Bernoulli vacation model for <i>M</i>^X<i>/G/</i>1 unreliable server retrial queue with bernoulli feedback, balking and optional service

The study of unreliable server retrial bulk queue with multiphase optional service is analyzed by incorporating the features balking, Bernoulli vacation and feedback. On occasion when occupied customers, an arriving customer finding long queue, can join orbit receives its later on making re-attempt. system reinforced multi phase along essential joining opt any one services after getting service. Furthermore, essential/optional be aborted due to abrupt failure server. There immediate support repair facility take care failed server, but sometimes may put hold virtue unexpected cause. If unsatisfactory, rejoin as feedback customer. permitted following respective busy period. For evaluating size distribution other performance metrics, supplementary variable technique (SVT) used. approximate solutions for steady state probabilities waiting time are suggested using maximum entropy principle (MEP). We perform a comparative exact obtained derived taking numerical illustration. Quasi Newton method used find optimal cost. To verify outcomes model, illustrations senstivity analysis have been accomplished.