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Inventory models of future supply uncertainty with single and multiple suppliers
TLDR
Concepts from renewal reward processes are used to develop average cost objective function models for single, two, and multiple suppliers and show that as the number of suppliers becomes large, the model reduces to the classical EOQ model.
Rejection rules in theM/G/1 queue
TLDR
For exponential service times, it is shown by a coupling argument that the busy period Laplace transform in the case of a deterministic barricade can be identified with a first passage time in an associated birth-death process.
ON/OFF STORAGE SYSTEMS WITH STATE-DEPENDENT INPUT, OUTPUT, AND SWITCHING RATES
We consider a storage model that can be on or off. When on, the content increases at some state-dependent rate and the system can switch to the off state at a state-dependent rate as well. When off,
An EOQ model with state-dependent demand rate
On cycle maxima, first passage problems and extreme value theory for queues
The distribution of the maximum of the virtual waiting time during a cycle C is studied for a variety of queueing models. For the M/M/1 queue, the idea is a generalization of the ladder height
The first rendezvous time of Brownian motion and compound Poisson-type processes
The 'rendezvous time' of two stochastic processes is the first time at which they cross or hit each other. We consider such times for a Brownian motion with drift, starting at some positive level,
A discrete time markovian inventory model for perishable commodities
In this paper, we analyze a Markovian inventory model for perishable commodities, in which the arrivals of items into the system as well as the demands for these items are assumed to be discrete
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