Abstract
Analysis of a bulk queueing system with server breakdown and vacation interruption
Highlights
The roles of quality and service performance are the crucial aspects in customer perceptions, and firms must dedicate special attention to them when designing and implementing their operations
After completing the renovation of service station or there is no breakdown of the server with probability (1− π ), if the server finds at least ‘ a ’ customers waiting for service say ξ, the server serves a batch of min (ξ,b) customers, where b ≥ a
Once the required level is reached to start the primary service, there is no point in continuing the secondary job
Summary
The roles of quality and service performance are the crucial aspects in customer perceptions, and firms must dedicate special attention to them when designing and implementing their operations. Upon completion of the dyeing process, if the supply of cloth is less than 800kg it stops the process and performs some other work (secondary job/vacation) like wetting process, washing using suitable chemicals, etc. After completing his secondary job, if the required number of cloths is less than the threshold value 800 kg, the operator waits in the system till the required number of cloth arrives This dyeing machine can be modelled as bulk arrival batch service queueing model with breakdown and vacation interruption. In all the aforesaid models with breakdown, the server cannot come back (vacation interruption) to the normal working level (regular busy period), until the vacation period ends This stimulates the authors to develop a single server bulk arrival bulk service queueing system with breakdown and vacation interruption. This model is proposed to overcome this difficulty and to make the system operate more efficiently
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