Jacob,M J; Dr.Krishnamoorthy,A(Cochin University Of Science And Technology, 1987)
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Abstract:
In this thesis we attempt to make a probabilistic
analysis of some physically realizable, though complex,
storage and queueing models. It is essentially a mathematical
study of the stochastic processes underlying
these models. Our aim is to have an improved understanding
of the behaviour of such models, that may widen their
applicability. Different inventory systems with randon1
lead times, vacation to the server, bulk demands, varying
ordering levels, etc. are considered. Also we study some
finite and infinite capacity queueing systems with bulk
service and vacation to the server and obtain the transient
solution in certain cases. Each chapter in the thesis is
provided with self introduction and some important references
Description:
Department of Mathematics and Statistics
Cochin University of Science and
Technology
Jacob,K Daniel; Dr.Krishnamoorthy,A(Cochin University Of Science And Technology, 1985)
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Abstract:
In this thesis we study the effect of rest periods
in queueing systems without exhaustive service and inventory
systems with rest to the server. Most of the works in the
vacation models deal with exhaustive service. Recently
some results have appeared for the systems without exhaustive
service.
Description:
Department Of‘ Mathematics And Statistics,Cochin University Of Science And Technology
Lakshmy, B; Dr.Krishnamoorthy,A(Cochin University of Science And Technology, February , 1991)
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Abstract:
This thesis analyses certain problems in Inventories
and Queues. There are many situations in real-life where we
encounter models as described in this thesis. It analyses
in depth various models which can be applied to production,
storag¢, telephone traffic, road traffic, economics, business
administration, serving of customers, operations of particle
counters and others. Certain models described here is not a
complete representation of the true situation in all its
complexity, but a simplified version amenable to analysis.
While discussing the models, we show how a dependence structure can be suitably introduced in some problems of Inventories and Queues. Continuous review, single commodity inventory systems with Markov dependence structure introduced in the demand quantities, replenishment quantities and reordering levels are considered separately. Lead time is assumed to be zero in these models. An inventory model involving random lead
time is also considered (Chapter-4). Further finite capacity
single server queueing systems with single/bulk arrival,
single/bulk services are also discussed. In some models the
server is assumed to go on vacation (Chapters 7 and 8). In
chapters 5 and 6 a sort of dependence is introduced in the
service pattern in some queuing models.
Description:
Department of mathematics & statistics, Cochin University of Science And Technology
Madhusoodanan,T P; Dr.Krishnamoorthy,A(Cochin University of Science And Technology, 1988)
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Abstract:
The objective of this thesis is to study the time dependent behaviour of some complex queueing and inventory models. It contains a detailed analysis of the basic stochastic processes underlying these models. In the theory of queues, analysis of time dependent behaviour is an area.very little developed compared to steady state theory. Tine dependence seems certainly worth studying from an application point of view but unfortunately, the analytic difficulties are considerable.
Glosod form solutions are complicated even for such simple models as M/M /1. Outside M/>M/1, time dependent solutions have been found only in special cases and involve most often double transforms which provide very little insight into the behaviour of the queueing systems themselves. In inventory theory also There is not much results available giving the time
dependent solution of the system size probabilities. Our emphasis is on explicit results free from all types of transforms and the method used may be of special interest to a wide variety of problems having regenerative structure.
Description:
Department of mathematics, Cochin University of Science And Technology