Title: Production inventory models for deteriorating items with production quantity dependent demand and Weibull decay

Authors: K. Srinivasa Rao, S.V. Uma Maheswara Rao, K. Venkata Subbaiah

Addresses: Department of Statistics, College of Science and Technology, Andhra University, Visakhapanam 530 017, Andhra Pradesh, India. ' Department of Marine Engineering, College of Engineering, Andhra University, Visakhapanam 530 017, Andhra Pradesh, India. ' Department of Mechanical Engineering, College of Engineering, Andhra University, Visakhapanam 530 017, Andhra Pradesh, India

Abstract: Production scheduling is an important part of manufacturing. For production scheduling, inventory models play a dominant role. Most of the inventory models of deteriorating items assume that the rate of deterioration is known and constant. In this paper, we concern ourselves with a production inventory system with the assumption that the life time of the product is random and follows a Weibull distribution. The Weibull rate of decay includes increasing, decreasing and constant rates of decay. Assuming that the demand rate is a function of production quantity in a cycle and using the differential equations, the optimal production scheduling policies are derived. The sensitivity of the model with respect to the parameters and cost is also studied. This model is much useful for analysing the production schedules of the seasonal products. It is observed that the decay distribution has an influence on the production schedule.

Keywords: production cycle; Weibull decay; quantity dependent demand; production scheduling; inventory modelling; deteriorating items; manufacturing industry; seasonal products.

DOI: 10.1504/IJOR.2011.040327

International Journal of Operational Research, 2011 Vol.11 No.1, pp.31 - 53

Published online: 14 Feb 2015 *

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