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

Authors:
Anirban Saha;Arindam Roy;Samarjit Kar;Manoranjan Maiti
Affiliations:
School of Applied Sciences, Haldia Institute of Technology, Hatiberia, Purba-Medinipur, WB, Pin-721 657, India;Department of Computer Science, Contai P.K. College, Contai, Purba-Medinipur, WB, India;Department of Mathematics, National Institute of Technology, Durgapur, WB, Pin-713 209, India;Department of Applied Mathematics, Vidyasagar University, Midnapore, WB, Pin-721 102, India
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

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Abstract

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.