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Open AccessDOI: 10.1631/ENG_ITEE_2025_0005Original Research

FTHOE: a Hamiltonian-driven fault-tolerant routing algorithm for wafer-scale interconnection networks

Shuaikang Hou¹,Qinrang Liu¹,Wenbo Zhang¹,Ping Lv¹,Peijie Li¹,Wei Guo¹

Information Engineering University, Zhengzhou 450001, China; Institute of Big Data, Fudan University, Shanghai 200433, China

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FTHOE: a Hamiltonian-driven fault-tolerant routing algorithm for wafer-scale interconnection networks
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Published In
Engineering Information Technology & Electronic Engineering
Published:April 7, 2025Edition:Vol. 32, Issue 4 • pp. 559-571Citation:Shuaikang Hou et al. (2025), Engineering Information Technology & Electronic Engineering
Impact Factor2.7 (Q2 - Springer)
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Keywords & Index Terms:Wafer-scale interconnection networkFault-tolerant routingHamiltonian pathOdd-even turn modelLoad balancingNetwork-on-chipFault toleranceSystem reliability

Key Takeaways & Executive Findings

  • • FTHOE is a virtual-channel-less fault-tolerant routing algorithm for wafer-scale interconnection networks, combining Hamiltonian routing with the odd-even turn model to achieve load balancing. • The algorithm dynamically adjusts output port selection priority using local fault vector information, shortening detour paths and reducing the probability of packet trapping in faulty regions. • FTHOE preserves minimal path diversity and adaptivity under fault conditions, enhancing network load-balancing and communication performance. • Simulations show that FTHOE significantly reduces average network latency and improves throughput compared to existing fault-tolerant routing algorithms in complex fault scenarios.
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Abstract

As application scenarios continue to grow in complexity, wafer-scale systems impose increasingly stringent requirements on the reliability of interconnection networks. Under inevitable process-induced manufacturing defects and environmental disturbances, node and link faults occur frequently in wafer-scale interconnection networks, making fault tolerance a key factor in improving overall system reliability. To address chiplet node faults and link faults in wafer-scale interconnection networks, this paper proposes a load-balancing virtual-channel-less fault-tolerant routing algorithm, termed FTHOE. The proposed algorithm is based on a Hamiltonian routing strategy and the odd–even turn model. By exploiting local fault vector information at the current node, FTHOE dynamically adjusts the output port selection priority, thereby shortening detour paths around faulty regions while effectively reducing the probability of packets being trapped in fault neighborhoods. At the same time, FTHOE preserves a relatively high degree of minimal path diversity by retaining the adaptiveness of Hamiltonian-based routing under fault conditions, thereby enhancing network load-balancing and overall communication performance. Simulation results demonstrate that, compared with existing fault-tolerant routing algorithms, FTHOE significantly reduces average network latency and improves throughput, exhibiting robust fault tolerance and load-balancing performance under complex fault scenarios.

1. Introduction

With the gradual slowdown of Moore's law (Moore, 1998) and the breakdown of Dennard scaling (Bohr, 2007), the traditional approach of achieving performance improvements solely through transistor scaling has become increasingly unsustainable. Conventional integrated circuit design is therefore confronted with multiple constraints simultaneously, including physical, packaging, and yield limits. Against this background, wafer-scale systems, which integrate a large number of pre-fabricated chiplets for computation, memory, and specialized acceleration on a single wafer, have gradually emerged as an important development direction for high-performance computing in the post-Moore era. Compared with single-chip solutions that rely on advanced process nodes, wafer-scale systems can achieve higher bandwidth density, lower communication latency, and better energy efficiency using more mature process technologies (Hu et al., 2024).

In recent years, both industry and academia have made significant progress in wafer-scale integration and emerging system architectures. For example, the wafer-scale engine (WSE) series (Pal et al., 2021) developed by Cerebras Systems integrates hundreds of thousands of computing cores on a single wafer and enables ultra-large-scale parallel computation through a high-bandwidth interconnection network. Tesla's Dojo system (Pal et al., 2019) constructs wafer-scale interconnects using a regular two-dimensional (2D) topology, achieving efficient inter-chiplet communication. In addition, a software-defined system on wafer (SDSoW) (Wu et al., 2024) reconstructs the system design paradigm through hardware–software co-design, providing a new technological path for large-scale heterogeneous integration. These representative systems collectively indicate that the interconnection network has become a key infrastructure determining the performance, energy efficiency, and reliability of wafer-scale systems.

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Cite This Research Paper
Shuaikang Hou, Qinrang Liu, Wenbo Zhang, Ping Lv, Peijie Li, Wei Guo (2025). FTHOE: a Hamiltonian-driven fault-tolerant routing algorithm for wafer-scale interconnection networks. Engineering Information Technology & Electronic Engineering. https://doi.org/10.1631/ENG_ITEE_2025_0005
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Frequently Asked Questions

What is FTHOE?

FTHOE is a Hamiltonian-driven fault-tolerant routing algorithm proposed for wafer-scale interconnection networks. It uses local fault vector information and the odd-even turn model to dynamically adjust output port selection priority, thereby shortening detour paths around faulty regions and reducing the probability of packets being trapped in fault neighborhoods.

What types of faults does FTHOE address?

FTHOE addresses both chiplet node faults and link faults in wafer-scale interconnection networks. These faults can arise from process-induced manufacturing defects and environmental disturbances.

How does FTHOE improve network performance?

FTHOE improves network performance by reducing average network latency and increasing throughput under complex fault scenarios. It maintains a high degree of minimal path diversity and adaptivity, enhancing load balancing and overall communication performance.

What is the significance of wafer-scale systems?

Wafer-scale systems integrate a large number of pre-fabricated chiplets on a single wafer, enabling higher bandwidth density, lower communication latency, and better energy efficiency in the post-Moore era. They are considered a key direction for high-performance computing.

What are the key design mechanisms of FTHOE?

FTHOE combines a Hamiltonian routing strategy with the odd-even turn model. It exploits local fault vector information at each node to dynamically adjust output port selection priority, shortening detour paths and preventing packet trapping while preserving adaptiveness and load balancing.

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