Pramod,P K; Dr.Krishnamoorthy,A(Cochin University of Science & Technology, January , 2010)
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Abstract:
This thesis entitled' On
Queues with Interruptions and Repeat or Resumption of Service' introduces several
new concepts into queues with service interruption. It is divided into Seven chapters
including an introductory chapter. The following are keywords that we use
in this thesis: Phase type (PH) distribution, Markovian Arrival Process (MAP),
Geometric Distribution, Service Interruption, First in First out (FIFO), threshold
random variable and Super threshold random variable. In the second chapter we
introduce a new concept called the 'threshold random variable' which competes
with interruption time to decide whether to repeat or resume the interrupted service
after removal of interruptions. This notion generalizes the work reported so far
in queues with service interruptions. In chapter 3 we introduce the concept of what
is called 'Super threshold clock' (a random variable) which keeps track of the total
interruption time of a customer during his service except when it is realized before
completion of interruption in some cases to be discussed in this thesis and in other
cases it exactly measures the duration of all interruptions put together. The Super
threshold clock is OIl whenever the service is interrupted and is deactivated when service is rendered. Throughout this thesis the first in first out service discipline is
followed except for priority queues.
Description:
Department of Mathematics,
Cochin University of Science and Technology