Annals of Operations Research

, Volume 141, Issue 1, pp 67–83

Numerical analysis of(s, S) inventory systems with repeated attempts

  • J. R. Artalejo
  • A. Krishnamoorthy
  • M. J. Lopez-Herrero

DOI: 10.1007/s10479-006-5294-8

Cite this article as:
Artalejo, J.R., Krishnamoorthy, A. & Lopez-Herrero, M.J. Ann Oper Res (2006) 141: 67. doi:10.1007/s10479-006-5294-8


This paper deals with a continuous review (s,S) inventory system where arriving demands finding the system out of stock, leave the service area and repeat their request after some random time. This assumption introduces a natural alternative to classical approaches based either on lost demand models or on backlogged models. The stochastic model formulation is based on a bidimensional Markov process which is numerically solved to investigate the essential operating characteristics of the system. An optimal design problem is also considered.


Inventory modelsNumerical methods of truncationRepeated attemptsStationary distribution

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • J. R. Artalejo
    • 1
  • A. Krishnamoorthy
    • 2
  • M. J. Lopez-Herrero
    • 3
  1. 1.Department of Statistics and Operations Research, Faculty of MathematicsComplutense University of MadridMadridSpain
  2. 2.Department of MathematicsCochin University of Science and TechnologyCochinIndia
  3. 3.School of StatisticsComplutense University of MadridMadridSpain