Title: An economic production quantity model with imperfection in process, unit transportation cost and backordering

Authors: Mubashir Hayat

Addresses: Department of Industrial Engineering, University of Engineering and Technology Peshawar, Pakistan

Abstract: Determining batch quantity for manufacturer in an imperfect production setup is a key issue during the last decade. Several mathematical models have been developed for this purpose but these models are lacking of the consideration of unit transportation cost in the system-wide cost. It is quite clear, that nowadays the transportation accounts for a huge portion of the overall cost of a product. Therefore, there is a need to involve transportation cost into the model for better decision-making process. In this way, the paper incorporates unit transportation cost in an imperfect environment and allowing backorders as well as random defects. Three cases have been modelled by assuming the defective rate following uniform, triangular and beta distribution. Sensitivity analysis has been carried out to point out the important specification of all the three cases of the model.

Keywords: EPQ model; unit transportation cost; imperfection in process; backordering.

DOI: 10.1504/IJOR.2021.114300

International Journal of Operational Research, 2021 Vol.40 No.3, pp.279 - 296

Received: 22 Nov 2017
Accepted: 09 Jun 2018
Published online: 16 Apr 2021 *

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