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January 2019 A retrial queueing-inventory system with service option on arrival and Multiple vacations
Afr. Stat. 14(1): 1917-1936 (January 2019). DOI: 10.16929/as/2019.1917.142


New models of a retrial queueing inventory system with finite buffer and two types of services (say, Type-1 and Type-2) are proposed. Here we discussed a type 1 service, in which a customer enters in the system and receives the service only. In type-2 service, a customer gets the service and the level of inventory is reduced to one (demand an item). Some important system performance measures in the steady state are derived and long-run total expected cost rate of the proposed model is developed. The results of the numerical examples are shown.

De nouveaux modèles de système de file d'attente relatifs aux inventaire avec mémoire tampon finie et deux types de services (par exemple, type 1 et type 2) sont proposés. Nous discutons un premier service de type 1 dans lequel un client entre dans le système et ne reçoit que le service. Dans le service de type 2, un client reçoit le service et ne peut demander qu'un article au plus. Certaines mesures importantes de performance du système en régime permanent sont donnees ainsi queque le taux de coût total prévu à long terme. Des résultats d'exemples numériques sont fournis.


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Jothivel KATHIRESAN. Kathirvel JEGANATHAN. Neelamegam ANBAZHAGAN. "A retrial queueing-inventory system with service option on arrival and Multiple vacations." Afr. Stat. 14 (1) 1917 - 1936, January 2019.


Published: January 2019
First available in Project Euclid: 24 May 2019

zbMATH: 07058650
MathSciNet: MR3954231
Digital Object Identifier: 10.16929/as/2019.1917.142

Primary: 60J27 , 90B05

Keywords: continuous review inventory system , multiple vacations , positive lead time , retrial customers , two types of service and impatient customers

Rights: Copyright © 2019 The Statistics and Probability African Society

Vol.14 • No. 1 • January 2019
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