Inventory and pricing decisions for an imperfect production system with quality inspection, rework, and carbon-emissions

Abstract

The present paper considers the effect of imperfect quality items on a production system which further undergoes inspection and rework. The demand of the product is price reliant. Two situations to handle the imperfect items are analyzed: selling them at a reduced price and reworking them. The demand is assumed to meet with perfect products in either case. Further, the study incorporates the carbon-emissions borne during production of goods and their holding in the inventory system. The model aims at maximizing the profit function by jointly optimizing mark-up price and production quantity. To demonstrate model characteristics, numerical and sensitivity analysis are also presented.

Keywords

• imperfect-production
• rework
• price-sensitive demand
• quality-inspection
• carbon-emissions