Multi-objective bi-level supply chain network order allocation problem under fuzziness

In this paper we addressed supply chain network (SCN) as bi-level programming problem in which the primary objective is to determine optimal order allocation of products where the customer’s demands and supply for the products are fuzzy. In the proposed SCN model, we suppose that the first level (le...

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Vydané v:	Opsearch Ročník 55; číslo 3-4; s. 721 - 748
Hlavní autori:	Gupta, Srikant, Ali, Irfan, Ahmed, Aquil
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New Delhi Springer India 01.11.2018 Springer Nature B.V
Predmet:	Application Article Business and Management Goal programming Management Mathematical models Mathematics Multiple objective analysis Operations research Operations Research/Decision Theory Supply chains Warehouses Supply chain network Fuzzy goal programming Multi-objective optimization Bi-level programming problem cut approach Trapezoidal fuzzy number
ISSN:	0030-3887, 0975-0320
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Abstract	In this paper we addressed supply chain network (SCN) as bi-level programming problem in which the primary objective is to determine optimal order allocation of products where the customer’s demands and supply for the products are fuzzy. In the proposed SCN model, we suppose that the first level (leader) and second level (follower) operate two separate groups of SCN. The leader, who moves first, determines quantities shipped to retailers, and then, the follower decides his quantities rationally. The leader’s objective is to minimize the total transportation costs, and similarly, the follower’s objective is to minimize the total delivery time of the SCN and at the same time balancing the optimal order allocation from each source, plant, retailer and warehouse respectively. The fuzzy goal programming approach has been used to achieve the highest degree of the membership goals by minimizing the deviational variables so that most satisfactory or the preferred solution for both the levels to be obtained. A numerical example is given to demonstrate the proposed methodology.
AbstractList	In this paper we addressed supply chain network (SCN) as bi-level programming problem in which the primary objective is to determine optimal order allocation of products where the customer’s demands and supply for the products are fuzzy. In the proposed SCN model, we suppose that the first level (leader) and second level (follower) operate two separate groups of SCN. The leader, who moves first, determines quantities shipped to retailers, and then, the follower decides his quantities rationally. The leader’s objective is to minimize the total transportation costs, and similarly, the follower’s objective is to minimize the total delivery time of the SCN and at the same time balancing the optimal order allocation from each source, plant, retailer and warehouse respectively. The fuzzy goal programming approach has been used to achieve the highest degree of the membership goals by minimizing the deviational variables so that most satisfactory or the preferred solution for both the levels to be obtained. A numerical example is given to demonstrate the proposed methodology.
Author	Gupta, Srikant Ahmed, Aquil Ali, Irfan
Author_xml	– sequence: 1 givenname: Srikant orcidid: 0000-0002-4158-2866 surname: Gupta fullname: Gupta, Srikant email: operation.srikant@hotmail.com organization: Department of Statistics and Operations Research, Aligarh Muslim University – sequence: 2 givenname: Irfan surname: Ali fullname: Ali, Irfan organization: Department of Statistics and Operations Research, Aligarh Muslim University – sequence: 3 givenname: Aquil surname: Ahmed fullname: Ahmed, Aquil organization: Department of Statistics and Operations Research, Aligarh Muslim University
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CitedBy_id	crossref_primary_10_1080_00207543_2020_1751338 crossref_primary_10_3390_a12070143 crossref_primary_10_1016_j_cie_2022_108225 crossref_primary_10_3390_math12142228 crossref_primary_10_1016_j_cie_2024_110373 crossref_primary_10_1016_j_cie_2022_108928 crossref_primary_10_1007_s10479_022_04795_0 crossref_primary_10_1155_2019_8218709 crossref_primary_10_1108_K_08_2020_0495 crossref_primary_10_1007_s12597_024_00800_1 crossref_primary_10_1007_s13198_023_02234_2 crossref_primary_10_1016_j_cor_2023_106372 crossref_primary_10_1016_j_jksus_2022_101933 crossref_primary_10_1007_s40747_021_00326_9 crossref_primary_10_1108_MD_10_2020_1335
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Soft Comput. doi: 10.1016/j.asoc.2017.08.018
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Snippet	In this paper we addressed supply chain network (SCN) as bi-level programming problem in which the primary objective is to determine optimal order allocation...
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SubjectTerms	Application Article Business and Management Goal programming Management Mathematical models Mathematics Multiple objective analysis Operations research Operations Research/Decision Theory Supply chains Warehouses
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Title	Multi-objective bi-level supply chain network order allocation problem under fuzziness
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