characterization of optimality
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1991 ◽  
Vol 28 (4) ◽  
pp. 934-939 ◽  
Author(s):  
Yuping Qiu

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.


1991 ◽  
Vol 28 (04) ◽  
pp. 934-939 ◽  
Author(s):  
Yuping Qiu

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.


Author(s):  
Jon M. Borwein ◽  
Henry Wolkowicz

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.


1976 ◽  
Vol 11 (1) ◽  
pp. 81-88 ◽  
Author(s):  
A. Ben-Israel ◽  
A. Ben-Tal

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