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Inventory with service time and transfer of customers and/inventory

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Abstract

An inventory system with two parallel service facilities is considered. A certain number of customers are transferred from longer to shorter queue whenever their difference reaches a prescribed quantity. Along with this customer transfer, a certain quantity of inventory is also transferred, depending on availability. Further, if one of the queues has customers, but has no inventoried items whereas the other has at least one inventoried item to spare, then exactly one item is taken to the former and service begins thereby enhancing the efficiency of the system. Stability of the system is analysed. Several performance measures that helps in efficient design of such systems, are computed. Some numerical results are provided.

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Author notes

  1. T. G. Deepak

    Present address: Department of Applied Sciences, Indian Institute of Space Science & Technology (IIST), Thiruvananthapuram, 695022, India

Authors and Affiliations

  1. Government Polytechnic College, Kothamangalam, Kerala, India

    T. G. Deepak

  2. Department of Mathematics, Cochin University of Science and Technology, Cochin, Kerala, India

    A. Krishnamoorthy

  3. Department of Mathematics, Govt. Engineering College, Sreekrishnapuram, Kerala, India

    Viswanath C. Narayanan

  4. Department of Statistics, University of Calicut, Calicut University P.O., Kerala, India

    K. Vineetha

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  1. T. G. Deepak
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  2. A. Krishnamoorthy
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  3. Viswanath C. Narayanan
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  4. K. Vineetha
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Correspondence to A. Krishnamoorthy.

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Deepak, T.G., Krishnamoorthy, A., Narayanan, V.C. et al. Inventory with service time and transfer of customers and/inventory. Ann Oper Res 160, 191–213 (2008). https://doi.org/10.1007/s10479-007-0304-z

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  • DOI: https://doi.org/10.1007/s10479-007-0304-z

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