Mathematical Analysis of Queue with Phase Service: An Overview

Table 6

Recent literature on discrete queueing model with phase service.

Models	Special features	Authors	Methodology
/G/1	Retrial queue, bulk arrival, starting failure, stochastic decomposition, and -stage service	Jain and Agrawal [16, 17]	Probability generating function
	Retrial queue, feedback, and phase service	Liu and Gao [165]
Geo/Geo/1	Second optional service	Lin et al. [166]	Matrix analytic approach, quasi-Newton method
MAP/PH/1	Discrete time, multiple working vacations, and two-phase service	Goswami and Selvaraju [167]	Matrix analytic method
GI/D-MSP/1	Discrete time, multiple vacations,	Samanta and Zhang [168]	Matrix geometric method