Imperfect Quality Item Inventory Models Considering Carbon Emissions

Wee, Hui‐Ming; Daryanto, Yosef

doi:10.1007/978-981-13-9698-4_8

Cited by 16 publications

(18 citation statements)

References 22 publications

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“…However, finding the closed-form solution of (p, T b ) from Equations (19) and 20is not easy. Instead, the retailer's problem can be solved using the following search procedure: For any given p, it should be proven that the optimal value of T b not only exists but is also unique.…”

Section: Stackelberg Equilibriummentioning

confidence: 99%

“…It is obvious that d 2 TP CTb p, T * b /dp 2 < 0 because D (p) < 0 and D (p) ≤ 0. Consequently, TP CTb p, T * b is a concave function of p for a given T * b , and hence, a unique value of p exists, say p * , which maximizes TP CTb p, T * b where the solution for p * can be obtained using Equation (19).…”

Section: Stackelberg Equilibriummentioning

confidence: 99%

“…Solve Equations (19) and (20) to find the optimal values of p and T b (say p( ) and T b ( ), which are functions of ), and then substitute their values into Equation (18) to obtain TP CTv ( n, |p = p( ), T b = T b ( )).…”

Section: Stackelberg Equilibriummentioning

confidence: 99%

“…Step 7. Substitute (n * * , * * ) into Equations (19) and (20) and solve them to find the optimal equilibrium values of p * * = p( * * ) and T * * b = T b ( * * ).…”

Section: Stepmentioning

confidence: 99%

“…Moreover, Shaw et al [18] discussed an integrated inventory model between a vendor and a buyer for deteriorating items with defective products and carbon emissions from every portion of the supply chain system. Wee and Daryanto [19] investigated a low-carbon two-echelon supply chain inventory model considering supply chain integration and imperfect quality items when shortages are allowed. Recently, Xu et al [20] analyzed the impacts of carbon emissions on an inventory system for deteriorating items where a general time-varying demand and shortages are considered.…”

Section: Inventory Model Introducing Carbon Emissions Managementmentioning

confidence: 99%

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A Multistage Sustainable Production–Inventory Model with Carbon Emission Reduction and Price-Dependent Demand under Stackelberg Game

Lee

et al. 2020

Applied Sciences

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This paper investigated a multistage sustainable production–inventory model for deteriorating items (i.e., raw materials and finished goods) with price-dependent demand and collaborative carbon reduction technology investment under carbon tax regulation. The model was developed by first defining the total profit of the supply chain members under carbon tax regulation and, second, considering a manufacturer (leader)–retailer (follower) Stackelberg game. The optimal equilibrium solutions that maximize the manufacturer’s and retailer’s total profits were determined through the method analysis. An algorithm complemented the model to determine the optimal equilibrium solutions, which were then treated with sensitivity analyses for the major parameters. Based on the numerical analysis, (a) carbon tax policies help reduce carbon emissions for both the manufacturer and retailer; (b) most carbon emissions from supply chain operations negatively impact the total profits of both members; (c) the retailer may increase the optimal equilibrium selling price to respond to an increase in carbon emissions from supply chain operations or carbon tax; and (d) autonomous consumption positively affects both members’ optimal equilibrium policies and total profits, whereas induced consumption does the opposite. These findings are very managerial and instructive for companies seeking profits and fulfilling environmental responsibility and governments.

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Section: Stackelberg Equilibriummentioning

confidence: 99%

Section: Stackelberg Equilibriummentioning

confidence: 99%

Section: Stackelberg Equilibriummentioning

confidence: 99%

“…Step 7. Substitute (n * * , * * ) into Equations (19) and (20) and solve them to find the optimal equilibrium values of p * * = p( * * ) and T * * b = T b ( * * ).…”

Section: Stepmentioning

confidence: 99%

Section: Inventory Model Introducing Carbon Emissions Managementmentioning

confidence: 99%

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A Multistage Sustainable Production–Inventory Model with Carbon Emission Reduction and Price-Dependent Demand under Stackelberg Game

Lee

et al. 2020

Applied Sciences

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Impact of emission and service constraint for an imperfect production system under two level Hamiltonian

Das

Ali

Shaikh

et al. 2023

Optim Control Appl Methods

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Considering the impact of emission on environment, over the last few decades, reduction of emission during production process (or emission free production process) appears to be one of the most growing preferences for every manufacturing firm. Again, manufacturing companies of different products are bounded to offer various facilities to their consumers in order to survive in the current highly competitive market situation. Primarily considering these two factors taken in to account, this study addresses an imperfect manufacturing inventory model in which customers' demand increases linearly w. r. to emission reduction level, service level from the manufacturer and decreases nonlinearly w. r. to price of the items. The analytical expressions of production rates, emission levels and service levels are derived by solving a number of optimum control problems using Hamiltonian maximum principle with a values for the business period and selling price. The basic goal is to maximize the average profit of the system. In addition, a number of numerical examples are considered to elaborate four distinct instances involved in the proposed model and these are solved numerically using teaching learning based optimization algorithm. Finally, sensitivity experiment is performed to investigate the influence of various system factors on the best‐found policies. The sensitivity analysis indicates that service rate provided by the manufacturer and selling price of the items impose a huge impact on the average profit of the system. Further, the carbon reduction affects the revenue of the system less significantly.

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Inventory Management Under Carbon Emission Policies: A Systematic Literature Review

Sepehri

2021

Inventory Optimization

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Imperfect Quality Item Inventory Models Considering Carbon Emissions

Cited by 16 publications

References 22 publications

A Multistage Sustainable Production–Inventory Model with Carbon Emission Reduction and Price-Dependent Demand under Stackelberg Game

A Multistage Sustainable Production–Inventory Model with Carbon Emission Reduction and Price-Dependent Demand under Stackelberg Game

Impact of emission and service constraint for an imperfect production system under two level Hamiltonian

Inventory Management Under Carbon Emission Policies: A Systematic Literature Review

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