Joint Pricing and Inventory Model for Deteriorating Items with Maximum Lifetime and Controllable Carbon Emissions under Permissible Delay in Payments
Open Access
- 24 February 2021
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 9 (5), 470
- https://doi.org/10.3390/math9050470
Abstract
Reducing carbon emissions plays a significant role in developing sustainable inventory systems. In a seller-buyer relationship, an allowable delay in payment is considered for the buyer to manage the stock and simulate the demand. Deteriorating items that usually have specific maximum lifetimes have become a challenge for most firms. Contrary to the importance of these issues, very little research has studied the impact of carbon emissions on deteriorating inventory systems. This paper provides a price-dependent demand for perishable items when carbon cap-and-trade regulation fills the mentioned gap. This model provides a carbon reduction investment scheme and illustrates this investment’s effect on the inventory system. This paper determines the optimal replenishment cycle and selling price, in which: (a) perishable items have specific maximum lifetimes, (b) a specific period of delay in payment is allowed for the buyer to accumulate revenue, (c) carbon is emitted due to ordering and storage operations and carbon cap and trade is regulated along with allowable carbon reduction investment. After developing the model, optimal values are obtained from necessary and sufficient conditions of optimality. Numerical experiments are proposed to validate the model. By developing an algorithm, the optimal values of replenishment cycle, selling price, and carbon reduction technology investment are obtained, and the impact of carbon emissions and efforts to control emissions are outlined. Finally, some managerial applications are mentioned, and future research directions are exposed.Keywords
This publication has 46 references indexed in Scilit:
- Environmental effect for a complex green supply-chain management to control waste: A sustainable approachJournal of Cleaner Production, 2020
- An inventory model for non-instantaneous deteriorating items with credit period and carbon emission sensitive demand: a signomial geometric programming approachInternational Journal of Management Science and Engineering Management, 2018
- Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chainInternational Journal of Production Economics, 2018
- Emission reduction decision and coordination of a make-to-order supply chain with two products under cap-and-trade regulationComputers & Industrial Engineering, 2018
- Investment Strategy of Emission-Reduction Technology in a Supply ChainSustainability, 2015
- Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financingEuropean Journal of Operational Research, 2014
- Joint decisions on inventory replenishment and emission reduction investment under different emission regulationsInternational Journal of Production Research, 2013
- Environmental Taxes and the Choice of Green TechnologyProduction and Operations Management, 2013
- Review of inventory systems with deterioration since 2001European Journal of Operational Research, 2012
- Managing carbon footprints in inventory managementInternational Journal of Production Economics, 2011