NONHOMOGENEOUS BIRTH PROCESSES AND l∞-SPHERICAL DENSITIES, WITH APPLICATIONS IN RELIABILITY THEORY

  • Authors:
  • Moshe Shaked;Fabio Spizzichino;Florentina Suter

  • Affiliations:
  • Department of Mathematics, University of Arizona, Tucson, AZ 85721, E-mail: shaked@math.arizona.edu;Department of Mathematics, University “La Sapienza”, 00185 Rome, Italy, E-mail: spizzichino@uniroma1.it;Department of Mathematics, University of Bucharest, 70109 Bucharest, Romania, E-mail: florent@math.math.unibuc.ro

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2002

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Abstract

We consider the problem of dynamic allocation of a single server with batch processing capability to a set of parallel queues. Jobs from different classes cannot be processed together in the same batch. The arrival processes are mutually independent ...