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4395 results in Advances in Applied Probability

Page 191 of 220

  • The geometry of random drift III. Recombination and diffusion

  • Peter L. Antonelli, Kenneth Morgan, G. Mark Lathrop
  • Journal:
    Advances in Applied Probability / Volume 9 / Issue 2 / June 1977
    Published online by Cambridge University Press:
    01 July 2016, pp. 260-267
    Print publication:
    June 1977

  • A new diffusion model for random genetic drift of a two-locus di-allelic system is proposed. The Christoffel velocity field and the intrinsic geometry of the diffusion is computed for the equilibrium surface. It is seen to be radically non-spherical and to depend explicitly on the recombination fraction. The model has not been shown to be a limit of discrete Markov chains. For large values of the recombination, the present model is radically different from that of Ohta and Kimura, which is an approximation to the discrete process of random mating in the limit as the value of the recombination fraction goes to zero.

  • A general markov decision method II: Applications

  • G. De Leve, A. Federgruen, H. C. Tijms
  • Journal:
    Advances in Applied Probability / Volume 9 / Issue 2 / June 1977
    Published online by Cambridge University Press:
    01 July 2016, pp. 316-335
    Print publication:
    June 1977

  • In a preceding paper [2] we have introduced a new approach for solving a wide class of Markov decision problems in which the state-space may be general and the system may be continuously controlled. The criterion is the average cost. This paper discusses two applications of this approach. The first application concerns a house-selling problem in which a constructor builds houses which may be sold at any stage of the construction and potential customers make offers depending on the stage of the construction. The second application considers an M/M/c queueing problem in which the number of operating servers can be controlled by turning servers on or off.

  • Some explicit formulas for the steady-state behavior of the queue with semi-Markovian service times

  • Marcel F. Neuts
  • Journal:
    Advances in Applied Probability / Volume 9 / Issue 1 / March 1977
    Published online by Cambridge University Press:
    01 July 2016, pp. 141-157
    Print publication:
    March 1977

  • This paper discusses a number of explicit formulas for the steady-state features of the queue with Poisson arrivals in groups of random sizes and semi-Markovian service times. Computationally useful formulas for the expected duration of the various busy periods, for the mean numbers of customers served during them, as well as for the lower order moments of the queue lengths, both in discrete and in continuous time, and of the virtual waiting time are obtained. The formulas are recursive matrix expressions, which generalize the analogous but much simpler results for the classical M/G/1 model.

Page 191 of 220