An extended lifetime measure for telecommunication network
- 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.
Difference inclusions with delay of economic growth
- 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
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- 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
A lifetime measure for telecommunication network : Theoretical aspects
- 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
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- 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
- 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
Typical behaviour in scalar delay differential equations
- 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
Abstract convexity of positive homogenous functions
- 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
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- 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