Title: An economic production lot-size (EPLS) model with rework and flexibility under allowable shortages

Authors: Narayan Singh; Bindu Vaish; S.R. Singh

Addresses: Department of Mathematics, D.N. (P.G.) College, C.C.S. University, Meerut, U.P. – 250001, India. ' Department of Mathematics, D.N. (P.G.) College, C.C.S. University, Meerut, U.P. – 250001, India. ' Department of Mathematics, D.N. (P.G.) College, C.C.S. University, Meerut, U.P. – 250001, India

Abstract: This paper develops a model to determine the optimal reliability and production rate that achieves the biggest total integrated profit for an imperfect production process under allowable shortage. This paper extends the paper of Sana (2010). Here, we consider two type of production process in a cycle time. One is |in-control| state at the starting of the production which provides conforming quality items and second one is |out-control| state after certain time due to higher production rate and production run time. In this study, we also consider that selling price of the units depends upon the unit production cost and screening cost of the items. The total cost function is illustrated by numerical examples and also its sensitivity analysis is carried out.

Keywords: volume flexibility; imperfect production processes; in-control state; out-of-control state; economic production lot size; EPLS; rework; flexibility; allowable shortages; optimisation; reliability; production rate; total cost function.

DOI: 10.1504/IJPM.2012.044156

International Journal of Procurement Management, 2012 Vol.5 No.1, pp.104 - 122

Published online: 16 Aug 2014 *

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