|
Models | Special features | Authors | Methodology |
|
M/M/1 | Second optional service in batches | Jain et al. [86] | Probability generating function |
|
| Retrial queue, Bernoulli vacation, and two-phase service | Choudhury [134] | Embedded Markov chain, probability generating function |
| Choudhury and Kalita [140] |
Probability generating function |
M/G/1 | Bernoulli vacation, server breakdown, and two-phase service | Ke and Chang [141] |
Bulk arrival, multiple vacation | Jeyakumar and Arumuganathan [142] |
| Retrial queue, server breakdown, batch arrival, and two-phase service | Kumar and Arumuganathan [143] |
| Multioptional services, multi-optional vacations, and unreliable server | Jain et al. [72] | Probability generating function, supplementary variable technique |
|
/(G1, G2)/1 | Bulk arrival, setup, bilevel threshold policy, single vacation, and two phases of essential service | Mary et al. [144] | Probability generating function, supplementary variable technique, and stochastic decomposition |
|
BMAP/G/1 | Bulk arrival, multiple vacations, and second optional service | Wu et al. [145] | Probability generating function |
|