Reference Manual for Telecommunications Engineering

Freeman, Roger L.

doi:10.1002/0471208051

Cited by 23 publications

(11 citation statements)

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“…In the proposed algorithms the computational procedures contains the well-known Erlang's B-formula as well as expressions within that formula which has even been tabulated [20]. Thus, complexity of the proposed algorithms to calculate QoS metrics of investigated multiparametric CAC based on guard channels are almost congruous to that of Erlang's Bformula.…”

Section: <0> <1>mentioning

confidence: 99%

Numerical Approach to Performance Analysis of Multi-Parametric CAC in Multi-Service Wireless Networks

Melikov¹,

Fattakhova²

2011

Cellular Networks - Positioning, Performance Analysis, Reliability

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Section: <0> <1>mentioning

confidence: 99%

Numerical Approach to Performance Analysis of Multi-Parametric CAC in Multi-Service Wireless Networks

Melikov¹,

Fattakhova²

2011

Cellular Networks - Positioning, Performance Analysis, Reliability

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“…This is an exact equation for a parallel system [1,15]. In most availability analyses of communication networks, unavailability quantities or expressions are used based on simplifying assumptions, transforming an exact availability model with intractable complexities to a feasible unavailability model with an acceptable numerical accuracy [1].…”

Section: Availabilitymentioning

confidence: 99%

Connection availability analysis of span-restorable mesh networks

2007

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Dual-span failures are the key factor of the system unavailability in a mesh-restorable network with full restorability of single-span failures. Availability analysis based on reliability block diagrams is not suitable to describe failures of mesh-restorable networks with widely distributed and interdependent spare capacities. Therefore, a new concept of restoration-aware connection availability is proposed to facilitate the analysis. Specific models of spanoriented schemes are built and analyzed. By using the proposed computation method and presuming dual-span failures to be the only failure mode, we can exactly calculate the average connection unavailability with an arbitrary allocation rule for spare capacity and no knowledge of any restoration details, or the unavailability of a specific connection with known restoration details. Network performance with respect to connection unavailability, traffic loss, spare capacity consumption, and dual failure restorability is investigated in a case study for an optical span-restorable long-haul network.

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“…Formula (3) (Erlang-B formula), if programmed as shown will lead to overflow problems. A recursive computation is used in [5].…”

Section: Computational Aspectsmentioning

confidence: 99%

“…Nevertheless, both the numerator and the denominator above can become very large for large values of and , leading to overflow. A much better recursion is the following [6]: (5) with . We have used this formula (5) for values of as large as 1000 and have not encountered difficulties.…”

Section: Computational Aspectsmentioning

confidence: 99%

Loss formulas and their application to optimization for cellular networks

Harine¹,

Marie

Puigjaner

et al. 2001

IEEE Trans. Veh. Technol.

108

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In this paper, we develop a performance model of a cell in a wireless communication network where the effect of handoff arrival and the use of guard channels is inlcuded. Fast recursive formulas for the loss probabilities of new calls and handoff calls are developed. Monotonicity properties of the loss probabilities are proven. Algorithms to determine the optimal number of guard channels and the optimal number of channels are given. Finally, a fixed-point iteration scheme is developed in order to determine the handoff arrival rate into a cell. The uniqueness of the fixed point is shown.

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Reference Manual for Telecommunications Engineering

Cited by 23 publications

References 0 publications

Numerical Approach to Performance Analysis of Multi-Parametric CAC in Multi-Service Wireless Networks

Numerical Approach to Performance Analysis of Multi-Parametric CAC in Multi-Service Wireless Networks

Connection availability analysis of span-restorable mesh networks

Loss formulas and their application to optimization for cellular networks

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