Two-link approximation schemes for loss networks with linear structure and trunk reservation

Loss networks have long been used to model various types of telecommunication network, including circuit-switched networks. Such networks often use admission controls, such as trunk reservation, to optimize revenue or stabilize the behaviour of the network. Unfortunately, an exact analysis of such networks is not usually possible, and reduced-load approximations such as the Erlang Fixed Point (EFP) approximation have been widely used. The performance of these approximations is typically very good for networks without controls, under several regimes. There is evidence, however, that in networks with controls, these approximations will in general perform less well. We propose an extension to the EFP approximation that gives marked improvement for a simple ring-shaped network with trunk reservation. It is based on the idea of considering pairs of links together, thus making greater allowance for dependencies between neighbouring links than does the EFP approximation, which only considers links in isolation.

Product form approximations for highly linear loss networks with trunk reservation

Admission controls, such as trunk reservation, are often used in loss networks to optimise their performance. Since the numerical evaluation of performance measures is complex, much attention has been given to finding approximation methods. The Erlang Fixed-Point (EFP) approximation, which is based on an independent blocking assumption, has been used for networks both with and without controls. Several more elaborate approximation methods which account for dependencies in blocking behaviour have been developed for the uncontrolled setting. This paper is an exploratory investigation of extensions and synthesis of these methods to systems with controls, in particular, trunk reservation. In order to isolate the dependency factor, we restrict our attention to a highly linear network. We will compare the performance of the resulting approximations against the benchmark of the EFP approximation extended to the trunk reservation setting. By doing this, we seek to gain insight into the critical factors in constructing an effective approximation. (C) 2003 Elsevier Ltd. All rights reserved.

Review of the Department of Natural Resources Parks Reservation System and the Electronic Licensing System for Iowa for the period July 1, 2006 through June 30, 2011

Review of the Department of Natural Resources Parks Reservation System and the Electronic Licensing System for Iowa for the period July 1, 2006 through June 30, 2011

Annual report of the Commissioners of the State Reservation at Niagara, 1884.

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Annual report of the Commissioners of the State Reservation at Niagara, 1885.

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Annual report of the Commissioners of the State Reservation at Niagara, 1886.

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Annual report of the Commissioners of the State Reservation at Niagara, 1888-1889

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Annual report of the Commissioners of the State Reservation at Niagara, 1889-1890.

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Annual report of the Commissioners of the State Reservation at Niagara, 1890-1891.

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Annual report of the Commissioners of the State Reservation at Niagara, 1892.

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Annual report of the Commissioners of the State Reservation at Niagara, 1892-1893.

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Annual report of the Commissioners of the State Reservation at Niagara, 1897.

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