Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost |
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Affiliation: | 1. IMUVA, Departamento de Matemática Aplicada, Universidad de Valladolid, Valladolid, Spain;2. Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna, Tenerife, Spain |
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Abstract: | In this paper, an economic order quantity inventory model is analyzed, considering that the unit cumulative holding cost has two significant components: a fixed cost which represents the cost of accommodating the item in the warehouse and a variable cost given by a potential function of the length of time over which the item is held in stock. Shortages are allowed and, during the stockout period, only a fraction of demand is partially backordered. The backordering cost includes a fixed cost and a cost linearly dependent on the length of time for which backorder exists. A solution procedure is developed for determining the optimal inventory policy. Moreover, to illustrate the effects of some parameters on the optimal policy and the minimum total inventory cost, a numerical study is developed. |
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Keywords: | Inventory models Nonlinear holding cost Partial backordering Optimization |
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