A Risk Management Model for the Capacitated Continuous Location Allocation Problem
-
2486
Downloads
-
3390
Views
Authors
M. S. Jabalameli
- Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran.
S. J. Hosseininezhad
- Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran.
S. G. Jalali Naeini
Abstract
This paper proposes a risk management model for the facility location problems in fuzzy
environment. We investigate the capacitated continuous location allocation problem in continuous
space as a risk model. Two risk types are considered in the proposed model: customer risk and
financial risk. The risks are caused because of unsatisfied demands and budget constraint, respectively.
The introduced model is extension of the continuous location allocation model by adding fixed cost
and customer risk concept. A facility belongs to a zone when is located in a predetermined radius from
center of the zone. Because of uncertain budget and demand, the model is considered in fuzzy
environment. Finally, a risk management model is proposed with presentation of degree satisfaction
concept of each risk as objective function. Also, a numerical example is expressed to illustrate the
proposed model.
Share and Cite
ISRP Style
M. S. Jabalameli, S. J. Hosseininezhad, S. G. Jalali Naeini, A Risk Management Model for the Capacitated Continuous Location Allocation Problem , Journal of Mathematics and Computer Science, 6 (2013), no. 1, 1--12
AMA Style
Jabalameli M. S., Hosseininezhad S. J., Naeini S. G. Jalali, A Risk Management Model for the Capacitated Continuous Location Allocation Problem . J Math Comput SCI-JM. (2013); 6(1):1--12
Chicago/Turabian Style
Jabalameli, M. S., Hosseininezhad , S. J., Naeini, S. G. Jalali. "A Risk Management Model for the Capacitated Continuous Location Allocation Problem ." Journal of Mathematics and Computer Science, 6, no. 1 (2013): 1--12
Keywords
- capacitated continuous location allocation problem
- risk management
- financial risk
- customer risk
- satisfaction degree
- fuzzy set theory.
MSC
References
-
[1]
A. Azaron, K. N. Brown, S. A. Tarim, M. Modarres, , Int. J. Production Economics, 116 (2008), 129
-
[2]
J. Berimberg, S. Salhi, , Annals of Operations Research, 136 (2008), 99
-
[3]
Z. Chen, H. Li, H. Ren, Q. Xu, J. Hong, , International Journal of Project Management, 29 (2011), 856
-
[4]
L. Cooper, , Operation Research, 11 (1963), 331
-
[5]
T. Cui, Y. Ouyang, Z.-J. M. Shen, , Operation Research, 58 (2010), 998
-
[6]
Z. Drezner, K. Klamroth, A. Schöbel, G. Wesolowsky, The Weber problem. In: Drezner Z, Hamacher HW (eds.) Facility location: applications and theory, Springer, Berlin (2001)
-
[7]
E. Dumaz, N. Aras, I. K. Altıne, , Computers & Operations Research, 36 (2009), 2139
-
[8]
G. Guillen, F. D. Mele, M. J. Bagajewicz, A. Espuna, L. Puigjaner, , Chemical Enginnering Science, 60 (2005), 1535
-
[9]
G. J. Hahn, H. Kuhn, , Int. J. Production Economics, doi:10.1016/j.ijpe.2011.04.002, (2012),
-
[10]
S. Hakimi , , Operation Research, 13 (1965), 462
-
[11]
K. Liu, Y. Zhou, Z. Zhang, , European Journal of Operational Research, 207 (2010), 218
-
[12]
H. O. Mete, Z. B. Zabinsky, , Hnt. J. Production Economics, 126 (2010), 76
-
[13]
S. Nickel, F. Saldanha-da-Gama, H.-P. Ziegler, , Omega, 40 (2012), 511
-
[14]
L. Ozsen, C. R. Coullard, M. S. Daskin, , Naval Research Logistics, 55 (2008), 295
-
[15]
P. Peng, L. V. Snyder, A. Lim, Z. Liu, , Transportation Research Part B, 45 (2011), 1190
-
[16]
S. Salhi, MDH Gamal, , Annals of Operations Research, 123 (2003), 203
-
[17]
L. V. Synder, M. S. Daskin, C.-P. Teo, , European Journal of Operational Research, 179 (2007), 1221
-
[18]
M. R. Wagner, J. Bhaduryb, S. Penga, , Computers & Operations Research, 16 (2009), 1002
-
[19]
F. Wang, T. Jia, X. Hu, , IEEE, (2010), DoI: 978-1-4244-7330-4/10
-
[20]
S. Wang, J. Watada, , Information Sciences, 192 (2012), 3
-
[21]
F. You, J. M. Wassick, I. E. Grossmann, , AIChE Journal, 55 (2009), 931
-
[22]
H. J. Zimmermann, Fuzzy set theory and its applications, Kluwer Academic, Boston (1996)