Abstract
On April 22, 1988 James McKenna from AT&T made a presentation of several problem areas of present interest to AT&T scientists. His talk is reviewed below.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L.F. Dubins, On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents, Amer. J. Math., 79 (1957), 497–516.
J.A. Reeds and L.A. Shepp, Optimal paths for a car that goes both forward and backwards, Technical Report, AT&T, 1987.
S. Fortune and G. Wilfong, Planning constrained motion, to appear in Proceedings STOC 1988.
G. Wilfong, Motion planning for an autonomous vehicle, Technical Report, AT&T, 1988.
W.E. Langlois, Buoyancy-driven flows in crystal-growth melts, Ann. Rev. Fluid Mech., 17 (1985), 191–215.
A.D.W. Jones, Scaling analysis of the flow of a low Prandtl number czochraeski melt, J. of Crystal Growth, 88 (1988), 465–476.
R.B. Marcus and T.T. Sheng, The oxidation of shaped silicon surfaces, J. Electrochem. Soc, 129 (1982), 1278–1282.
D. Chin, S.Y. Oh, S.M. Hu, R.W. Dutton, and J.L. Moll, Two dimensional oxidation, IEEE Trans. Electron Dev. ED-30 (1983), 744–749.
T.L. Tung and D.A. Antoniadis, A boundary integral equation approach to oxidation modelling, IEEE Trans. Electron Dev., ED-32 (1985), 1954–1959.
A.B. Tayler and J.R. King, Free boundaries in semiconductor fabrication, to appear.
J.R. Jackson, Networks of waiting lines, Oper. Res., 5 (1975), 518–521.
M.I. Reiman, Queuing networks in heavy traffic, Ph.D. Dissertation, Dep. of Operation Research, Stanford University, Stanford, Calif. 1977.
M.I. Reiman, Open queuing networs in heavy traffic, Math. Oper. Research, 9 (1984), 441–458.
J.M. Harrison and M.I. Reiman, On the distribution of multidimensional reflected Brownian motion, SIAM J. Appl. Math., 41 (1981), 345–161.
G. Foschini, Equilibria for diffusion models of pairs of communicating computers-symmetric case, IEEE Trans. Inform. Theory, IT-28, no.2, 1982, 273–284.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Friedman, A. (1988). A Selection of Applied Mathematics Problems. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and Its Applications, vol 16. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7399-9_18
Download citation
DOI: https://doi.org/10.1007/978-1-4615-7399-9_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4615-7401-9
Online ISBN: 978-1-4615-7399-9
eBook Packages: Springer Book Archive