In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...

In this paper, we investigate a single server batch arrival non-Markovian retrial queueing model with random break down and Bernoulli vacation. Customers arrive in batches accordingly Poisson process with arrival rate λ but are served one by one with first come first served basis. All customers demand the first essential service, whereas only some of them demand the second optional service. The...

Two types of service; Re-service; Modified vacation; Balking; Service interruption Abstract This paper deals with the steady state analysis of batch arrival retrial queueing system with two types of service under modified vacation policy, where each type consists of an optional re-service. An arriving batch may balk the system at some particular times. After the completion of each types of serv...

We consider a batch arrival queueing system with two phases of service, feedback and K optional vacations under a classical retrial policy. At the arrival epoch, if the server is busy the whole batch joins the orbit. Whereas if the server is free, then one of the arriving customer starts its service immediately and the rest joins the orbit. For each customer, the server provides two phases of s...

Resumen Consideremos el sistema de colas con reintentos M2/G2/1 con dos tipos de clientes y política de reintentos lineal. Si un cliente llega al sistema y encuentra el servidor libre, entonces empieza su servicio inmediatamente. Si no, los clientes del primer tipo van a una cola y apenas se libera el servidor, el primer cliente empieza su servicio. El segundo tipo de clientes al encontrar el s...

We consider a discrete-time G e o / 1 ∞ system in which customer that finishes its first essential service may opt to abandon the system, receive second optional or go at head of queue order another service. study Markov chain underlying considered queueing and ergodicity condition. Using generating function approach distribution number customers as well their respective means are given. The bu...

An M/G/1 retrial queue with two-phase service and feedback is studied in this paper, where the server is subject to starting failures and breakdowns during service. Primary customers get in the system according to a Poisson process, and they will receive service immediately if the server is available upon arrival. Otherwise, they will enter a retrial orbit and are queued in the orbit in accorda...

Maintenance activities mostly depend on the specific conditions of individual equipment, being defined as personalized businesses. In order to improve efficiency maintenance for complex equipment in lots, thinking mass customization is used. After modular technology used generic model, product/service was divided into mandatory and optional modules, which can form multiple service solutions. Co...