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Some aspects of balking and reneging in finite buffer queues

Amit Choudhury, Pallabi Medhi (2011)

RAIRO - Operations Research

In this paper, a single server finite buffer Markovian queuing system is analyzed with the additional restriction that customers may balk as well as renege. Reneging considered in literature is usually of position independent type where the reneging rate is constant irrespective of the position of the customer in the system. However there are many real world situations where this assumption does not hold. This paper is an attempt to model balking with position dependent reneging. Explicit closed...

Some aspects of balking and reneging in finite buffer queues

Amit Choudhury, Pallabi Medhi (2011)

RAIRO - Operations Research

In this paper, a single server finite buffer Markovian queuing system is analyzed with the additional restriction that customers may balk as well as renege. Reneging considered in literature is usually of position independent type where the reneging rate is constant irrespective of the position of the customer in the system. However there are many real world situations where this assumption does not hold. This paper is an attempt to model balking with position dependent reneging. Explicit closed...

Some examples of non-monotonicities in a two-unit redundant system

Antonín Lešanovský (1984)

Aplikace matematiky

A cold-standby redundant sytem with two identical units and one repair facility is considered. Units can be in three states: good ( I ) , degraded ( I I ) , and failed ( I I I ) . It is supposed that only the following state-transitions of a unit are possible: I I I , I I I I I , I I I , I I I I . The paper deals with the comparison of some initial situations of the system and with a stochastical improvement of units (stochastical increase of time of work in state I and/or stochastical decrease of times of repairs of the types I I I and/or I I I I ) and...

Some stochastic comparison results for series and parallel systems with heterogeneous Pareto type components

Lakshmi Kanta Patra, Suchandan Kayal, Phalguni Nanda (2018)

Applications of Mathematics

We focus on stochastic comparisons of lifetimes of series and parallel systems consisting of independent and heterogeneous new Pareto type components. Sufficient conditions involving majorization type partial orders are provided to obtain stochastic comparisons in terms of various magnitude and dispersive orderings which include usual stochastic order, hazard rate order, dispersive order and right spread order. The usual stochastic order of lifetimes of series systems with possibly different scale...

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