Annals of Operations Research

, Volume 141, Issue 1, pp 67–83

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


    • Department of Statistics and Operations Research, Faculty of MathematicsComplutense University of Madrid
  • A. Krishnamoorthy
    • Department of MathematicsCochin University of Science and Technology
  • M. J. Lopez-Herrero
    • School of StatisticsComplutense University of Madrid

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
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© Springer Science + Business Media, Inc. 2006