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C.c. Scaief - One of the best experts on this subject based on the ideXlab platform.
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acceptance test report for ams 4 continuous air monitors cam at 241an Exhausters
Other Information: PBD: 11 Nov 1999, 1999Co-Authors: C.c. ScaiefAbstract:This report provides the completed copy and test results of the Acceptance Test Procedure (TWR-4713). Test results were actually hand written in the ATP including redline changes. All acceptance criteria steps were completed satisfactorily without exceptions.
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Engineering task plan for continuous air monitor (CAM) upgrades
1999Co-Authors: C.c. ScaiefAbstract:This document provides a plan for replacement of existing Continuous Air Monitors (CAM) in the tank annuli and K1 and K2 Exhausters for selected Tank Farm facilities. Requirements are included.
Mustafa Soyertem - One of the best experts on this subject based on the ideXlab platform.
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reduction of Exhausters by set order relations and cones
arXiv: Optimization and Control, 2021Co-Authors: Mustafa Soyertem, İlknur Atasever Güvenç, Didem TozkanAbstract:The notions of upper and lower Exhausters are effective tools for the study of non smooth functions. There are many studies presenting optimality conditions for unconstrained and constrained cases. One can observe that optimality conditions in terms of both proper and adjoint Exhausters are related to all elements of the Exhausters. Moreover, in the constrained case the conditions that must be provided for a particular cone determined by constraint set and the point (to be checked whether it is optimal) are rather challenging to check. Thus it is advantageous to reduce the number of sets in the exhauster for constrained case. In this work, we first consider constrained optimization problems and deal with the problem of reducing generalized Exhausters of the directional derivative of the objective function. We present some results to reduce generalized lower (upper) Exhausters by using set order relations $\preceq^{m_1}$ and $\preceq^{m_2}$, respectively. Furthermore, we show that a generalized exhauster $E$ can be reduced to the set of minimal elements of $E$ with respect to $\preceq^{m_1}$ or $\preceq^{m_2}$. Then considering unconstrained optimization problems, lower Exhausters are reduced by using cones.
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some relationships among quasidifferential weak subdifferential and Exhausters
Optimization, 2016Co-Authors: Mahide Küçük, Jerzy Grzybowski, Yalçın Küçük, Ryszard Urbański, İlknur Atasever Güvenç, Didem Tozkan, Mustafa SoyertemAbstract:In this study, some relationships between quasidifferentiability and weakly subdifferentiability of a function are investigated, and some results on calculating the quasidifferential in terms of weak Exhausters are presented. Moreover, under some assumptions weak subdifferentiability of a quasidifferentiable function is proved and the weak subdifferential is obtained by using the quasidifferential. Under some assumptions, it is proved that a positively homogeneous and lower semicontinuous function is quasidifferentiable. It is also shown that directional differentiability and weak subdifferentiability imply quasidifferentiability. Furthermore, a method to evaluate the quasidifferential is given by using reduced weak lower Exhausters.
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weak subdifferential superdifferential weak Exhausters and optimality conditions
Optimization, 2015Co-Authors: Mahide Küçük, Jerzy Grzybowski, Yalçın Küçük, Ryszard Urbański, Didem Tozkan, Atasever I Guvenc, Mustafa SoyertemAbstract:In this work, the notion of weak superdifferential is presented. Some calculation rules are given to evaluate weak subdifferential and weak superdifferential of some classes of functions represented by support functions. Moreover, some methods are obtained to calculate weak subdifferential of convex functions. In addition, the concept of weak lower and weak upper Exhausters of positively homogeneous functions are introduced by using weak subdifferential and weak superdifferential, respectively. In terms of weak Exhausters, some optimality conditions are given to find local or global minimizers/maximizers of some classes of functions.
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Reduction of Weak Exhausters and Optimality Conditions via Reduced Weak Exhausters
Journal of Optimization Theory and Applications, 2015Co-Authors: Mahide Küçük, Jerzy Grzybowski, Yalçın Küçük, Ryszard Urbański, İlknur Atasever Güvenç, Didem Tozkan, Mustafa SoyertemAbstract:In this work, it is proved that weak Exhausters of a positively homogeneous function can be reduced if weak subdifferential/superdifferential can be represented as the sum of a subset of it and weak subdifferential of zero function. It is also shown that weak Exhausters can be reduced if this subset is the set of minimal elements of weak subdifferential/superdifferential with respect to weak subdifferential of zero function. At the end, some optimality conditions are given using reduced weak Exhausters.
Soyertem Mustafa - One of the best experts on this subject based on the ideXlab platform.
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Reduction of Exhausters by Set Order Relations and Cones
2021Co-Authors: Soyertem Mustafa, Güvenç, İlknur Atasever, Tozkan DidemAbstract:The notions of upper and lower Exhausters are effective tools for the study of non smooth functions. There are many studies presenting optimality conditions for unconstrained and constrained cases. One can observe that optimality conditions in terms of both proper and adjoint Exhausters are related to all elements of the Exhausters. Moreover, in the constrained case the conditions that must be provided for a particular cone determined by constraint set and the point (to be checked whether it is optimal) are rather challenging to check. Thus it is advantageous to reduce the number of sets in the exhauster for constrained case. In this work, we first consider constrained optimization problems and deal with the problem of reducing generalized Exhausters of the directional derivative of the objective function. We present some results to reduce generalized lower (upper) Exhausters by using set order relations $\preceq^{m_1}$ and $\preceq^{m_2}$, respectively. Furthermore, we show that a generalized exhauster $E$ can be reduced to the set of minimal elements of $E$ with respect to $\preceq^{m_1}$ or $\preceq^{m_2}$. Then considering unconstrained optimization problems, lower Exhausters are reduced by using cones.Comment: 17 pages, 2 figure
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Reduction of Weak Exhausters and Optimality Conditions via Reduced Weak Exhausters
'Springer Science and Business Media LLC', 2015Co-Authors: Küçük M., Urba?ski R., Grzybowski J., Küçük Y., Güvenç İ.a., Tozkan D., Soyertem MustafaAbstract:In this work, it is proved that weak Exhausters of a positively homogeneous function can be reduced if weak subdifferential/superdifferential can be represented as the sum of a subset of it and weak subdifferential of zero function. It is also shown that weak Exhausters can be reduced if this subset is the set of minimal elements of weak subdifferential/superdifferential with respect to weak subdifferential of zero function. At the end, some optimality conditions are given using reduced weak Exhausters. © 2014, Springer Science+Business Media New York
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Weak subdifferential/superdifferential, weak Exhausters and optimality conditions
'Informa UK Limited', 2015Co-Authors: Küçük M., Urba?ski R., Grzybowski J., Küçük Y., Tozkan D., Atasever Güvenç İ., Soyertem MustafaAbstract:In this work, the notion of weak superdifferential is presented. Some calculation rules are given to evaluate weak subdifferential and weak superdifferential of some classes of functions represented by support functions. Moreover, some methods are obtained to calculate weak subdifferential of convex functions. In addition, the concept of weak lower and weak upper Exhausters of positively homogeneous functions are introduced by using weak subdifferential and weak superdifferential, respectively. In terms of weak Exhausters, some optimality conditions are given to find local or global minimizers/maximizers of some classes of functions. © 2014 Taylor & Francis.Firat University Scientific Research Projects Management Unit: 1201F018This study was supported by Anadolu University Scientific Research Projects Commission [grant number 1201F018]
Mahide Küçük - One of the best experts on this subject based on the ideXlab platform.
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some relationships among quasidifferential weak subdifferential and Exhausters
Optimization, 2016Co-Authors: Mahide Küçük, Jerzy Grzybowski, Yalçın Küçük, Ryszard Urbański, İlknur Atasever Güvenç, Didem Tozkan, Mustafa SoyertemAbstract:In this study, some relationships between quasidifferentiability and weakly subdifferentiability of a function are investigated, and some results on calculating the quasidifferential in terms of weak Exhausters are presented. Moreover, under some assumptions weak subdifferentiability of a quasidifferentiable function is proved and the weak subdifferential is obtained by using the quasidifferential. Under some assumptions, it is proved that a positively homogeneous and lower semicontinuous function is quasidifferentiable. It is also shown that directional differentiability and weak subdifferentiability imply quasidifferentiability. Furthermore, a method to evaluate the quasidifferential is given by using reduced weak lower Exhausters.
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weak subdifferential superdifferential weak Exhausters and optimality conditions
Optimization, 2015Co-Authors: Mahide Küçük, Jerzy Grzybowski, Yalçın Küçük, Ryszard Urbański, Didem Tozkan, Atasever I Guvenc, Mustafa SoyertemAbstract:In this work, the notion of weak superdifferential is presented. Some calculation rules are given to evaluate weak subdifferential and weak superdifferential of some classes of functions represented by support functions. Moreover, some methods are obtained to calculate weak subdifferential of convex functions. In addition, the concept of weak lower and weak upper Exhausters of positively homogeneous functions are introduced by using weak subdifferential and weak superdifferential, respectively. In terms of weak Exhausters, some optimality conditions are given to find local or global minimizers/maximizers of some classes of functions.
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Reduction of Weak Exhausters and Optimality Conditions via Reduced Weak Exhausters
Journal of Optimization Theory and Applications, 2015Co-Authors: Mahide Küçük, Jerzy Grzybowski, Yalçın Küçük, Ryszard Urbański, İlknur Atasever Güvenç, Didem Tozkan, Mustafa SoyertemAbstract:In this work, it is proved that weak Exhausters of a positively homogeneous function can be reduced if weak subdifferential/superdifferential can be represented as the sum of a subset of it and weak subdifferential of zero function. It is also shown that weak Exhausters can be reduced if this subset is the set of minimal elements of weak subdifferential/superdifferential with respect to weak subdifferential of zero function. At the end, some optimality conditions are given using reduced weak Exhausters.
O D Nelson - One of the best experts on this subject based on the ideXlab platform.
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project w 320 backup 1000 cfm portable Exhausters acceptance for beneficial use
Other Information: PBD: 25 Jul 1998, 1998Co-Authors: O D NelsonAbstract:This document is to identify the Project W-320 1000 CFM portable exhauster documentation required to be turned over from the Projects Organization to the Tank Farm Operations as part of the acceptance of the 1000 CFM portable Exhausters for beneficial use.
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portable Exhausters por 004 skid b por 005 skid c por 006 skid d storage plan
Other Information: PBD: 4 Sep 1997, 1997Co-Authors: O D NelsonAbstract:This document provides a storage plan for portable Exhausters POR-004 SKID B, POR-005 SKID C, AND POR-006 SKID D. The Exhausters will be stored until they are needed by the TWRS (Tank Waste Remediation Systems) Saltwell Pumping Program. The storage plan provides criteria for portable exhauster storage, periodic inspections during storage, and retrieval from storage.