Universal study of Three Product Inventory Model With Production by Two-Unit System and Sales

  • Authors

    • D. Kanagajothi
    • S. Srinivasaragavan
    • S. Parvathi
    https://doi.org/10.14419/ijet.v7i3.24.22696
  • Inventory systems, Production models, stochastic models, Two-unit systems.

  • Abstract

    This paper is dedicated to the analysis of two (s, S) inventory systems. In this paper we study three different products inventory systems when productions of three different products are done alternately. The products are produced by a two-unit system with exponential failure and repair times. The sales time starts when k sets of the three different products are produced or when the two unit system fails. The double Laplace transform of the probability density function of the time to start sales and sales time and their means are obtained. Numerical examples are presented with MATLAB ODE Tool.

     

     

  • References

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      [4]. Sankaranrayanan, G and Ramanarayanan, R (1977): On correlated life and repair times, Math. Operations for sch.staatis.ser.optimization, 8,127-136.

      [5]. Taylor, H.M. (1975): Optimal replacement under additive damage and other failure models, Nav.res.Log.Quart. 22, 1-8.

      [6]. Thangaraj, V. and Ramanarayanan, R (1983): An operating policy in inventory systems with random lead times and unit demands, Math.Operations forsch U.Statist.Ser.Optim, (14), 111-124.

      Usha, K. and Ramanarayanan, R. (1981): General analysis of system in which a two-unit system is a sub-system, Math.Operations forsch. Statistics.Ser. Statistics, 12(4)629-637.

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  • How to Cite

    Kanagajothi, D., Srinivasaragavan, S., & Parvathi, S. (2018). Universal study of Three Product Inventory Model With Production by Two-Unit System and Sales. International Journal of Engineering & Technology, 7(3.24), 404-408. https://doi.org/10.14419/ijet.v7i3.24.22696

    Received date: 2018-12-01

    Accepted date: 2018-12-01