Contents	6
	Preface	10
	Acknowledgements	12
	1 Introduction	13
	1.1 Queuing Systems with Server Vacations	13
	1.2 Vacation Policies	15
	1.3 Stochastic Decompositions in Vacation Models	16
	1.4 Bibliographic Notes	17
	2 M/G/1 Type Vacation Models: Exhaustive Service	20
	2.1 M/G/1 Queue with Multiple Adaptive Vacations	21
	2.2 Some Classical M/G/1 Vacation Models	30
	2.3 M/G/1 Queue with Multiple Adaptive Vacations	38
	2.4 Discrete-Time Geo/G/1 Queue with Vacations	46
	2.6 General-Service Bulk Queue with Vacations	65
	2.7 Finite-Buffer M/G/1 Queue with Vacations	80
	2.8 Bibliographic Notes	84
	3 M/G/1 Type Vacation Models: Nonexhaustive Service	87
	3.1 Regeneration Cycle Method	87
	3.2 Gated Service M/G/1 Vacation Models	91
	3.3 Limited Service M/G/1 Vacation Models	100
	3.4 Decrementing Service M/G/1 Vacation Models	125
	3.5 Bibliographic Notes	136
	4 General-Input Single Server Vacation Models	138
	4.1 GI/M/1 Type Structure Matrix	138
	4.2 GI/M/1 Queue with Multiple Vacations	143
	4.3 GI/M/1 Queue with Single Vacation	160
	4.4 GI/M/1 Queue with N-Threshold Policies	171
	4.5 General-Input Bulk Queue with Vacations	179
	4.6 Finite-Buffer GI/M/1 Vacation Model	188
	4.7 Discrete-Time GT/ Geo/1 Queue with Vacations	192
	4.8 Bibliographic Notes	200
	5 Markovian Multiserver Vacation Models	202
	5.1 Introducion to Multiserver Vacation Models	202
	5.2 Quasi-Birth-and-Death Process Approach	205
	5.3 M/M/c Queue with Synchonous Vacations	212
	5.4 M/M/c Queue with Asynchonous Vacations	229
	5.5 M/M/c Queue with Synchonous Vacations of Some Servers	244
	5.6 M/M/c Queue with Asynchonous Vacations of Some Servers	266
	5.7 Bibliographic Notes	275
	6 General-Input Multiserver Vacation Models	277
	6.1 GI/M/c Queue with Exponential Vacations	277
	6.1 GI/M/c Queue with PH Vacations	288
	6.3 Bibliographic Notes	303
	7 Optimization in Vacation Models	305
	7.1 M/G/1 Queue with Threshold Policies	305
	7.2 Dynamic Control in M/G/1 System with Vacation of Multiple Types	326
	7.3 M/M/c Queue with Threshold Policies	338
	7.4 Bibliographic Notes	349
	8 Application of Vacation Models	351
	8.1 Modeling the Flexible Production System	351
	8.2 Modeling the Stochastic Service System with Multitask Servers	353
	8.3 Modeling SVCC-Based ATM Networks	358
	9 References	367
	Index	391