A study on three different dimensional facility location problems

Biswajit Sarkar, Arunava Majumder

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


In supply chain strategy, designing a network is one of the most important part. This model deals with various dimensional facility location models. Initially, this paper begins with two echelon facility location model of dimension two. Then, it is extended to three dimensional model by adding commodity type and then, different types of transportation modes are added to make it four dimensional model. Delivery lead time and outside suppliers are assumed to meet the retailer's demand too. We construct some lemmas to compare the optimal solution for each of the problem. We also study the procedure of reducing the total cost of the supply chain network by applying a small change in constraint set. This is described by another lemma. Some numerical examples are allowed to illustrate the models.

Original languageEnglish
Pages (from-to)879-887
Number of pages9
JournalEconomic Modelling
Issue number1
Publication statusPublished - 2013 Jan

Bibliographical note

Funding Information:
The authors would like to express their gratitude to the referees for their encouragement and constructive comments in revising the paper. The authors are grateful to the University Grants Commission (Minor Research Project, File No. 41-1433/2012(SR) ), India for their financial assistance and Vidyasagar University, India for their infrastructural assistance to carry out the research. The 1st author want to express his heartfelt gratitude to his parents, wife and son. This research comes to reality with their inspirations. The 2nd author wishes to express his gratitude to his parents and also wants to acknowledge his research to his friend Miss Aparna Das and his elder sister Priyanka Nath.

All Science Journal Classification (ASJC) codes

  • Economics and Econometrics


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