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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 ideas for comparison of Bellman chains

Laurent Truffet (2003)

Kybernetika

In this paper we are exploiting some similarities between Markov and Bellman processes and we introduce the main concepts of the paper: comparison of performance measures, and monotonicity of Bellman chains. These concepts are used to establish the main result of this paper dealing with comparison of Bellman chains.

Some new existence, sensitivity and stability results for the nonlinear complementarity problem

Rubén López (2008)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we study the nonlinear complementarity problem on the nonnegative orthant. This is done by approximating its equivalent variational-inequality-formulation by a sequence of variational inequalities with nested compact domains. This approach yields simultaneously existence, sensitivity, and stability results. By introducing new classes of functions and a suitable metric for performing the approximation, we provide bounds for the asymptotic set of the solution set and coercive existence...

Some notes on the quasi-Newton methods

Masanori Ozawa, Hiroshi Yanai (1982)

Aplikace matematiky

A survey note whose aim is to establish the heuristics and natural relations in a class of Quasi-Newton methods in optimization problems. It is shown that a particular algorithm of the class is specified by characcterizing some parameters (scalars and matrices) in a general solution of a matrix equation.

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