Computing Moments of the Exit Distribution for Diffusion Processes Using Linear Programming

An effective problem decomposition method for scheduling of diffusion processes based on mixed integer linear programming

ASMC 2013 SEMI Advanced Semiconductor Manufacturing Conference ◽

10.1109/asmc.2013.6552771 ◽

2013 ◽

Author(s):

Chihyun Jung ◽

Detlef Pabst ◽

Myoungsoo Ham ◽

Marcel Stehli ◽

Marcel Rothe

Keyword(s):

Linear Programming ◽

Integer Linear Programming ◽

Mixed Integer Linear Programming ◽

Decomposition Method ◽

Diffusion Processes ◽

Mixed Integer ◽

Problem Decomposition ◽

Effective Problem

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An Effective Problem Decomposition Method for Scheduling of Diffusion Processes Based on Mixed Integer Linear Programming

IEEE Transactions on Semiconductor Manufacturing ◽

10.1109/tsm.2014.2337310 ◽

2014 ◽

Vol 27 (3) ◽

pp. 357-363 ◽

Cited By ~ 19

Author(s):

Chihyun Jung ◽

Detlef Pabst ◽

Myoungsoo Ham ◽

Marcel Stehli ◽

Marcel Rothe

Keyword(s):

Linear Programming ◽

Integer Linear Programming ◽

Mixed Integer Linear Programming ◽

Decomposition Method ◽

Diffusion Processes ◽

Mixed Integer ◽

Problem Decomposition ◽

Effective Problem

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Linear Programming and the Control of Diffusion Processes

INFORMS Journal on Computing ◽

10.1287/ijoc.2015.0651 ◽

2015 ◽

Vol 27 (4) ◽

pp. 646-657 ◽

Cited By ~ 5

Author(s):

Andrew Ahn ◽

Martin Haugh

Keyword(s):

Linear Programming ◽

Diffusion Processes

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Meridional Circulation, Turbulence, and Diffusion Processes in Stars

International Astronomical Union Colloquium ◽

10.1017/s0252921100080477 ◽

1976 ◽

Vol 32 ◽

pp. 109-116 ◽

Cited By ~ 1

Author(s):

S. Vauclair

Keyword(s):

Convection Zone ◽

Diffusion Processes ◽

Meridional Circulation ◽

Diffusion Time ◽

Work In Progress ◽

First Results ◽

Stellar Envelopes ◽

And Diffusion ◽

Turbulence And Diffusion ◽

Hr Diagram

This paper gives the first results of a work in progress, in collaboration with G. Michaud and G. Vauclair. It is a first attempt to compute the effects of meridional circulation and turbulence on diffusion processes in stellar envelopes. Computations have been made for a 2 Mʘstar, which lies in the Am - δ Scuti region of the HR diagram.Let us recall that in Am stars diffusion cannot occur between the two outer convection zones, contrary to what was assumed by Watson (1970, 1971) and Smith (1971), since they are linked by overshooting (Latour, 1972; Toomre et al., 1975). But diffusion may occur at the bottom of the second convection zone. According to Vauclair et al. (1974), the second convection zone, due to He II ionization, disappears after a time equal to the helium diffusion time, and then diffusion may happen at the bottom of the first convection zone, so that the arguments by Watson and Smith are preserved.

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