The problem of how to rationally aggregate probability measures occurs in particular (i) when a group of agents, each holding probabilistic beliefs, needs to rationalise a collective decision on the basis of a single ‘aggregate belief system’ and (ii) when an individual whose belief system is compatible with several (possibly infinitely many) probability measures wishes to evaluate her options ...

a single server queue with bernoulli vacation has been considered. in addition the admission to queue is based on a bernoulli process and the server gives two type of services. for this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. some performance measures are calculated. ...

In this paper it is proved that if a minimal system has the property its sequence entropy uniformly bounded for all sequences, then only finitely many ergodic measures and an almost finite to one extension of maximal equicontinuous factor. This result obtained as application general criterion which states under amenable group action factor no infinite independent sets length k some k≥2, measures.

we consider an m/g/1 queue with regular and optional phase vacation and withstate dependent arrival rate. the vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of k -phases, each phase is generally distributed. here the first phase is compulsory where as the other phases are optional. for this model the supplementary var...

in many signal processing applications, an appropriate measure to comparetwo signals plays a fundamental role in both implementing the algorithm andevaluating its performance. several techniques have been introduced in literature assimilarity measures. however, the existing measures are often either impractical forsome applications or they have unsatisfactory results in some other applications....

This paper provides an overview of the interactive autonomous agents currently being developed for the Charismatic system. The paper discusses the conversational requirements for agents within the system and provides an overview of the styles of conversational interaction which may be supported in similar systems where a user can talk to autonomous agents and avatars. The paper presents guideli...