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Real World Application of Quantum-Classical Optimization for Production Scheduling

2024/08/03 by Abhishek Awasthi, Awasthi, Abhishek, Nico Kraus +5 · 1 citation
Business, Management and Accounting · Computer Science · #Advanced Queuing Theory Analysis #Cloud Computing and Resource Management #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2408.01641

openalex publication_date 2024/08/03 · openalex created_date 2025/01/17 · openalex updated_date 2026/07/28

Abstract

This work is a benchmark study for quantum-classical computing method with a real-world optimization problem from industry. The problem involves scheduling and balancing jobs on different machines, with a non-linear objective function. We first present the motivation and the problem description, along with different modeling techniques for classical and quantum computing. The modeling for classical solvers has been done as a mixed-integer convex program, while for the quantum-classical solver we model the problem as a binary quadratic program, which is best suited to the D-Wave Leap's Hybrid Solver. This ensures that all the solvers we use are fetched with dedicated and most suitable model(s). Henceforth, we carry out benchmarking and comparisons between classical and quantum-classical methods, on problem sizes ranging till approximately 150000 variables. We utilize an industry grade classical solver and compare its results with D-Wave Leap's Hybrid Solver. The results we obtain from D-Wave are highly competitive and sometimes offer speedups, compared to the classical solver.

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