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Product form solution for g-networks with dependent service

Pavel BocharovCiro D'ApiceEvgeny GavrilovAlexandre Pechinkin — 2004

RAIRO - Operations Research - Recherche Opérationnelle

We consider a G-network with Poisson flow of positive customers. Each positive customer entering the network is characterized by a set of stochastic parameters: customer route, the length of customer route, customer volume and his service length at each route stage as well. The following node types are considered: (0) an exponential node with c n servers, infinite buffer and FIFO discipline; (1) an infinite-server node; (2) a single-server node with infinite buffer and LIFO PR discipline; (3) a single-server...

Product form solution for g-networks with dependent service

Pavel BocharovCiro D'ApiceEvgeny GavrilovAlexandre Pechinkin — 2010

RAIRO - Operations Research

We consider a G-network with Poisson flow of positive customers. Each positive customer entering the network is characterized by a set of stochastic parameters: customer route, the length of customer route, customer volume and his service length at each route stage as well. The following node types are considered: Negative customers arriving at each node also form a Poisson flow. A negative customer entering a node with customers in service, with probability chooses one of served positive customer...

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