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2Dynamical systems
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An extended lifetime measure for telecommunication network

- Dzalilov, Zari, Ouveysi, Iradj, Rubinov, Alex

**Authors:**Dzalilov, Zari , Ouveysi, Iradj , Rubinov, Alex**Date:**2008**Type:**Text , Journal article**Relation:**Journal of Industrial and Management Optimization Vol. 4, no. 2 (2008), p. 329-337**Full Text:****Reviewed:****Description:**A new measure for network performance evaluation called topology lifetime was introduced in [4, 5]. This measure is based on the notion of unexpected traffic growth and can be used for comparison of topologies. We discuss some advantages and disadvantages of the approach of [4] and suggest some modifications to this approach. In particular we discuss how to evaluate the influence of a subgraph to the lifetime measure and introduce the notion of the order of a path. This notion is useful if we consider a possible extension to the set of working paths in order to support the traffic for the time that is needed for installation of new facilities.

**Authors:**Dzalilov, Zari , Ouveysi, Iradj , Rubinov, Alex**Date:**2008**Type:**Text , Journal article**Relation:**Journal of Industrial and Management Optimization Vol. 4, no. 2 (2008), p. 329-337**Full Text:****Reviewed:****Description:**A new measure for network performance evaluation called topology lifetime was introduced in [4, 5]. This measure is based on the notion of unexpected traffic growth and can be used for comparison of topologies. We discuss some advantages and disadvantages of the approach of [4] and suggest some modifications to this approach. In particular we discuss how to evaluate the influence of a subgraph to the lifetime measure and introduce the notion of the order of a path. This notion is useful if we consider a possible extension to the set of working paths in order to support the traffic for the time that is needed for installation of new facilities.

A lifetime measure for telecommunication network : Theoretical aspects

- Dzalilov, Zari, Rubinov, Alex, Ouveysi, Iradj

**Authors:**Dzalilov, Zari , Rubinov, Alex , Ouveysi, Iradj**Date:**2003**Type:**Text , Conference paper**Relation:**Paper presented at ICON 2003 - 2003 11th IEEE International Conference on Networks, Sydney : 28th September, 2003**Full Text:****Reviewed:****Description:**A new measure for network performance evaluation called topology lifetime was introduced in [Maxemchuk, N et al., May 2002], see also [Maxemchuk, N et al.]. This measure is based on the notion of unexpected traffic growth and can be used for comparison of topologies. We discuss some advantages and disadvantages of the approach from [Maxemchuk, N et al., May 2002] and suggest some modifications to this approach. In particular we discuss how to evaluate the influence of a subgraph to the lifetime measure and introduce the notion of the order of a path. This notion is useful if we consider a possible extension to the set of working paths in order to support the traffic for the time that is needed for installation of new facilities.**Description:**E1**Description:**2003000361

**Authors:**Dzalilov, Zari , Rubinov, Alex , Ouveysi, Iradj**Date:**2003**Type:**Text , Conference paper**Relation:**Paper presented at ICON 2003 - 2003 11th IEEE International Conference on Networks, Sydney : 28th September, 2003**Full Text:****Reviewed:****Description:**A new measure for network performance evaluation called topology lifetime was introduced in [Maxemchuk, N et al., May 2002], see also [Maxemchuk, N et al.]. This measure is based on the notion of unexpected traffic growth and can be used for comparison of topologies. We discuss some advantages and disadvantages of the approach from [Maxemchuk, N et al., May 2002] and suggest some modifications to this approach. In particular we discuss how to evaluate the influence of a subgraph to the lifetime measure and introduce the notion of the order of a path. This notion is useful if we consider a possible extension to the set of working paths in order to support the traffic for the time that is needed for installation of new facilities.**Description:**E1**Description:**2003000361

Dynamic reconfiguration of telecommunication networks

- Dzalilov, Zari, Ouveysi, Iradj, Rubinov, Alex

**Authors:**Dzalilov, Zari , Ouveysi, Iradj , Rubinov, Alex**Date:**2003**Type:**Text , Conference paper**Relation:**Paper presented at the Industrial Optimisation 2003 Conference, Perth : 30th October, 2002**Full Text:**false**Reviewed:****Description:**E1**Description:**2003000451

Abstract convexity of positive homogenous functions

- Rubinov, Alex, Dzalilov, Zari

**Authors:**Rubinov, Alex , Dzalilov, Zari**Date:**2002**Type:**Text , Journal article**Relation:**Journal of Statistics and Management Systems Vol. 5, no. 1 (2002), p. 1-19**Full Text:****Reviewed:****Description:**This paper is a survey of recent results to abstract convexity of positively homogeneous functions, that is, to a representation of such functions as the upper (lower) envelope of sets of fairly simple functions. In particular, we study sup-min and max-min representations of positively homogeneous of degree one functions through linear functions and various kinds of the so-called exhausters.**Description:**C1**Description:**2003003353

**Authors:**Rubinov, Alex , Dzalilov, Zari**Date:**2002**Type:**Text , Journal article**Relation:**Journal of Statistics and Management Systems Vol. 5, no. 1 (2002), p. 1-19**Full Text:****Reviewed:****Description:**This paper is a survey of recent results to abstract convexity of positively homogeneous functions, that is, to a representation of such functions as the upper (lower) envelope of sets of fairly simple functions. In particular, we study sup-min and max-min representations of positively homogeneous of degree one functions through linear functions and various kinds of the so-called exhausters.**Description:**C1**Description:**2003003353

Difference inclusions with delay of economic growth

- Dzalilov, Zari, Ivanov, Anatoli, Rubinov, Alex

**Authors:**Dzalilov, Zari , Ivanov, Anatoli , Rubinov, Alex**Date:**2001**Type:**Text , Journal article**Relation:**Dynamic Systems and Applications Vol. 10 , no. (2001), p. 283-293**Full Text:**false**Reviewed:****Description:**A difference inclusion wit.h delay is proposed as a modified model of maeroe<.'onomical growth. The classical assumpt.ion of t.he homogeneity of the nonlinear feedback involved in the model implies t.he existence of a ray of equilibria. Any dynamics in the model is shown to be convergent. t.o either an equilibrium on the ray or to the zero equilibrium.**Description:**C1**Description:**2003002561

Typical behaviour in scalar delay differential equations

- Ivanov, Anatoli, Dzalilov, Zari, Rubinov, Alex

**Authors:**Ivanov, Anatoli , Dzalilov, Zari , Rubinov, Alex**Date:**2001**Type:**Text , Journal article**Relation:**Studies of University of Zilina, Mathematical series Vol. 14 , no. 1 (2001), p. 1-10**Full Text:**false**Reviewed:****Description:**C1**Description:**2003002564

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