Geodesic
Approximation of the Steady State System State Distribution of the M/G/1 Retrial Queue With Impatient Customers
Yugoslav journal of operations research, Tome 22 (2012) no. 2, p. 285 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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For M/G/1 retrial queues with impatient customers, we review the results, concerning the steady state distribution of the system state, presented in the literature. Since the existing formulas are cumbersome (so their utilization in practice becomes delicate) or the obtaining of these formulas is impossible, we apply the information theoretic techniques for estimating the above mentioned distribution. More concretely, we use the principle of maximum entropy which provides an adequate methodology for computing a unique estimate for an unknown probability distribution based on information expressed in terms of some given mean value constraints.
Classification : 60K25, 62G05, 54C70
Keywords: Retrial queue, steady state distribution, estimation, principle of maximum entropy, impatient customer. 
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     author = {Nadjet Stihi and Natalia Djellab},
     title = {Approximation of the {Steady} {State} {System} {State} {Distribution} of the {M/G/1} {Retrial} {Queue} {With} {Impatient} {Customers}},
     journal = {Yugoslav journal of operations research},
     pages = {285 },
     year = {2012},
     volume = {22},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2012_22_2_a7/}
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Nadjet Stihi; Natalia Djellab. Approximation of the Steady State System State Distribution of the M/G/1 Retrial Queue With Impatient Customers. Yugoslav journal of operations research, Tome 22 (2012) no. 2, p. 285 . http://geodesic.mathdoc.fr/item/YJOR_2012_22_2_a7/