A two phase batch arrival queueing system with a vacation time under Bernoulli schedule

Steady state analysis of an Mx/G/1 queue with two phase service and Bernoulli vacation schedule under multiple vacation policy

“…Thus in this paper, we propose to study such a single server batch arrival queue with two phases of heterogeneous service under Bernoulli vacation schedule, where the concept of multiple vacation policy is also introduced. Unlike, Choudhury and Madan [4] (also see [6]), ours is completely different from them, where after two successive phases of service or after first vacation, the server may go for further vacations till it finds a new batch of customer in the system and this generalized many queueing situations. Using Kendall's notation, the model considered in this paper is an M x /(G 1 ,G 2 )/V M /1(BS) queue, where BS represents Bernoulli schedule vacation and V M represents multiple vacation policy.…”

“…The vacation time random variable 'V' of the server has a general probability with d.f V(x), LST V * (h) = E[e ÀhV ] and finite first and second moments c (1) = E(V) and c (2) = E(V 2 ), respectively and is independent of the service times S i and arrival process. This type of model is known as batch arrival Bernoulli vacation model with two phases of heterogeneous service and with single vacation, studied recently by Choudhury and Madan [4] (also see [6]). Now for further development of such type of model, we introduce the concept of multiple vacation policy, where after completion of SPS or first vacation, the server may take further vacations until it finds a new batch of customers in the system.…”

“…Interested readers can find a brief literature review in [3]. A numbers of papers [4][5][6][7] have recently appeared in queueing literature in which the server provides to each unit two phases of heterogeneous service in succession with Bernoulli schedule vacation (BS) under different vacation policies. Such types of queueing models are known as two phase queueing systems with Bernoulli vacation schedule.…”

Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule

“…Further, Choudhury and Ke [11] have developed queueing models with the concept of general retrial times along with Bernoulli vacation schedule. A number of authors, Choudhury and Madan [8], Ke and Chang [18], Choudhury and Deka [7] have developed queueing models with the concept of general retrial times along with Bernoulli vacation schedule…”

Batch Arrival, Single Server with Two Stage Heterogeneous Service, Bernoulli Schedule Server Vacation Feed Back, Random Break Down and Delayed Repair Time

“…BadamchiZadeh [4] studied two phases queue system with Bernoulli feedback and Bernoulli schedule server vacation. Choudhury [7] analyzed about two phases batch arrival queueing system with a vacation time under Bernoulli schedule. Madan [20,21] discussed a single server with two types of service and deterministic server vacations as well as Bernoulli vacation.…”