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We mathematically construct focal lenses for positive-mass particles in Minkowski space. Particles emanating from a point source, refocus with synchronized proper time regardless of initial direction and velocity. Minkowski space offers a useful repr
Externí odkaz:
http://arxiv.org/abs/2306.08307
Publikováno v:
In European Journal of Operational Research 16 September 2024 317(3):748-761
Publikováno v:
Phys. Rev. E 103, 062310 (2021)
Airlines use different boarding policies to organize the queue of passengers waiting to enter the airplane. We analyze three policies in the many-passenger limit by a geometric representation of the queue position and row designation of each passenge
Externí odkaz:
http://arxiv.org/abs/2012.11246
Publikováno v:
Phys. Rev. E 100, 062313 (2019)
We study airplane boarding in the limit of large number of passengers using geometric optics in a Lorentzian metric. The airplane boarding problem is naturally embedded in a 1+1 dimensional space-time with a flat Lorentzian metric. The duration of th
Externí odkaz:
http://arxiv.org/abs/1906.05018
Akademický článek
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Publikováno v:
In Performance Evaluation September 2020 142
Autor:
Bachmat, Eitan
Publikováno v:
In European Journal of Operational Research 16 June 2019 275(3):1165-1177
Autor:
Bachmat, Eitan
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
Includes bibliographical references (p. 27-29).
by Eitan Bachmat.
Ph.D.
Includes bibliographical references (p. 27-29).
by Eitan Bachmat.
Ph.D.
Externí odkaz:
http://hdl.handle.net/1721.1/28095
Autor:
Bachmat, Eitan
We survey some results about the asymptotic behavior of discrete spacetime models, which appeared in diverse settings in the physics and math literature. We then discuss some recent applications, including scheduling in disk drives and analysis of ai
Externí odkaz:
http://arxiv.org/abs/gr-qc/0702140