### Abstract

In this paper, a fuzzy facility location model with Value at Risk (VaR) is proposed, which is a two-stage fuzzy zero-one integer programming. Since the fuzzy parameters of the location problem are continuous fuzzy variables with an infinite support, the computation of VaR is inherently an infinite-dimensional optimization problem, which can not be solved analytically. In order to solve the model, first of all, the objective function VaR is approximated through discretization method of fuzzy variables. Therefore, the original problem is converted to the task of a finite-dimensional optimization. Then, a hybrid heuristic algorithm integrating binary particle swarm optimization (BPSO), simplex algorithm and the approximation approach is designed to solve the location model. Finally, a numerical example is provided.

Original language | English |
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Title of host publication | Proceedings - 4th International Conference on Genetic and Evolutionary Computing, ICGEC 2010 |

Pages | 43-46 |

Number of pages | 4 |

DOIs | |

Publication status | Published - 2010 |

Event | 4th International Conference on Genetic and Evolutionary Computing, ICGEC 2010 - Shenzhen Duration: 2010 Dec 13 → 2010 Dec 15 |

### Other

Other | 4th International Conference on Genetic and Evolutionary Computing, ICGEC 2010 |
---|---|

City | Shenzhen |

Period | 10/12/13 → 10/12/15 |

### Fingerprint

### Keywords

- Binary particle swarm optimization
- Facility location
- Fuzzy variable
- Two-stage fuzzy programming
- Value at Risk

### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Theoretical Computer Science

### Cite this

*Proceedings - 4th International Conference on Genetic and Evolutionary Computing, ICGEC 2010*(pp. 43-46). [5715366] https://doi.org/10.1109/ICGEC.2010.19

**A hybrid BPSO approach for fuzzy facility location problems with VaR.** / Wang, Shuming; Watada, Junzo.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - 4th International Conference on Genetic and Evolutionary Computing, ICGEC 2010.*, 5715366, pp. 43-46, 4th International Conference on Genetic and Evolutionary Computing, ICGEC 2010, Shenzhen, 10/12/13. https://doi.org/10.1109/ICGEC.2010.19

}

TY - GEN

T1 - A hybrid BPSO approach for fuzzy facility location problems with VaR

AU - Wang, Shuming

AU - Watada, Junzo

PY - 2010

Y1 - 2010

N2 - In this paper, a fuzzy facility location model with Value at Risk (VaR) is proposed, which is a two-stage fuzzy zero-one integer programming. Since the fuzzy parameters of the location problem are continuous fuzzy variables with an infinite support, the computation of VaR is inherently an infinite-dimensional optimization problem, which can not be solved analytically. In order to solve the model, first of all, the objective function VaR is approximated through discretization method of fuzzy variables. Therefore, the original problem is converted to the task of a finite-dimensional optimization. Then, a hybrid heuristic algorithm integrating binary particle swarm optimization (BPSO), simplex algorithm and the approximation approach is designed to solve the location model. Finally, a numerical example is provided.

AB - In this paper, a fuzzy facility location model with Value at Risk (VaR) is proposed, which is a two-stage fuzzy zero-one integer programming. Since the fuzzy parameters of the location problem are continuous fuzzy variables with an infinite support, the computation of VaR is inherently an infinite-dimensional optimization problem, which can not be solved analytically. In order to solve the model, first of all, the objective function VaR is approximated through discretization method of fuzzy variables. Therefore, the original problem is converted to the task of a finite-dimensional optimization. Then, a hybrid heuristic algorithm integrating binary particle swarm optimization (BPSO), simplex algorithm and the approximation approach is designed to solve the location model. Finally, a numerical example is provided.

KW - Binary particle swarm optimization

KW - Facility location

KW - Fuzzy variable

KW - Two-stage fuzzy programming

KW - Value at Risk

UR - http://www.scopus.com/inward/record.url?scp=79952566482&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952566482&partnerID=8YFLogxK

U2 - 10.1109/ICGEC.2010.19

DO - 10.1109/ICGEC.2010.19

M3 - Conference contribution

SN - 9780769542812

SP - 43

EP - 46

BT - Proceedings - 4th International Conference on Genetic and Evolutionary Computing, ICGEC 2010

ER -