Optimal and Equilibrium Retrial Rates in Single-Server Multi-orbit Retrial Systems

Abstract : We consider a single-server retrial system with one and several classes of customers. In the case of several classes, each class has its own orbit for retrying customers. The retrials from the orbits are generated with constant retrial rates. In the single class case, we are interested in finding an optimal retrial rate. Whereas in the multi-class case, we use game theoretic framework and find equilibrium retrial rates. Our performance criteria balance the number of retrials per retrying customer with the number of unhappy customers.
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Magnus Jonsson ; Alexey Vinel; Boris Bellalta; Olav Tirkkonen. 8th International Workshop on Multiple Access Communications (MACOM 2015), Sep 2015, Helsinki, Finland. Springer, 9305, pp.135-146, 2015, Lecture Notes in Computer Science. 〈http://www.springer.com/fr/book/9783319234397?wt_mc=ThirdParty.SpringerLink.3.EPR653.About_eBook〉. 〈10.1007/978-3-319-23440-3_11〉
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Konstantin Avrachenkov, Evsey Morozov, Ruslana Nekrasova. Optimal and Equilibrium Retrial Rates in Single-Server Multi-orbit Retrial Systems. Magnus Jonsson ; Alexey Vinel; Boris Bellalta; Olav Tirkkonen. 8th International Workshop on Multiple Access Communications (MACOM 2015), Sep 2015, Helsinki, Finland. Springer, 9305, pp.135-146, 2015, Lecture Notes in Computer Science. 〈http://www.springer.com/fr/book/9783319234397?wt_mc=ThirdParty.SpringerLink.3.EPR653.About_eBook〉. 〈10.1007/978-3-319-23440-3_11〉. 〈hal-01259013〉

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