The areas under workload process and under queuing process in a single server queue over the busy period have many applications not only in queuing theory but also in risk theory or percolation theory. We focus here on the tail behaviour of distribution of these two integrals. We present various open problems and conjectures, which are supported by partial results for some special cases.

Some analytical results for exhaustive polling systems with semi-Markov delays, such as Pollaczek-Khintchin virtual and steady state analog are presented. Numerical solutions for k busy period, probability of states and queue length distribution are obtained. Numerical examples are presented.

Bardet-Biedl syndrome is a very rare autosomal-recessive disorder with pan-systemic effects. The perioperative period may be hazardous for patients with this disorder. We describe the presenting features and management of a child who was scheduled for elective ambulatory general anesthesia and discuss the relevant points for the busy anesthesiologist.

a linear programming model has been presented for finding an appropriate planning in order to maximize hotel revenue. in this model, a special planning horizon has been considered that includes several busy days of a year. there are several reservation periods that may start a few months earlier. each period of reservation may have different prices and so result different incomes. hotel custome...

This paper presents the analysis of a continuous review perishable inventory system wherein the life time of each item follows an exponential distribution. The operating policy is (s,S) policy where the ordered items are received after a random time which follows exponential distribution. Primary arrival follows Poisson distribution and they may turnout to be posit...

Much research has suggested that facial identification has some characteristics of automaticity, in that it is rapid, nonconscious, and mandatory. However, little research has tested whether it can occur even if attention is already devoted to the demanding central processes of another task. In the present study, we addressed this type of automaticity using the psychological refractory period p...