AN INVENTORY SYSTEM WITH PARTIAL BACKLOGGING MODELED ACCORDING TO A LINEAR FUNCTION

L. A. San José (), J. Sicilia () and J. García-Laguna ()
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L. A. San José: Departamento de Matemática Aplicada, ETS de Ingeniería Informática Campus Miguel Delibes, Universidad de Valladolid, 47011 Valladolid, Spain
J. Sicilia: Departamento de Estadística, Investigación Operativa y Computación, Facultad de Matemáticas, Campus de Anchieta s/n., Universidad de La Laguna, 38206 Tenerife, Spain
J. García-Laguna: Departamento de Estadística e Investigación Operativa, Facultad de Ciencias, C/Prado de la Magdalena s/n., Universidad de Valladolid, 47005 Valladolid, Spain

Asia-Pacific Journal of Operational Research (APJOR), 2005, vol. 22, issue 02, 189-209

Abstract: In this paper, we study an inventory system with partial backlogging, in which the backlogging rate is a continuous and nonincreasing two piece function. The total shortage cost includes three significant costs: the unit backorder cost (depending on the backorder time), the opportunity cost, and the goodwill cost. This model generalizes several inventory systems studied by other authors. The optimal policy is characterized through several results, which depend on the values of the known input parameters. Illustrative examples and a sensitivity analysis, which help us understand the theoretical results, are also given.

Keywords: Inventory; EOQ; partial backlogging; customer impatience function (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S0217595905000571

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