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Now showing items 97 - 112 of 30770

  • A G/M/1 retrial queue with constant retrial rate

    Kim, Chesoong   Klimenok, Valentina   Dudin, Alexander  

    In this paper, we are concerned with the analytical treatment of an GI/M/1 retrial queue with constant retrial rate. Constant retrial rate is typical for some real world systems where the intensity of individual retrials is inversely proportional to the number of customers in the orbit or only one customer from the orbit is allowed to make the retrials. In our model, a customer who finds the server busy joins the queue in the orbit in accordance with the FCFS (first-come-first-out) discipline and only the oldest customer in the queue is allowed to make the repeated attempts to reach the server. A distinguishing feature of the considered system is an arbitrary distribution of inter-arrival times, while the overwhelming majority of the papers is devoted to the retrial systems with the stationary Poisson arrival process. We carry out an extensive analytical analysis of the queue in steady state using the well-known matrix analytic technique. The ergodicity condition and simple expressions for the stationary distributions of the system states at pre-arrival, post-arrival and arbitrary times are derived. The important and difficult problem of finding the stationary distribution of the sojourn time is solved in terms of the Laplace-Stieltjes transform. Little's formula is proved. Numerical illustrations are presented.
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  • M. K. VENKATESHA MURTHY AND G. STAMPACCHIA: A BEAUTIFUL COLLABORATION

    Maugeri, Antonino  

    The outstanding scientific work of M. K. Venkatesha Murthy and the strong collaboration with G. Stampacchia are illustrated.
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  • The M/G/1 queue with disasters and working breakdowns

    Bo Keun Kim   Doo Ho Lee  

    Abstract In this paper, we analyze the M/G/1 queueing system with disasters and working breakdown services. The system consists of a main server and a substitute server, and disasters only occur while the main server is in operation. The occurrence of disasters forces all customers to leave the system and causes the main server to fail. At a failure instant, the main server is sent to the repair shop and the repair period immediately begins. During the repair period, the system is equipped with the substitute server which provides the working breakdown services to arriving customers. After introducing the concept of working breakdown services, we derive the system size distribution and the sojourn time distribution. We also obtain the results of the cycle analysis. In addition, numerical works are given to examine the relation between the sojourn time and the some system parameters.
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  • M. K. Venkatesha Murthy and G. Stampacchia: A Beautiful Collaboration

    Maugeri   Antonino  

    The outstanding scientific work of M. K. Venkatesha Murthy and the strong collaboration with G. Stampacchia are illustrated.
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  • POLYNOMIAL IDENTITIES OF M(2,1)(G)

    Vishne, Uzi  

    We describe the multilinear identities of the superalgebra M(2,1)(G) of matrices over the Grassmann algebra, in the minimal possible degree, which is 9.
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  • The Monk by M. G. Lewis: Revolution, Religion and the Female Body

    Łowczanin, Agnieszka  

    This paper reads The Monk by M. G. Lewis in the context of the literary and visual responses to the French Revolution, suggesting that its digestion of the horrors across the Channel is exhibited especially in its depictions of women. Lewis plays with public and domestic representations of femininity, steeped in social expectation and a rich cultural and religious imaginary. The novel's ambivalence in the representation of femininity draws on the one hand on Catholic symbolism, especially its depictions of the Madonna and the virgin saints, and on the other, on the way the revolutionaries used the body of the queen, Marie Antoinette, to portray the corruption of the royal family. The Monk fictionalizes the ways in which the female body was exposed, both by the Church and by the Revolution, and appropriated to become a highly politicized entity, a tool in ideological argumentation.
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  • Inappropriation et \"diversalité\" chez J. M. G. Le Clézio

    Ridon   Jean-Xavier  

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  • The Fiction of J. M. G. Le Clezio: A Postcolonial Reading

    Amar   R.  

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  • Irreducible Modular Representations of the Reflection Group G(m, 1, n)

    Araujo, Jose O.   Bratten, Tim   Maiaru, Cesar L.  

    In an article published in 1980, Farahat and Peel realized the irreducible modular representations of the symmetric group. One year later, Al-Aamily, Morris, and Peel constructed the irreducible modular representations for a Weyl group of type B-n. In both cases, combinatorial methods were used. Almost twenty years later, using a geometric construction based on the ideas of Macdonald, first Aguado and Araujo and then Araujo, Bigeon, and Gamondi also realized the irreduciblemodular representations for the Weyl groups of types A(n). and B-n. In this paper, we extend the geometric construction based on the ideas of Macdonald to realize the irreducible modular representations of the complex reflection group of type G(m, 1, n).
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  • M茅soth茅liomes malins et mutations constitutionnelles du g猫ne BAP1

    Neviere, Z.   Berthet, P.   Polycarpe, F.   Dubos-Arvis, C.   D么, P.   Gervais, R.  

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  • The distance to the Galactic center determined by G, K, and M stars

    Branham   Richard L.  

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  • Comparison results for M/G/1 queues with waiting and sojourn time deadlines

    Yoshiaki, Inoue  

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  • Waiting time probabilities in the M/G/1+M queue

    Lee, Chihoon   Wang, Jianqiang C.  

    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. A simulation study is conducted to assess the accuracy of the approximation and it reveals that the approximation performs satisfactorily under general conditions on service time distributions.
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  • SUDDEN UNEXPECTED DEATH IN ADULTS WITH M. 3243A>G MUTATION

    Ng, Y. S.; Lax, N.; Schaefer, A.; Radunovic, A.; Ralph, M.; Alhakim, A.; Taylor, R.; Turnbull, D.; McFarland, R.; Gorman, G.  

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  • The age of the arrival process in the G/M/1 and M/G/1 queues

    This paper shows that in the G/M/1 queueing model, conditioning on a busy server, the age of the inter-arrival time and the number of customers in the queue are independent. The same is the case when the age is replaced by the residual inter-arrival time or by its total value. Explicit expressions for the conditional density functions, as well as some stochastic orders, in all three cases are given. Moreover, we show that this independence property, which we prove by elementary arguments, also leads to an alternative proof for the fact that given a busy server, the number of customers in the queue follows a geometric distribution. We conclude with a derivation for the Laplace Stieltjes Transform (LST) of the age of the inter-arrival time in the M/G/1 queue.
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  • An Interview with M G Vassanji

    Bower, Rachel; Osborne, Désha Amelia; Ross, Oliver  

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