons), demonstrating that complex, nonlinear cause-and-effect relationships, including those extended to digitalization and sustainability, can be effectively captured without deep or over-parameterized neural networks.
- 3.
Reliable Multidimensional Prediction System
The combination of minimal MSE, near-perfect correlation coefficients (R ≈ 1.000), and non-significant paired t-test results validates the system as a robust, multidimensional predictive engine for Sustainable Digital Supply Chain Performance.
- 4.
Immediate Suitability for Managerial Deployment
The lightweight architecture, relying solely on readily available Level-3 operational indicators, ensures that the framework can be seamlessly integrated into real-time performance dashboards and automated decision-support systems.
In summary, the data indicate that the AI-SCOR® framework is not limited to preserving the predictive integrity of classical SCOR® models but also effectively extends their capabilities to sustainability and digitalization domains, while remaining computationally efficient and highly practical for managerial applications.
5. Discussion
This study provides numerical evidence that optimized MLP neural networks, embedded in an Extended SCOR® 4.0-S framework, can accurately forecast a broad set of operational, digital, and environmental performance indicators under synthetic, simulation-based conditions. Eleven task-specific MLPs achieved consistently low errors and very high correlations between predicted and reference values, both for classical SCOR® attributes and for the newly introduced dimensions of digitalization, green logistics cost, circularity, and carbon footprint. The following sections discuss the implications of these findings for theory, practice and policy, and future research.
5.1. Implications for Theory
The primary theoretical contribution of this study is the formalization and validation of an Extended SCOR
® 4.0-S framework that integrates traditional operational metrics with emerging performance dimensions: Overall Digitalization, Green Logistics Cost, Resource Circularity, and Carbon Footprint. By demonstrating that these new dimensions (MLP 1, 9, 10, and 11) exhibit high predictive structural compatibility with standard SCOR
® metrics, this study answers the call in the recent operations management literature for more holistic performance measurement systems that align with Industry 4.0 and Circular Economy paradigms [
34].
Methodologically, this study advances the application of artificial intelligence in supply chain performance measurement. The cross-validation results, as shown in
Table 8, revealed that the MLP models achieved remarkably low MSE values (0.00005 to 0.00050), demonstrating the capacity to approximate the nonlinear, multivariate relationships embedded within the SCOR
® hierarchy. This is further validated by the comparison with non-neural baselines (
Table 8). While Linear Regression failed to capture complex dependencies in metrics such as Return on Working Capital (MLP 4) and Resource Circularity (MLP 10), evidenced by significantly higher RMSE values, the proposed MLP architecture maintained near-perfect alignment (R > 0.99). Even against Random Forest regression, the MLP demonstrated superior smoothness in function approximation for the continuous SCOR
® variables.
These findings contribute to the theoretical discourse by establishing that relatively compact MLP architectures are sufficient to capture the “digital twin” logic of supply chain performance [
59]. The study confirms that the complexity of incorporating environmental and digital variables does not destabilize the metric system, but rather creates a unified, AI-ready architecture suitable for Supply Chain 5.0 research.
5.2. Implications for Practice and Policy
For supply chain practitioners, the proposed framework facilitates a shift from retrospective reporting to proactive performance management. The high accuracy of the digitalization and sustainability models implies that managers can now quantify the prospective impact of strategic decisions, such as sourcing changes or Industry 4.0 investments, before implementation.
5.2.1. Managerial Implications
The ability to forecast the Overall Value at Risk (MLP 8) and Total Green Logistics Cost (MLP 9) simultaneously allows decision-makers to evaluate trade-offs between cost, resilience, and environmental impact in real-time. For organizations undergoing digital transformation, the Overall Digitalization model (MLP 1) provides a mechanism to benchmark digital maturity against operational outcomes. This supports the development of “Digital Control Towers”, where algorithms provide forward-looking estimates of KPIs, enabling faster corrective actions in sourcing, manufacturing, and distribution.
5.2.2. Policy Implications
From a policy perspective, the successful modeling of Carbon Footprint and Resource Circularity demonstrates that environmental compliance can be integrated directly into operational performance dashboards rather than treated as an external audit requirement. This supports regulatory frameworks requiring transparent carbon accounting and circular economy adherence [
60]. The results suggest that organizations can leverage existing operational data (SCOR Level 3 inputs) to generate reliable proxies for environmental reporting, thereby reducing the administrative burden of sustainability compliance while ensuring alignment with global standards.
5.3. Limitations of the Study and Future Research Directions
While the proposed framework demonstrates robust theoretical coherence and numerical stability, several limitations must be acknowledged to position the findings within the broader academic context.
5.3.1. Use of Synthetic, Deterministic Data
All experiments were conducted on synthetically generated, noise-free datasets obtained by sampling the deterministic equations of the Extended SCOR® 4.0-S framework. This design choice allows a clean assessment of whether MLPs can recover known functional relationships, but it does not reflect real-world data issues such as measurement error, missing values, structural breaks, or behavioral adaptations by supply chain actors. Consequently, the impressive numerical performance reported here should be interpreted as evidence of internal coherence and potential, not as proof of robustness under operational conditions.
Future research direction: Empirical validation is needed using real, large-scale datasets from different sectors and supply chain configurations. Such studies should assess how model performance degrades in the presence of noise and non-stationarity and evaluate the need for techniques such as regularization, domain adaptation, or continual learning.
5.3.2. Static and Cross-Sectional Modeling
The present MLPs learn static mappings between Level 3 and Level 2 metrics and do not capture temporal dynamics, lagged effects, or feedback loops. This limitation is significant in contexts where demand volatility, lead times, disruptions, and learning effects play a central role in performance.
Future research direction: Extending the approach to sequence-based or hybrid architectures (e.g., MLP–LSTM combinations, temporal convolutional networks, or neuro-fuzzy systems) could allow modeling of time-dependent behavior, resilience, and adaptation. This would better align AI-based performance modeling with the dynamic nature of contemporary supply chains.
6. Conclusions
This study proposed an Extended SCOR® 4.0-S framework for the methodological predictive assessment of Sustainable Digital Supply Chain Performance, integrating traditional SCOR® attributes with two emerging dimensions: digitalization and environmental sustainability. Within this framework, eleven MLP models were developed to forecast Level-2 performance metrics from Level-3 operational indicators. The primary contribution of this work is methodological, demonstrating the feasibility and internal consistency of coupling an extended SCOR® structure with AI-based predictive modeling under fully controlled, noise-free conditions.
The results indicate that the proposed framework and MLP models are capable of accurately approximating complex, nonlinear relationships embedded within the SCOR® hierarchy under controlled and synthetic conditions. All models achieved very low validation errors (MSE < 0.001) and high correlation coefficients (R > 0.995), reflecting the numerical stability of the learning architecture when applied to synthetically generated data. Importantly, these results demonstrate methodological soundness rather than empirical generalization to real-world supply chain settings. Notably, sustainability-oriented indicators, Total Green Logistics Cost, Resource Circularity Rate, and Total Carbon Footprint, exhibited predictive behavior comparable to classical SCOR® indicators, confirming the structural coherence of the proposed SCOR® 4.0-S extension.
From a methodological perspective, the proposed model validates the structural capability of MLP architectures to map the high-dimensional, nonlinear relationships inherent in the Extended SCOR® 4.0-S framework. While it illustrates the computational potential to serve as a decision-support mechanism, the current validation confirms the internal consistency and learning stability of the model rather than its immediate operational readiness. Consequently, claims related to real-time deployment, scalability, or direct managerial implementation remain prospective and require empirical validation using real operational datasets.
Several limitations of the present study must be acknowledged. First, the use of synthetic data, while appropriate for methodological validation, does not capture the full variability, uncertainty, and noise inherent in real-world supply chain environments. Second, the analysis is limited to feedforward MLP architectures; more advanced models, such as recurrent neural networks (e.g., LSTM) or hybrid neuro-fuzzy approaches, may offer enhanced capabilities for temporal modeling and interpretability. In addition, the sustainability dimension is primarily operationalized through environmental indicators, while social sustainability aspects remain outside the current scope.
Future research must bridge the gap between this theoretical validation and real-world application. Priority should be given to testing the proposed framework against noisy, incomplete, and real-time operational datasets to establish external validity. Additional research avenues include extending the sustainability metrics to encompass Scope-3 emissions and social impact indicators, integrating explainable AI techniques to improve transparency, and embedding the predictive models within digital twin environments to support scenario analysis and decarbonization strategy evaluation.
In summary, this work provides a methodologically validated and extensible analytical framework for forecasting sustainable and digital supply chain performance. By extending the SCOR® 4.0 model and demonstrating its compatibility with MLP-based prediction under controlled conditions, the study contributes to the advancement of AI-driven performance modeling and lays a solid foundation for future empirical and applied research within the context of Supply Chain 5.0.