Busy period, virtual waiting time and number of customers in G δ |M ϰ |1|B system
نویسندگان
چکیده
منابع مشابه
Calculating the M/G/1 busy-period density and LIFO waiting-time distribution by direct numerical transform inversion
It is well known that the M/G/1 busy-period density can be characterized by the Kendall functional equation for its Laplace transform. The Kendall functional equation can be solved iteratively to obtain transform values to use in numerical inversion algorithms. However, we show that the busy-period density can also be numerically inverted directly, without iterating a functional equation, explo...
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We consider two models of M=G=1 and G=M=1 type queueing systems with restricted accessibility. Let (V (t))t¿0 be the virtual waiting time process, let Sn be the time required for a full service of the nth customer and let n be his arrival time. In both models there is a capacity bound v∗ ∈ (0;∞): In Model I the amount of service given to the nth customer is equal to min[Sn; v∗ − V ( n−)], i.e. ...
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In this paper, we propose an algorithm to calculate the higher moments of the busy period length of a discretetime M/G/1 type queue with finite buffer. The queueing model has a level-dependent transition probability matrix. Our algorithm is given as a set of recursive formulas which are derived from the relationship among the generating function matrices of the fundamental period. As an example...
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We consider an M/G/1 queueing system where the customers may leave the queue if their services do not commence before an exponentially distributed random time. The (conditional) offered waiting time distribution is approximated by a gamma distribution via matching the first and second moments of the actual waiting time. Simulation study is conducted to assess the accuracy of the approximation a...
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ژورنال
عنوان ژورنال: Queueing Systems
سال: 2010
ISSN: 0257-0130,1572-9443
DOI: 10.1007/s11134-010-9170-5