Manikandan,R; Dr.Krishnamoorthy,A(Cochin University Of Science And Technology, October 24, 2013)
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Abstract:
In this thesis the queueing-inventory models considered are analyzed
as continuous time Markov chains in which we use the tools such as matrix
analytic methods. We obtain the steady-state distributions of various
queueing-inventory models in product form under the assumption that no
customer joins the system when the inventory level is zero. This is despite
the strong correlation between the number of customers joining the system
and the inventory level during lead time. The resulting quasi-birth-anddeath
(QBD) processes are solved explicitly by matrix geometric methods
Description:
Department of Mathematics
Cochin University of Science and Technology
Jaya, S; Dr. B Lakshmi(Cochin University of Science and Technology, August 3, 2015)
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Abstract:
In many situations probability models are more realistic than deterministic
models. Several phenomena occurring in physics are studied as random
phenomena changing with time and space. Stochastic processes originated
from the needs of physicists.Let X(t) be a random variable where t is a parameter assuming values
from the set T. Then the collection of random variables {X(t), t ∈ T} is
called a stochastic process. We denote the state of the process at time t
by X(t) and the collection of all possible values X(t) can assume, is called state space