This paper studies a Markov model of queuing-inventory system with primary, retrial, and feedback customers. Primary customers form Poisson flow, if an inventory level is positive upon their arrival, they instantly receive the items. If equal to zero arrival primary customer, then this according Bernoulli scheme, either leaves or goes into infinite buffer repeat request in future. The rate retr...

Cutaneous immune related adverse events (cirAEs) are a common effect of checkpoint inhibitors (ICI), at times severe enough to require discontinuation ICI therapy. It is unclear whether the involvement board-certified dermatologist (BCD) in care cirAEs might affect retrial or survival outcomes. As such, we sought evaluate these potential associations. In this single institution cohort analysis ...

In the study of large scale stochastic networks with resource management, differential equations and mean-field limits are two key techniques. Recent research shows that the expected fraction vector (that is, the tail probability vector) plays a key role in setting up mean-field differential equations. To further apply the technique of tail probability vector to deal with resource management of...

Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy. We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model. Using the matrix-analytic method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decompo...

We consider a multiclass retrial system with classical retrials, and present new short proof of the sufficient stability (positive recurrence) condition system. The is based on analysis departures from balance equation between arrived departed work. Moreover, we apply asymptotic results theory renewal regenerative processes. This then extended to outgoing calls. A few numerical examples illustr...

<p style='text-indent:20px;'>In this article, we propose a dynamic operating of single server service system between conventional and retrial queues with impatient customers. Necessary sufficient conditions for the stability, an explicit expression joint steady-state probability distribution are obtained. We have derived some interesting important performance measures under consideration....

The paper studies a multiserver retrial queueing system with m servers. Arrival process is a point process with strictly stationary and ergodic increments. A customer arriving to the system occupies one of the free servers. If upon arrival all servers are busy, then the customer goes to the secondary queue, orbit, and after some random time retries more and more to occupy a server. A service ti...

We consider a retrial tandem queueing system with two servers whose service times follow two exponential distributions. There are two types of customers: type one and type two. Customers of type one arrive at the first server according to a Poisson process. An arriving customer of type one that finds the first server busy joins an orbit and retries to enter the server after some time. We assume...

We present an algorithmic solution for the stationary distribution of M/M/c/K retrial queue which consists of an orbit with infinite capacity and a service facility that has c exponential servers and waiting space of size K− c. The behavior of queue length process in the retrial queue is described by level dependent quasi-birth-and-death (LDQBD) process due to repeated attempts. The algorithm i...