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Titre : | Contribution à l’étude de différents systèmes de files d’attente avec impatience |
Type de document : | texte imprimé |
Editeur : | université Dr mouley tahar, Faculté des Sciences, Saida, Algerie : Alger: univ-saida, 2020 |
ISBN/ISSN/EAN : | SCT01695 |
Format : | 247p / 27cm |
Langues: | Anglais |
Catégories : | |
Mots-clés: | Queueing systems, impatient customers, balking, reneging, stability. |
Résumé : |
In this thesis, we analyze the impatient behaviour in different queueing systems due
to different factors including server state, quality of service, waiting time, etc. Firstly, we obtain the steady-state probabilities for an M/M/2/N queueing system with two heterogeneous servers, feedback, vacation, working vacation, balking, reneging which depends on server state and retention of reneged customers, using supplementary vari- able and recursive techniques. Secondly, we use the recursive method to establish the solution of an infinite capacity queueing system with differentiated vacations, vaca- tion interruption, balking, reneging during the busy period and retention of reneged customers. Thirdly, we analyze the impatient behavior (reneging), the impact of re- tention of reneged customers and feedback in an M/M/1 queueing system with single vacation and waiting server, M X /M/1 with waiting server and K-variant vacations, In this thesis, we analyze the impatient behaviour in different queueing systems due to different factors including server state, quality of service, waiting time, etc. Firstly, we obtain the steady-state probabilities for an M/M/2/N queueing system with two heterogeneous servers, feedback, vacation, working vacation, balking, reneging which depends on server state and retention of reneged customers, using supplementary vari- able and recursive techniques. Secondly, we use the recursive method to establish the solution of an infinite capacity queueing system with differentiated vacations, vaca- tion interruption, balking, reneging during the busy period and retention of reneged customers. Thirdly, we analyze the impatient behavior (reneging), the impact of re- tention of reneged customers and feedback in an M/M/1 queueing system with single vacation and waiting server, M X /M/1 with waiting server and K-variant vacations, M X /M/c with K-variant working vacations as well as M X /M/c with waiting servers and both single multiple vacation policies. We establish the stationary analysis for these queueing systems using the probability generating function. In addition, we de- rive useful performance measures and present the economic analysis of the different models presented in this thesis. In addition, we study the optimization of the fourth and sixth queueing systems using the PSO and QFSM methods. |
Exemplaires (1)
Code-barres | Cote | Support | Localisation | Section | Disponibilité |
---|---|---|---|---|---|
SCT01695 | TMDO00022 | Périodique | Salle des Thèses | Mathématique | Exclu du prêt |
Documents numériques (1)
Contribution à l’étude de différents systèmes de files d’attente avec impatience Adobe Acrobat PDF |