On a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy

A study on stages of queuing system in aircraft control system

“…The same work was later proposed by Keilson and Servi (1987) under certain modifications. Madan and Abu Al-Rub (2004) contemplates the staged kind server getaways base on single get-away approach. The single entry lining framework M/G/1 have been examined by various creators, as Madan and Baklizi (2002), Artalejo and Choudhury (2004) and so on because of its wide applications.All the more as of late, the vast majority of the investigations have been dedicated to group landing excursion models under various get-away approaches due to its interdisciplinary character.…”

On optional deterministic server vacations in a single server queue providing two types of first essential service followed by two types of additional optional service

“…In recent times, queues on vacations have assumed a greater significance. Many researchers including Madan and Choudhury [7], Gaver [1], Kielson and Servi [2], Tegham [12] , Krishnamoorthy and Srinivasan [3], Shanthikumar [10], Takagi [11], Madan & Abu-Rub [5,6] , have studied queues assuming a variety of vacation policies including Bernoulli schedule vacations or modified Bernoulli schedule vacations, working vacations or vacations based on exhaustive vacations. Further, majority of authors who studied many real life situations, the server may take a break or a vacation of fixed length as it happens in offices or factories, where the workers get a lunch break of fixed length.…”

A Non-Markovian Multistage Batch Arrival Queue with Breakdown and Reneging

“…In 2004 Madan and Abu Al-Rub [12] investigated on a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy. Furthermore Madan and Choudhury [13] proposed a queueing system with restricted admissibility of arriving batches.…”