Generalized Loss Models and Queueing-loss Networks

Generalized Loss Models and Queueing-Loss Networks

The classical Erlang and Engset loss models have been used extensively in the traffic engineering of traditional telephone exchanges. More recently, these models have been generalized to the so-called loss networks, which provide models for resource sharing in multiservice telecommunication networks. In this paper, we introduce a new generalized class of models, queueing-loss networks, which ca...

Nonstationary analysis of the loss queue and of queueing networks of loss queues

We present an iterative scheme based on the fixed point approximation method, for the numerical calculation of the time-dependent mean number of customers and blocking probability functions in a nonstationary queueing network with multi-rate loss queues. We first show how the proposed method can be used to analyze a single-class, multiclass, and multi-rate nonstationary loss queue. Subsequently...

Bounds for the Loss Probabilities of Large Loss Queueing Systems

The aim of this paper is to establish the bounds for the least root of the functional equation x = b G(μ − μx), where b G(s) is the Laplace-Stieltjes transform of an unknown probability distribution function G(x) of a positive random variable having the first two moments g1 and g2, and μ is a positive parameter satisfying the condition μg1 > 1. The additional information characterizing G(x) is ...

Assembly line balancing to minimize balancing loss and system loss

Assembly Line production is one of the widely used basic principles in production system. The problem of Assembly Line Balancing deals with the distribution of activities among the workstations so that there will be maximum utilization of human resources and facilities without disturbing the work sequence. Research works reported in the literature mainly deals with minimization of idle time i.e...

Estimating bank loans loss given default by generalized additive models