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The Timed (Coloured) Petri Net Formalism: position paper
"... This paper presents the point of view of the groups of the universities of Torino and Zaragoza on the timed Petri net formalism. Coloured and non coloured models are covered at the same time, the latter making sense in case of systems without symmetries. We argue that Petri net formalisms allow m ..."
Integral Expressions for the Numerical Evaluation of Product Form Expressions over Irregular Multidimensional Integer State Spaces
- Proc of SPECTS'99
, 1999
"... We consider stochastic systems defined over irregular, multidimensional, integer spaces that have a product form steady state distribution. Examples of such systems include closed and BCMP type of queuing networks, polymerization and genetic models. In these models the system state is a vector of in ..."
Abstract
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Cited by 1 (1 self)
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We consider stochastic systems defined over irregular, multidimensional, integer spaces that have a product form steady state distribution. Examples of such systems include closed and BCMP type of queuing networks, polymerization and genetic models. In these models the system state is a vector
Asymptotics and scalings for large product-form networks via the Central Limit Theorem
, 1996
"... The asymptotic behaviour of a closed BCMP network, with n queues and m n clients, is analyzed when n and m n become simultaneously large. Our method relies on Berry-Esseen type approximations coming in the Central Limit Theorem. We construct critical sequences m n , which are necessary and suffic ..."
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The asymptotic behaviour of a closed BCMP network, with n queues and m n clients, is analyzed when n and m n become simultaneously large. Our method relies on Berry-Esseen type approximations coming in the Central Limit Theorem. We construct critical sequences m n , which are necessary
Asymptotics and Scalings for Large Product-Form Networks via the Central Limit Theorem
, 1996
"... Abstract. The asymptotic behaviour of a closed BCMP network, with n queues andmn clients, is analyzed when n andmn become simultaneously large. Our method relies on Berry –Esseen type approximations coming in the Central Limit Theorem. We construct critical sequences m0n, which are necessary and suf ..."
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Abstract. The asymptotic behaviour of a closed BCMP network, with n queues andmn clients, is analyzed when n andmn become simultaneously large. Our method relies on Berry –Esseen type approximations coming in the Central Limit Theorem. We construct critical sequences m0n, which are necessary
Lasgouttes ”Asymptotics and scalings for large product-form networks via the Central Limit Theorem
, 1996
"... The asymptotic behaviour of a closed BCMP network, with n queues and mn clients, is analyzed when n and mn become simul-taneously large. Our method relies on Berry-Esseen type approxima-tions coming in the Central Limit Theorem. We construct critical se-quences m0n, which are necessary and sufficien ..."
Abstract
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Cited by 7 (0 self)
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The asymptotic behaviour of a closed BCMP network, with n queues and mn clients, is analyzed when n and mn become simul-taneously large. Our method relies on Berry-Esseen type approxima-tions coming in the Central Limit Theorem. We construct critical se-quences m0n, which are necessary
Asymptotics and Scalings for Large Closed Product-form Networks via the Central Limit Theorem
, 1996
"... : The asymptotic behaviour of a closed BCMP network, with n queues and m n clients, is analyzed when n and m n become simultaneously large. Our method relies on Berry-Esseen type approximations coming in the Central Limit Theorem. We construct critical sequences m 0 n , which are necessary and su ..."
Abstract
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Cited by 3 (1 self)
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: The asymptotic behaviour of a closed BCMP network, with n queues and m n clients, is analyzed when n and m n become simultaneously large. Our method relies on Berry-Esseen type approximations coming in the Central Limit Theorem. We construct critical sequences m 0 n , which are necessary
Queueing systems and networks. Models and applications
"... Abstract. This article describes queueing systems and queueing networks which are successfully used for performance analysis of different systems such as computer, communications, transportation networks and manufacturing. It incorporates classical Markovian systems with exponential service times an ..."
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Cited by 1 (1 self)
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and a Poisson arrival process, and queueing systems with individual service. Oscillating queueing systems and queueing systems with Cox and Weibull service time distribution as examples of non-Markovian systems are studied. Jackson’s, Kelly’s and BCMP networks are also briefly characterized. The model
Mobility modeling, spatial traffic distribution, and probability of connectivity for sparse and dense vehicular ad hoc networks
- IEEE Trans. Veh. Technol
"... Abstract—The mobility pattern of users is one of the distinct features of vehicular ad hoc networks (VANETs) compared with other types of mobile ad hoc networks (MANETs). This is due to the higher speed and the roadmap-restricted movement of vehicles. In this paper, we propose a new analytical mobil ..."
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Cited by 22 (1 self)
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Abstract—The mobility pattern of users is one of the distinct features of vehicular ad hoc networks (VANETs) compared with other types of mobile ad hoc networks (MANETs). This is due to the higher speed and the roadmap-restricted movement of vehicles. In this paper, we propose a new analytical
