Externalities, tangible externalities, and queue disciplines
Article Abstract:
An alternative approach to computing the expected externalities and tangible externalities imposed by customers on others while being served in a queuing system was proposed. The model assumes that for each arrival of a customer there is a corresponding tangible externality, defined as the total queuing time imposed on others while the said customer is in service. Tangible externalities, therefore, can be used as an efficient pricing mechanism for payment to be made by a particular customer. Computational results showed that the total waiting time of all customers in the original queuing system is greater than the total waiting time in the second system, and this difference is exactly the length of time until the coupling. It was also found that the externalities imposed by a customer is equal to the extra time except the time when such customer is in the queuing system.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1998
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A note on evaluating the overflow probability using the infinite queue
Article Abstract:
The approximation probability introduced by Sakasegawa, Miyazawa and Yamazaki in their 1993 paper that appeared in Management Science (vol. 39, p. 1238) is evaluated. The analysis assesses the accuracy of this probability as a measure for traffic coming from bursty sources. Speedy and simple evaluations of overflow or cell-loss probabilities are especially useful in developing effective plans for controlling the flow of traffic in ATM communication networks, also known as 'information superhighways.' Numerical results indicate that the overflow approximation proposed by Sakagesawa et al. may have limited usefulness. Simulation results for three simple examples of homogeneous sources are discussed.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1995
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