Babu,S; Dr.Krishnamoorthy,A(Cochin University of Science and Technology, May , 2007)
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Abstract:
In this thesis we have studied a few models involving self-generation of priorities.
Priority queues have been extensively discussed in literature. However, these are situations involving priority assigned to
(or possessed by) customers at the time of their arrival. Nevertheless, customers
generating into priority is a common phenomena. Such situations especially arise
at a physicians clinic, aircrafts hovering over airport running out of fuel but waiting
for clearance to land and in several communication systems. Quantification of these
are very little seen in literature except for those cited in some of the work indicated
in the introduction. Our attempt is to quantify a few of such problems. In doing
so, we have also generalized the classical priority queues by introducing priority
generation ( going to higher priorities and during waiting). Systematically we have
proceeded from single server queue to multi server queue. We also introduced customers with repeated attempts (retrial) generating
priorities. All models that were analyzed in this thesis involve nonpreemptive
service. Since the models are not analytically tractable, a large number
of numerical illustrations were produced in each chapter to get a feel about the
working of the systems.
Description:
Department of Mathematics,
Cochin University of Science and Technology