000			02876cam a2200337 a 4500
003			EG-GiCUC
005			20250223031710.0
008			170401s2016 ua f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aM.Sc
099			_aCai01.18.03.M.Sc.2016.Ka.Q
100	0		_aKarim Rashad Ashour
245	1	0	_aQueues with renewal Inputs and markovian service process / _cKarim Rashad Ashour ; Supervised Elham Shoukry Mohamed , Elsayed Ahmed Elsherpieny
246	1	5	_aحول صفوف الإنتظار ذات المدخلات المتجددة و عملية الخدمة الماركوفية
260			_aCairo : _bKarim Rashad Ashour , _c2016
300			_a86 Leaves ; _c30cm
502			_aThesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics
520			_aStochastic modelling is the application of probability theory to the description and analysis of real world phenomena. One of the most important domains in stochastic modelling is the field of queueing theory. Queueing theory has many applications in telecommunications, manufacturing process, computer networks and even real life situations. The problem of analyzing complicated queueing models is receiving considerable attention in the last decades. Vacation queues with impatient customers are one of these models. The existing of more than one server with different service rates adds a challenging problem to the analysis of the queueing system. There are many ways used in analyzing such queueing systems. One of the most important methods is the matrix-geometric method which is special case from the matrix-analytic method. In this thesis, we presented and summarized the two methods and gave some examples to show that these methods are efficient and easy to use when dealing with complicated queueing models rather than traditional methods. Moreover, we introduced a two heterogeneous servers queueing system with multiple vacation in which the vacation duration of each server is exponentially distributed. When all servers are on vacation, customers are impatient if their waiting times exceed a constant value. Our model is represented as an M/G/1-type Markov chain. To derive the stationary distribution of the system we employed the matrix-analytic method. The stationary distribution of the model was explicitly obtained by considering the transition structure of the corresponding markov chain
530			_aIssued also as CD
653		4	_aMarkovian service process
653		4	_aMultiple vacation
653		4	_aQueues
700	0		_aElham Shoukry Mohamed , _eSupervisor
700	0		_aElsayed Ahmed Elsherpieny , _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aNazla _eRevisor
905			_aSamia _eCataloger
942			_2ddc _cTH
999			_c60476 _d60476