This paper presents axioms for systems of conditional preferences and provides representation results for these systems. It reports on a new way of representing a system of conditional preferences, by means of a system of conditional lexicographic probabilities (SCLP) (cf. Asheim and Perea, Games and Economic Behavior, forthcoming). An SCLP ensures well-defined conditional beliefs representing ...

This paper deals the transient analysis of a queueing system with working vacation in which server may encounter breakdowns. Customers enter batches according to Poisson process and receive service FCFS mode. Whenever finds nobody, starts during renders at slower rate than normal one. Further, we considered two types customer’s impatience balking reneging. We solved differential equations find ...

In this paper, we present an exact transient (discrete-time) queuing analysis of a statistical multiplexer with a finite number of input links and whose arrival process is correlated and consists of a train of a fixed number of fixed-length packets. The functional equation describing this queuing model is manipulated and transformed into a mathematical tractable form. This allows us to derive t...

A key aspect of framing cloud datacenters Service Level Agreements is the derivation of downtime probability distribution function of a set of provisioned servers over a service window. This is further complicated by the hierarchy of power, network and server domains within any datacenter. This hierarchy adds significant complexity in the estimation of transient distributions. The process of fa...

The transient analysis of a queuing system with fixed-size batch Poisson arrivals and a single server with exponential service times is presented. The focus of the paper is on the use of the functions that arise in the analysis of the transient behaviour of the queuing system. These functions are shown to be a generalization of the modified Bessel functions of the first kind, with the batch siz...