Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model

Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model

Due to heavy transportation for single-setup multidelivery (SSMD) policy in supply chain management, this model assumes carbon emission cost to obtain a realistic behavior for world environment. The transportation for buyer and vendor is considered along with setup cost reduction by using an investm...

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Main Authors: Biswajit Sarkar, Sharmila Saren, Debjani Sinha, Sun Hur
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/469486
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spelling doaj-c20897e1fa06485985d02df98442a74f2020-11-25T01:05:25ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/469486469486Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain ModelBiswajit Sarkar0Sharmila Saren1Debjani Sinha2Sun Hur3Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 426 791, Republic of KoreaDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721 102, IndiaDepartment of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721 102, IndiaDepartment of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 426 791, Republic of KoreaDue to heavy transportation for single-setup multidelivery (SSMD) policy in supply chain management, this model assumes carbon emission cost to obtain a realistic behavior for world environment. The transportation for buyer and vendor is considered along with setup cost reduction by using an investment function. It is assumed that the shipment lot size of each delivery is unequal and variable. The buyer inspects all received products and returns defective items to vendor for reworking process. Because of this policy, end customers will only obtain nondefective items. The analytical optimization is considered to obtain the optimum solution of the model. The main goal of this paper is to reduce the total cost by considering carbon emission during the transportation. A numerical example, graphical representation, and sensitivity analysis are given to illustrate the model.http://dx.doi.org/10.1155/2015/469486
collection DOAJ
language English
format Article
sources DOAJ
author Biswajit Sarkar
Sharmila Saren
Debjani Sinha
Sun Hur
spellingShingle Biswajit Sarkar
Sharmila Saren
Debjani Sinha
Sun Hur
Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model
Mathematical Problems in Engineering
author_facet Biswajit Sarkar
Sharmila Saren
Debjani Sinha
Sun Hur
author_sort Biswajit Sarkar
title Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model
title_short Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model
title_full Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model
title_fullStr Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model
title_full_unstemmed Effect of Unequal Lot Sizes, Variable Setup Cost, and Carbon Emission Cost in a Supply Chain Model
title_sort effect of unequal lot sizes, variable setup cost, and carbon emission cost in a supply chain model
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description Due to heavy transportation for single-setup multidelivery (SSMD) policy in supply chain management, this model assumes carbon emission cost to obtain a realistic behavior for world environment. The transportation for buyer and vendor is considered along with setup cost reduction by using an investment function. It is assumed that the shipment lot size of each delivery is unequal and variable. The buyer inspects all received products and returns defective items to vendor for reworking process. Because of this policy, end customers will only obtain nondefective items. The analytical optimization is considered to obtain the optimum solution of the model. The main goal of this paper is to reduce the total cost by considering carbon emission during the transportation. A numerical example, graphical representation, and sensitivity analysis are given to illustrate the model.
url http://dx.doi.org/10.1155/2015/469486
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AT sharmilasaren effectofunequallotsizesvariablesetupcostandcarbonemissioncostinasupplychainmodel
AT debjanisinha effectofunequallotsizesvariablesetupcostandcarbonemissioncostinasupplychainmodel
AT sunhur effectofunequallotsizesvariablesetupcostandcarbonemissioncostinasupplychainmodel
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