Κατεύθυνση Στατιστική και Επιχειρησιακή Έρευνα
Library of the School of Science

2019-02-11

2019

Κασιμάτης Βασίλειος

Αντώνης Οικονόμου, Καθηγητής τμήματος Μαθηματικών

Strategic customer behaviour in queuing systems with general service times

English

Strategic customer behaviour in queuing systems with general service times

The thesis deals with changes of M/G/1 queue and our goal is to calculate the equilibrium probabilities through recursive schemes and the study of strategic behaviour of the customers. In the analysis of each model, firstly we decompose the system into subsystems, after we equate the ''in'' and ''out'' rates at each sate, and finally, we use the Little's law and the normalization equation in order to find the recursive shceme. The use of basic lemmas is necessary for taking the basic result for the equilibrium probability. For the M/G/1 queue, we quote the basic result of the equilibrium probability. Moreover, we study the M/G/1/1 queue with orbit, where a customer, who finds the server busy, joins the orbit and the M/G/1 queue with k-policy, where the server is activated only when the cumulative number of customers exceeds some
predetermined threshold k. In both models, using the previous technique, we calculate the equilirium probability, recursively. Furtermore, we study the strategic customer behaviour of customers, characterising the equilibrium joining probabilities with which a customer joins the system, taking into account the maximization of his profit.

Science

customer, queue, probability, strategy, profit, distribution, system

Yes

2

No

3

104

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https://pergamos.lib.uoa.gr/uoa/dl/object/2857977