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N-Policy for a Production Inventory System with Positive Service Time

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Information Technologies and Mathematical Modelling. Queueing Theory and Applications (ITMM 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1605))

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Abstract

This paper presents an optimal control policy that minimizes the long-run cost in an (s, S) production inventory system with positive service time. The Matrix Geometric method is used to analyze the system. A necessary and sufficient condition for system stability is obtained. Some significant system performance measures are defined, and the effect of system parameters on performance measures is illustrated numerically. The Optimal (s, S) pair is determined for the specific set of parameter values, and the effects of the parameters on the cost function are graphically illustrated.

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Author information

Authors and Affiliations

  1. Government Women’s Polytechnic College, Thrissur, 680007, Kerala, India

    N. J. Thresiamma

  2. Department of Mathematics, St. Peter’s College, Kolenchery, 682311, Kerala, India

    K. P. Jose

Authors
  1. N. J. Thresiamma
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  2. K. P. Jose
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Corresponding author

Correspondence to K. P. Jose .

Editor information

Editors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    Alexander Dudin

  2. Tomsk State University, Tomsk, Russia

    Anatoly Nazarov

  3. Tomsk State University, Tomsk, Russia

    Alexander Moiseev

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Thresiamma, N.J., Jose, K.P. (2022). N-Policy for a Production Inventory System with Positive Service Time. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM 2021. Communications in Computer and Information Science, vol 1605. Springer, Cham. https://doi.org/10.1007/978-3-031-09331-9_5

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  • DOI: https://doi.org/10.1007/978-3-031-09331-9_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-09330-2

  • Online ISBN: 978-3-031-09331-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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