Workflow decomposition algorithm for scheduling with quantum annealer-based hybrid solver

📅 2025-06-02
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
Quantum annealing hybrid solvers (e.g., D-Wave’s Constrained Quadratic Model solver) face severe capacity limitations, preventing direct optimization of large-scale workflow scheduling problems (WSPs). Method: This paper proposes the Series-Parallel Workflow Decomposition (SPWD) heuristic—a novel structured graph decomposition technique integrated into the quantum hybrid solving framework. SPWD automatically partitions ultra-large WSP instances into solver-constrained subproblems while preserving structural dependencies and coordinating their schedules to ensure global feasibility. Contribution/Results: Evaluated on the WfCommons benchmark suite, SPWD successfully solves real-world workflow instances several times larger than the native solver’s capacity, maintaining solution quality and demonstrating strong scalability and engineering practicality. The core contribution lies in overcoming hardware-imposed size constraints and establishing the first structured, workflow-aware decomposition paradigm tailored for quantum hybrid optimization.

Technology Category

Constraint Satisfaction and Optimization: Distributed CSP/OptimizationSearch and Optimization: Mixed Discrete/Continuous SearchPlanning, Routing, and Scheduling: Optimization of Spatio-temporal Systems

Application Category

Graph Algorithms and Modeling for the Web: Querying, indexing, and retrieval in Web-related graphsResponsible Web: Human-perceived consequences of algorithmic deployment on the webSearch and Retrieval-Augmented AI: Efficiency and scalability of Web search engines
📝 Abstract
We introduce the Series-Parallel Workflow Decomposition (SP-WD) heuristic algorithm for the Workflow Scheduling Problem (WSP) decomposition. We demonstrate that the SPWD algorithm facilitates the scheduling of large WSP instances with the hybrid D-Wave Constrained Quadratic Model solver, enabling the scheduling of instances that would otherwise exceed its capacity limitations. We also describe the accompanying execution environment used to obtain the results of the experiments with real-life workflow instances available in the WfCommons standardization initiative repository.
Problem

Research questions and friction points this paper is trying to address.

Decomposing workflow scheduling for quantum annealing
Enabling large-scale scheduling via hybrid solver
Integrating real-life workflows from WfCommons repository
Innovation

Methods, ideas, or system contributions that make the work stand out.

Series-Parallel Workflow Decomposition heuristic algorithm
Hybrid D-Wave Constrained Quadratic Model solver
Execution environment for real-life workflow instances
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