Title: A production model for ameliorating items with quality consideration

Authors: Himani Dem; S.R. Singh

Addresses: Department of Mathematics and Statistics, Banasthali University, P.O. Banasthali Vidyapith, Rajasthan – 304022, India ' Department of Mathematics, Devanagri College, Chaudhary Charan Singh University, Meerut – 250001, India

Abstract: Most of the inventory models assume perfect production, but it is not necessary that all the units produced in manufacturing organisation are of excellent quality. This can be a mix of perfect and imperfect quality. This type of production is in the category of imperfect production process. In this article, we create a production model for ameliorating inventory system with time-varying demand. Here, the term 'amelioration' refers to improvement in the goods which causes value increase or benefit from the amount used at the time. The production cost per unit is considered as a function of the production rate. Mathematical expression for the expected profit is calculated and a numerical example is given to illustrate the model. Also, the effects of parameters involved in the modelling are examined with the help of sensitivity analysis.

Keywords: inventory modelling; perfect quality items; imperfect quality items; variable production cost; amelioration; time varying demand; manufacturing industry; quality improvement.

DOI: 10.1504/IJOR.2013.053622

International Journal of Operational Research, 2013 Vol.17 No.2, pp.183 - 198

Published online: 29 Jul 2014 *

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