Inventory models for breakable items with stock dependent demand and imprecise constraints

This paper develops multi-item Economic Order Quantity (EOQ) inventory models for breakable units with stock dependent demand under imprecise constraints. The units are damaged due to the accumulated stress of the stocked items kept in stacked form and the damaged function, i.e. rate of breakability per unit time may be linear or non-linear function of current stock level. Here shortages are not allowed. Both the crisp and fuzzy models have been formulated as profit maximization problems with crisp/imprecise space and budget constraints and solved by using a gradient based non-linear programming technique, Generalised Reduced Gradient (GRG) Method. The models are illustrated with a numerical example and some sensitivity analyses have been presented.