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Derivative-free optimization of a rapid-cycling synchrotron

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Abstract

We develop and solve a constrained optimization model to identify an integrable optics rapid-cycling synchrotron lattice design that performs well in several capacities. Our model encodes the design criteria into 78 linear and nonlinear constraints, as well as a single nonsmooth objective, where the objective and some constraints are defined from the output of Synergia, an accelerator simulator. We detail the difficulties of optimizing within the 32-dimensional, simulation-constrained decision space and establish that the space is nonempty. We use a derivative-free manifold sampling algorithm to account for structured nondifferentiability in the objective function. Our numerical results quantify the dependence of approximate solutions on constraint parameters and the effect of the form of objective function.

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Acknowledgements

We gratefully acknowledge the computing resources provided on Bebop, a high-performance computing cluster operated by the Laboratory Computing Resource Center at Argonne National Laboratory.

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Correspondence to Misha Padidar.

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This manuscript is based upon work supported by the applied mathematics and the Scientific Discovery through Advanced Computing (SciDAC) programs of the Office of Advanced Scientific Computing Research, Office of Science, U.S. Department of Energy, under Contract DE-AC02-06CH11357. This manuscript has been authored by Fermi Research Alliance, LLC under Contract DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics. Synergia development has been supported by the Office of Advanced Scientific Computing Research and Office of High Energy Physics SciDAC program.

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Eldred, J.S., Larson, J., Padidar, M. et al. Derivative-free optimization of a rapid-cycling synchrotron. Optim Eng 24, 1289–1319 (2023). https://doi.org/10.1007/s11081-022-09733-4

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  • DOI: https://doi.org/10.1007/s11081-022-09733-4

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