A general Farkas lemma and characterization of optimality for a nonsmooth program involving convex processes

1987 ◽  
Vol 55 (3) ◽  
pp. 449-461 ◽  
Author(s):  
V. Jeyakumar
Keyword(s):  
Convex Processes ◽  
Farkas Lemma ◽  
Characterization Of Optimality

A note on optimal inspection policy for stochastically deteriorating series systems

1991 ◽  
Vol 28 (4) ◽  
pp. 934-939 ◽  
Author(s):  
Yuping Qiu
Keyword(s):  
Necessary Conditions ◽  
Inspection Policy ◽  
Limiting Case ◽  
Series Systems ◽  
Special Case ◽  
Characterization Of Optimality

A counterexample is given to demonstrate that a previously proposed characterization of optimal inspection policy for series systems is not correct in the discounted case. A set of valid necessary conditions is provided which leads to the characterization of optimality for a special case. The limiting case of these necessary conditions is also examined.

On A characterization of optimality in convex programming

1976 ◽  
Vol 11 (1) ◽  
pp. 81-88 ◽  
Author(s):  
A. Ben-Israel ◽  
A. Ben-Tal
Keyword(s):  
Convex Programming ◽  
Characterization Of Optimality

scholarly journals Facial reduction for a cone-convex programming problem

1981 ◽  
Vol 30 (3) ◽  
pp. 369-380 ◽  
Author(s):  
Jon M. Borwein ◽  
Henry Wolkowicz
Keyword(s):  
Dimensional Space ◽  
Convex Programming Problem ◽  
Finite Dimensional Space ◽  
Facial Reduction ◽  
Finite Dimensional ◽  
Arbitrary Convex ◽  
Lagrange Multiplier Theorem ◽  
Image Position ◽  
Characterization Of Optimality

AbstractIn this paper we study the abstract convex programwhere S is an arbitrary convex cone in a finite dimensional space, Ω is a convex set and p and g are respectively convex and S (on Ω). We use the concept of a minimal cone for (P) to correct and strengthen a previous characterization of optimality for (P), see Theorem 3.2. The results presented here are used in a sequel to provide a Lagrange multiplier theorem for (P) which holds without any constraint qualification.

A note on optimal inspection policy for stochastically deteriorating series systems

1991 ◽  
Vol 28 (04) ◽  
pp. 934-939 ◽  
Author(s):  
Yuping Qiu
Keyword(s):  
Necessary Conditions ◽  
Inspection Policy ◽  
Limiting Case ◽  
Series Systems ◽  
Special Case ◽  
Characterization Of Optimality

A counterexample is given to demonstrate that a previously proposed characterization of optimal inspection policy for series systems is not correct in the discounted case. A set of valid necessary conditions is provided which leads to the characterization of optimality for a special case. The limiting case of these necessary conditions is also examined.

Morphological Characterization of Mycobacteriophage R1

1974 ◽  
Vol 32 ◽  
pp. 254-255
Author(s):  
B. L. Soloff ◽  
T. A. Rado
Keyword(s):  
Carbon Source ◽  
Stationary Phase ◽  
Growth Phase ◽  
Minimal Medium ◽  
Morphological Characterization ◽  
Logarithmic Growth Phase ◽  
Complete Lysis ◽  
Lysogenic Culture ◽  
Logarithmic Growth

Mycobacteriophage R1 was originally isolated from a lysogenic culture of M. butyricum. The virus was propagated on a leucine-requiring derivative of M. smegmatis, 607 leu−, isolated by nitrosoguanidine mutagenesis of typestrain ATCC 607. Growth was accomplished in a minimal medium containing glycerol and glucose as carbon source and enriched by the addition of 80 μg/ ml L-leucine. Bacteria in early logarithmic growth phase were infected with virus at a multiplicity of 5, and incubated with aeration for 8 hours. The partially lysed suspension was diluted 1:10 in growth medium and incubated for a further 8 hours. This permitted stationary phase cells to re-enter logarithmic growth and resulted in complete lysis of the culture.

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