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Abstract:
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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. |