Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Control policies for the MX/g/1 queueing system
Management Science
A queue with service interruptions in an alternating random environment
Operations Research
Batch arrival queue with N-policy and single vacation
Computers and Operations Research
A single server queue with service interruptions
Queueing Systems: Theory and Applications
An M/G/1 queue with second optional service
Queueing Systems: Theory and Applications
A Single Server Poisson Input Queue with a Second Optional Channel
Queueing Systems: Theory and Applications
The M/G/1 processor-sharing queue with disasters
Computers & Mathematics with Applications
An M/G/1 queue with second optional service and server breakdowns
Computers & Mathematics with Applications
Control policy of a hysteretic bulk queueing system
Mathematical and Computer Modelling: An International Journal
A two-stage batch arrival queueing system with a modified bernoulli schedule vacation under N-policy
Mathematical and Computer Modelling: An International Journal
Modified T vacation policy for an M/G/1 queueing system with an unreliable server and startup
Mathematical and Computer Modelling: An International Journal
A single server priority queue with server failures and queue flushing
Operations Research Letters
A queueing network model with catastrophes and product form solution
Operations Research Letters
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This paper deals with an M^X/G/1 with an additional second phase of optional service and unreliable server, which consist of a breakdown period and a delay period under N-policy. While the server is working with any phase of service, it may break down at any instant and the service channel will fail for a short interval of time. Further concept of the delay time is also introduced. If no customer arrives during the breakdown period, the server becomes idle in the system until the queue size builds up to a threshold value N(=1). As soon as the queue size becomes at least N, the server immediately begins to serve the first phase of regular service to all the waiting customers. After the completion of which, only some of them receive the second phase of the optional service. We derive the queue size distribution at a random epoch and departure epoch as well as various system performance measures. Finally we derive a simple procedure to obtain optimal stationary policy under a suitable linear cost structure.