# Integrated vendor-buyer supply chain model with vendor's setup cost reduction

Biswajit Sarkar, Arunava Majumder

Research output: Contribution to journalArticle

58 Citations (Scopus)

### Abstract

This paper deals with an integrated vendor-buyer supply chain model. Two models are constructed based on the probability distribution of the lead time demand. The lead time demand follows a normal distribution in the first model. In the second model, we consider the distribution free approach for the lead time demand. For the second model, only mean and standard deviation are known. The aim of our model is to reduce the total system cost by considering the setup cost reduction of the vendor. Finally, some numerical examples are presented to illustrate the models.

Original language English 362-371 10 Applied Mathematics and Computation 224 https://doi.org/10.1016/j.amc.2013.08.072 Published - 2013 Oct 4

### Fingerprint

Setup Cost
Cost reduction
Supply Chain
Supply chains
Model
Mean deviation
Distribution-free
Normal distribution
Standard deviation
Probability distributions
Gaussian distribution
Probability Distribution
Numerical Examples
Costs
Demand

### All Science Journal Classification (ASJC) codes

• Computational Mathematics
• Applied Mathematics

### Cite this

@article{88dd75b089fc42b4b53159ddac2306e7,
title = "Integrated vendor-buyer supply chain model with vendor's setup cost reduction",
abstract = "This paper deals with an integrated vendor-buyer supply chain model. Two models are constructed based on the probability distribution of the lead time demand. The lead time demand follows a normal distribution in the first model. In the second model, we consider the distribution free approach for the lead time demand. For the second model, only mean and standard deviation are known. The aim of our model is to reduce the total system cost by considering the setup cost reduction of the vendor. Finally, some numerical examples are presented to illustrate the models.",
author = "Biswajit Sarkar and Arunava Majumder",
year = "2013",
month = "10",
day = "4",
doi = "10.1016/j.amc.2013.08.072",
language = "English",
volume = "224",
pages = "362--371",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier Inc.",

}

In: Applied Mathematics and Computation, Vol. 224, 04.10.2013, p. 362-371.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Integrated vendor-buyer supply chain model with vendor's setup cost reduction

AU - Sarkar, Biswajit

AU - Majumder, Arunava

PY - 2013/10/4

Y1 - 2013/10/4

N2 - This paper deals with an integrated vendor-buyer supply chain model. Two models are constructed based on the probability distribution of the lead time demand. The lead time demand follows a normal distribution in the first model. In the second model, we consider the distribution free approach for the lead time demand. For the second model, only mean and standard deviation are known. The aim of our model is to reduce the total system cost by considering the setup cost reduction of the vendor. Finally, some numerical examples are presented to illustrate the models.

AB - This paper deals with an integrated vendor-buyer supply chain model. Two models are constructed based on the probability distribution of the lead time demand. The lead time demand follows a normal distribution in the first model. In the second model, we consider the distribution free approach for the lead time demand. For the second model, only mean and standard deviation are known. The aim of our model is to reduce the total system cost by considering the setup cost reduction of the vendor. Finally, some numerical examples are presented to illustrate the models.

UR - http://www.scopus.com/inward/record.url?scp=84884777878&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884777878&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2013.08.072

DO - 10.1016/j.amc.2013.08.072

M3 - Article

AN - SCOPUS:84884777878

VL - 224

SP - 362

EP - 371

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -