A Hybrid Temporal–Spatial Framework Incorporating Prior Knowledge for Predicting Sparse and Intermittent Item Demand
Source abstract
Abstract
Accurately forecasting demand for intermittent items is essential for effective inventory control, improved service levels, and cost reduction. This study focuses on highly sparse, irregular, and volatile demand patterns and proposes a generalizable multi-source data-driven framework for intermittent demand forecasting, using automotive spare parts as a representative application scenario. The proposed framework integrates Transformer networks, multi-graph convolutional networks (GCNs), and a Mamba-based feature fusion module. The Transformer captures long-term temporal dependencies in historical demand sequences, while the multi-graph GCN incorporates prior knowledge—including traffic geography, socioeconomic indicators, and environmental attributes—to model spatial correlations across multiple supply nodes. The Mamba-based fusion module then integrates temporal and spatial features into a unified representation, enhancing predictive accuracy and robustness. Extensive experiments on real-world datasets of automotive spare parts in China show that the proposed framework exhibits competitive and often superior performance compared with TiDE, FSNet, Informer, and DLinear across multiple forecasting horizons (3-, 6-, and 9-step), as measured by RMSE, MAE, and R2. The proposed approach provides a practical and adaptable solution for forecasting intermittent demand, offering valuable support for dynamic inventory management.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Forecasting Techniques and Applications · Traffic Prediction and Management Techniques · Energy Load and Power Forecasting
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Computer Science, Sichuan University, Chengdu 610065, China
School of Big Data and Artificial intelligence, Chengdu Technological University, Chengdu 611730, China
Department of Data Science, New Jersey Institute of Technology, Newark, NJ 07102, USA
Funding
National Natural Science Foundation of China · National Key R&D Program of China under Grant · the Science and Technology Project of Sichuan Province · Sichuan Provincial Key Laboratory Open Research Project
References (49)
Show source-provided references
1. Maintenance spare parts demand forecasting for automobile 4S shop considering weather data10.1109/TFUZZ.2018.2831637 ↗
2. Qiu, Q., Qin, C., Shi, J., and Zhou, H. (2019, January 6–9). Research on demand forecast of aircraft spare parts based on fractional order discrete grey model. Proceedings of the 2019 IEEE 5th International Conference on Computer and Communications (ICCC), Chengdu, China.10.1109/ICCC47050.2019.9064397 ↗
3. Jifri, M.H., Hassan, E.E., and Miswan, N.H. (2017, January 2–3). Forecasting performance of time series and regression in modeling electricity load demand. Proceedings of the 2017 7th IEEE international conference on system engineering and technology (ICSET), Shah Alam, Malaysia.10.1109/ICSEngT.2017.8123412 ↗
4. Forecasting sales in industrial services: Modeling business potential with installed base information10.1108/JOSM-09-2016-0250 ↗
5. Demand forecasting of spare parts with regression and machine learning methods: Application in a bus fleet10.1016/j.jer.2023.100057 ↗
6. Demand forecasting and inventory control: A simulation study on automotive spare parts10.1016/j.ijpe.2014.11.009 ↗
7. Forecasting vehicle’s spare parts price and demand10.1108/JQME-03-2020-0019 ↗
8. Demand forecasting of the automobile sales using least square, single exponential smoothing and double exponential smoothing10.9744/ijbs.4.2.122-130 ↗
9. Examination of demand forecasting by time series analysis for auto parts remanufacturing10.1186/s13243-015-0010-y ↗
10. RNN/LSTM with modified Adam optimizer in deep learning approach for automobile spare parts demand forecasting10.1007/s11042-021-10913-0 ↗
11. A Study on the Demand Prediction Model for Repair Parts of Automotive After-sales Service Center Using LSTM Artificial Neural Network
12. On the demand distributions of spare parts10.1080/00207543.2011.562561 ↗
13. Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method10.1007/s00500-015-1707-4 ↗
14. Differences in consumer intention to use on-demand automobile-related services in accordance with the degree of face-to-face interactions10.1016/j.techfore.2018.11.014 ↗
15. A review of anomaly detection in automated surveillance10.1109/TSMCC.2012.2215319 ↗
16. Forecasting intermittent demand in manufacturing: A comparative evaluation of Croston’s method10.1016/0169-2070(94)90021-3 ↗
17. Forecasting and stock control for intermittent demands10.1057/jors.1972.50 ↗
18. On the bias of intermittent demand estimates10.1016/S0925-5273(00)00143-2 ↗
19. A new method to forecast intermittent demand in the presence of inventory obsolescence10.1016/j.ijpe.2018.01.026 ↗
20. Collaborative multiview time series modeling for vehicle maintenance demand prediction10.1038/s41598-025-96720-1 ↗
21. A hybrid support vector machines and logistic regression approach for forecasting intermittent demand of spare parts
22. Climate change impacts on mode choices and travelled distances: A comparison of present with 2050 weather conditions for the Randstad Holland10.1016/j.jtrangeo.2012.11.004 ↗
23. Relationship between level of economic development and motorcycle and car ownerships and their impacts on fuel consumption and greenhouse gas emission in Thailand10.1016/j.rser.2010.07.034 ↗
24. BiLSTM-and GNN-Based Spatiotemporal Traffic Flow Forecasting with Correlated Weather Data10.1155/2023/8962283 ↗
25. Order dispatching via GNN-based optimization algorithm for on-demand food delivery10.1109/TITS.2024.3389090 ↗
26. Spatial origin-destination flow imputation using graph convolutional networks10.1109/TITS.2020.3003310 ↗
27. A systematic review for transformer-based long-term series forecasting10.1007/s10462-024-11044-2 ↗
28. DTSFormer: Decoupled temporal-spatial diffusion transformer for enhanced long-term time series forecasting10.1016/j.knosys.2024.112828 ↗
29. Ensemble learning for demand forecast of After-Market spare parts to empower data-driven value chain and an empirical study10.1016/j.cie.2023.109670 ↗
30. Assessing the impacts of driving environment on driving behavior patterns10.1007/s11116-018-9965-5 ↗
31. Ineffective built environment interventions: How to reduce driving in American suburbs?10.1016/j.tra.2023.103924 ↗
32. Optimising built environment to reduce car use: Spatial and attribute heterogeneity perspectives10.1016/j.trd.2025.104767 ↗
33. Transport and economic development: Reviewing the evidence10.1080/01441647.2011.603283 ↗
34. Mrozik, M., and Merkisz-Guranowska, A. (2020). Environmental assessment of the vehicle operation process. Energies, 14.10.3390/en14010076 ↗
35. Divide and augment: Supervised domain adaptation via sample-wise feature fusion10.1016/j.inffus.2024.102757 ↗
36. Interpretable degradation tensor modeling through multi-scale and multi-level time-frequency feature fusion for machine health monitoring10.1016/j.inffus.2025.102935 ↗
37. CHAMFormer: Dual heterogeneous three-stages coupling and multivariate feature-aware learning network for traffic flow forecasting10.1016/j.eswa.2024.126085 ↗
38. Railway cold chain freight demand forecasting with graph neural networks: A novel GraphARMA-GRU model10.1016/j.eswa.2024.124693 ↗
39. Chaudhry, A., Rohrbach, M., Elhoseiny, M., Ajanthan, T., Dokania, P.K., Torr, P.H., and Ranzato, M. (2019). On tiny episodic memories in continual learning. arXiv.
40. Dark experience for general continual learning: A strong, simple baseline
41. Kim, T., Kim, J., Tae, Y., Park, C., Choi, J.H., and Choo, J. (2021, January 3–7). Reversible instance normalization for accurate time-series forecasting against distribution shift. Proceedings of the International Conference on Learning Representations, Virtual Event.
42. Zhou, H., Zhang, S., Peng, J., Zhang, S., Li, J., Xiong, H., and Zhang, W. (2021, January 19–21). Informer: Beyond efficient transformer for long sequence time-series forecasting. Proceedings of the AAAI Conference on Artificial Intelligence, Virtual.10.1609/aaai.v35i12.17325 ↗
43. Woo, G., Liu, C., Sahoo, D., Kumar, A., and Hoi, S. (2022). Cost: Contrastive learning of disentangled seasonal-trend representations for time series forecasting. arXiv.
44. Zeng, A., Chen, M., Zhang, L., and Xu, Q. (2023, January 7–14). Are transformers effective for time series forecasting?. Proceedings of the AAAI Conference on Artificial Intelligence, Washington, DC, USA.
45. Das, A., Kong, W., Leach, A., Mathur, S., Sen, R., and Yu, R. (2023). Long-term forecasting with tide: Time-series dense encoder. arXiv.
46. Pham, Q., Liu, C., Sahoo, D., and Hoi, S.C. (2022). Learning fast and slow for online time series forecasting. arXiv.
47. Onenet: Enhancing time series forecasting models under concept drift by online ensembling
48. Is mamba effective for time series forecasting?10.1016/j.neucom.2024.129178 ↗
49. RLMamba: Integrating residual learning with Mamba for long-term time series forecasting10.1016/j.eswa.2025.127362 ↗