A Stochastic Inventory Model with Two Queues and a Flexible Server
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This paper focusses on a perishable inventory model with two stations, namely, station 1 and station 2 with two dedicated servers and one flexible server, where service rates are different with respect to stations and servers. By using matrix analysis method, the joint stationary distribution of the number of customers in station 1 and station 2, the status of the servers and the inventory level under steady state are investigated. Some significant measures of the system performance are obtained. Finally, some intrinsic numerical examples are given.
KeywordsContinuous review \((s, Q)\) policy Perishable commodity Heterogeneous servers Flexible server Additional service Balking and multiple vacations
The authors would like to express their thankfulness to the anonymous referees for precious remarks, which very much help the authors to improved the excellence of this paper.
- 5.Daniel, J. K., Ramanarayanan, R.: An inventory system with two servers and rest periods. In: Cahiers du C.E.R.O Bruxelles, vol. 29, pp. 95–100. University Libre De Bruxelles (1987)Google Scholar
- 13.Krishnamoorthy, A., Nair, S.S., Narayanan, V.C.: An inventory model with server interruptions. In: 5th International Conference on Queueing Theory and Network Applications (QTNA’10), pp. 132–139. Beijing (2010)Google Scholar
- 20.Saffari, M., Asmussen, S., Haji, R.: The M/M/1 queue with inventory, lost sale and general lead time. Queueing Syst., (2013). https://doi.org/10.1007/s11134-012-9337-3.
- 24.Yadavalli, V.S.S., Anbazhagan, N., Jeganathan, K.: A retrial inventory system with impatient customers. Appl. Math. Inf. Sci. Int. J. 9(2), 637–650 (2015)Google Scholar