Bibliography on G-networks, negative customers and applications

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G-Networks with Multiple Class Negative and Positive Customers

A new class of queueing networks with \negative and positive" customers was introduced and shown to have a non-standard product form 4]; since then this model has undergone several generalizations 5, 6, 7, 8]. Positive customers are identical to the usual customers of a queueing network, while a negative customer which arrives to a queue simply destroys a positive customer. We call these genera...

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A MAP/G/1 Queue with Negative Customers

In this paper, we consider a MAP/G/1 queue with MAP arrivals of negative customers, where there are two types of service times and two classes of removal rules: the RCA and RCH, as introduced in Section 2. We provide an approach for analyzing the system. This approach is based on the classical supplementary variable method, combined with the matrix-analytic method and the censoring technique. B...

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An MAP/G/1 Queue with Negative Customers

In this paper, we consider an MAP/G/1 queue with MAP arrivals of negative customers, where there are two types of service times and two classes of removal rules: the RCA and RCH, as introduced in Section 2. We provide an approach for analyzing the system. This approach is based on the classical supplementary variable method, combined with the matrix-analytic method and the censoring technique. ...

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Local balance in queueing networks with positive and negative customers

This paper investigates to what extent a recently developed new product form result for queueing networks with positive and negative customers fits into the class of product form queueing networks that satisfy a notion of partial or local balance. As such this paper investigates whether this new product form is still a consequence of an appropriate notion of local balance. To this end a new and...

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RAPPORT A note on negative customers , GI / G / 1 workload , and risk processes

Recently the workload distribution in the M/G/1 queue with work removal has been analysed , and has been shown to exhibit a generalized Pollaczek-Khintchine form. The latter result is explained in this note by transforming the model into a standard GI/G/1 queue. Some extensions are also discussed, as well as a connection with a `dual' risk process.

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ژورنال

عنوان ژورنال: Mathematical and Computer Modelling

سال: 2011

ISSN: 0895-7177

DOI: 10.1016/j.mcm.2010.08.006