Erlang distribution


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Erlang distribution

[′er‚läŋ ‚dis·trə‚byü·shən]
(statistics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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On the other hand, the multiplicity and transverse momentum distributions observed in different data samples can be uniformly fitted by multicomponent Erlang distribution [8,51,52], which also show the universality in particle production.
Galliher, Morse, and Simond (1959) further built on this early work for order sizes Q [greater than or equal to] 1 using an E/M/n inventory queueing system where arrivals are distributed according to an Erlang distribution with Poisson demands.
To the best of our knowledge, this is the first paper applying HSMM with general Erlang distribution of sojourn time in two hidden states and optimal Bayesian control scheme to find the cost-effective strategy for early fault detection of the helicopter gearbox.
Therefore, the overall time distribution must conform to the convolution of several exponents, which if the exponents are identical, is described with the Erlang distribution, a particular case of the gamma-distribution.
Ahmed, "On parameter estimation of erlang distribution using bayesian method under different loss functions," in Proceedings of International Conference on Advances in Computers, Communication, and Electronic Engineering, pp.
In order to implement the models on software package SPNP [66], we use [c.sub.VMM]-stage Erlang distribution to approximate the deterministic transition [T.sub.VMMdockinterval].
Erlang distribution has been considered by Adan et al.
The Erlang distribution is suitable for describing headway distribution according to different flow conditions because it can describe different degree of flow conditions from unblocked to congestion by adjusting the order L, as shown in formula (8).
Azaron and Tavakkoli-Moghaddam [3] researched the time-cost tradeoff problem of activity period when it exhibits exponential and generalized Erlang distribution. The study constructed a Markov chain to calculate probability distribution of time of completion and got a multiobjective tradeoff model.
* The batch production time at manufacturing level is represented by the Erlang distribution Erl (k = 3) with multiple means.
The distribution allows to model one or more inter-related Poisson processes occurring in sequence and is generalisation of Erlang distribution (which requires all phases in the sequence to be identical).
Workforce management was done on graph paper purchased from an office supply store using complex algorithms that were crunched by hand by the only person in the office capable of doing math more complex than balancing his checkbook: the dreaded "Erlang distribution," or more specifically, Erlang-C, which looked like this: [P.sub.c] = [[[E.sup.N]/M][N/[N - E]]]/[[I-N-I.summation over (I-0)][[E.sub.I]/X!] + [[E.sup.N]/M][N/[N - E]]]