Title: A fuzzy multi-item production model with reliability and flexibility under limited storage capacity with deterioration via geometric programming

Authors: Dharmendra Yadav, Shivraj Pundir, Rachna Kumari

Addresses: Department of Applied Science, IIMT Engineering College, Meerut 250001, UP, India. ' Department of Mathematics, D.N. (P.G.) College, Meerut 250001, UP, India. ' Department of Mathematics, Meerut College, Meerut 250001, UP, India

Abstract: A multi-item EPQ model for deteriorating items is built-up with limited storage space and with flexibility and reliability of production process. Here, production rate for the items is depends on the demand and items deteriorate at constant rates. Due to high rent in market place, storage space is considered limited and imprecise in nature. Inventory related costs, storage space and other parameters are imprecise and taken as it triangular fuzzy number. We solve this inventory decision problem using Modified Geometric Programming (MGP) method. Following the theoretical treatment, we provide a numerical example to demonstrate that MGP has potential as a valuable analytical tool for researchers. At the end some sensitivity analysis with different parameters are made.

Keywords: storage space; triangular fuzzy numbers; MGP; modified geometric programming; flexibility; reliability; fuzzy modelling; multi-item production models; EPQ; economic production quantity; deteriorating items; inventory costs.

DOI: 10.1504/IJMOR.2011.037314

International Journal of Mathematics in Operational Research, 2011 Vol.3 No.1, pp.78 - 98

Available online: 03 Dec 2010 *

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