### 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 |
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Pages (from-to) | 362-371 |

Number of pages | 10 |

Journal | Applied Mathematics and Computation |

Volume | 224 |

DOIs | |

Publication status | Published - 2013 Oct 4 |

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### All Science Journal Classification (ASJC) codes

- Computational Mathematics
- Applied Mathematics

### Cite this

*Applied Mathematics and Computation*,

*224*, 362-371. https://doi.org/10.1016/j.amc.2013.08.072

}

*Applied Mathematics and Computation*, vol. 224, pp. 362-371. https://doi.org/10.1016/j.amc.2013.08.072

**Integrated vendor-buyer supply chain model with vendor's setup cost reduction.** / Sarkar, Biswajit; Majumder, Arunava.

Research output: Contribution to journal › Article

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 -