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Analysis of Retrial Queueing-Inventory System with Stock Dependent Demand Rate: (s, S) Versus (s, Q) Ordering Policies

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Abstract

Looking into the common real-life observation, particularly, the continuous time Markovian queueing inventory models with the demand rate depends on the on-hand inventory level. It may influence to gain more sale and profit of a particular item. According to this fact, we consider the demand rate of primary as well as retrial customers depending on the on-hand inventory level. An arriving primary customer finds the positive inventory, immediately they purchase an item with a rate depending on the present stock level and at the time of zero inventory, they will enter into the orbit of infinite capacity. The same assumption also holds for retrial customers if the inventory level(IL) is positive. Based on the ordering policies, we present two models: (i) (s, S) policy (ii) (s, Q) Policy. By applying Neut’s Matrix Geometric techniques, the system characteristics are computed under the steady state conditions and the numerical illustrations show the flexibility of the ordering polices in the proposed model.

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Acknowledgements

The authors would like to express their thankfulness to the two anonymous referees for precious remarks, which very much improved the excellence of this paper.

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Authors and Affiliations

  1. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India

    K. Jeganathan & S. Selvakumar

  2. Department of Food Business Management, College of Food and Dairy Technology, TANUVAS, Chennai, 600052, India

    M. Abdul Reiyas

  3. Department of Mathematics, Alagappa University, Karaikudi, India

    N. Anbazhagan

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  1. K. Jeganathan
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  2. M. Abdul Reiyas
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  3. S. Selvakumar
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  4. N. Anbazhagan
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Correspondence to K. Jeganathan.

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Jeganathan, K., Reiyas, M.A., Selvakumar, S. et al. Analysis of Retrial Queueing-Inventory System with Stock Dependent Demand Rate: (s, S) Versus (s, Q) Ordering Policies. Int. J. Appl. Comput. Math 6, 98 (2020). https://doi.org/10.1007/s40819-020-00856-9

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  • DOI: https://doi.org/10.1007/s40819-020-00856-9

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