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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...

Analysis of an MAP/PH/1 queue with flexible group service

Arianna BrugnoCiro D'ApiceAlexander DudinRosanna Manzo — 2017

International Journal of Applied Mathematics and Computer Science

A novel customer batch service discipline for a single server queue is introduced and analyzed. Service to customers is offered in batches of a certain size. If the number of customers in the system at the service completion moment is less than this size, the server does not start the next service until the number of customers in the system reaches this size or a random limitation of the idle time of the server expires, whichever occurs first. Customers arrive according to a Markovian arrival process....

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