Solving the simple plant location problem by genetic algorithm
RAIRO - Operations Research - Recherche Opérationnelle, Volume 35 (2001) no. 1, p. 127-142

The simple plant location problem (SPLP) is considered and a genetic algorithm is proposed to solve this problem. By using the developed algorithm it is possible to solve SPLP with more than 1000 facility sites and customers. Computational results are presented and compared to dual based algorithms.

Classification:  90B80,  90C27,  90C59
Keywords: simple plant location problem, genetic algorithms, combinatorial optimization
@article{RO_2001__35_1_127_0,
     author = {Kratica, Jozef and To\v sic, Du\v san and Filipovi\'c, Vladimir and Ljubi\'c, Ivana},
     title = {Solving the simple plant location problem by genetic algorithm},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {1},
     year = {2001},
     pages = {127-142},
     zbl = {0995.90055},
     mrnumber = {1841818},
     language = {en},
     url = {http://www.numdam.org/item/RO_2001__35_1_127_0}
}
Kratica, Jozef; Tošic, Dušan; Filipović, Vladimir; Ljubić, Ivana. Solving the simple plant location problem by genetic algorithm. RAIRO - Operations Research - Recherche Opérationnelle, Volume 35 (2001) no. 1, pp. 127-142. http://www.numdam.org/item/RO_2001__35_1_127_0/

[1] C.H. Aikens, Facility Location Models for Distribution Planning. European J. Oper. Res. 22 (1985) 263-279. | MR 814587 | Zbl 0583.90022

[2] M.L. Alves and M.T. Almeida, Simulated Annealing Algorithm for the Simple Plant Location Problem: A Computational Study. Rev. Invest. 12 (1992).

[3] A.A. Aqeev, V.S. Beresnev, Polynomially Solvable Cases of the Simple Plant Location Problem, in Proc. of the First Integer Programming and Combinatorial Optimization Conference, edited by R. Kannan and W.R. Pulleyblank. University of Waterloo Press, ON, Canada (1990) 1-6.

[4] D. Beasley, D.R. Bull and R.R. Martin, An Overview of Genetic Algorithms. Univ. Computing 15 (1993) 170-181.

[5] J.E. Beasley, Obtaining Test Problems via Internet. J. Global Optim. 8 (1996) 429-433, http://mscmga.ms.ic.ac.uk/info.html | MR 1554463 | Zbl 0848.90126

[6] J.E. Beasley, Lagrangean Heuristic for Location Problems. European J. Oper. Res. 65 (1993) 383-399. | Zbl 0768.90045

[7] A.R. Conn and G. Cornuejols, A Projection Method for the Uncapacitated Facility Location Problem. Math. Programming 46 (1990) 273-298. | MR 1054139 | Zbl 0705.90050

[8] G. Cornuejols, G.L. Nemhauser and L.A. Wolsey, The Uncapacitated Facility Location Problem, in Discrete Location Theory, edited by P.B. Mirchandani and R.L. Francis. John Wiley & Sons (1990), Chapter 3, pp. 120-171. | MR 1066259 | Zbl 0727.90043

[9] P.M. Dearing, Location Problems. Oper. Res. Lett. 4 (1985) 95-98. | MR 821169 | Zbl 0572.90022

[10] K.E. De Jong and W.M. Spears, Using Genetic Algorithms to Solve NP-Complete Problems, in Proc. of the Third International Conference on Genetic Algorithms. Morgan Kaufmann, San Mateo, CA (1989) 124-132.

[11] C. De Simone and C. Mannino, Easy Instances of the Plant Location Problem, Technical Report R-427. Gennaio, University of Roma, Italy (1996).

[12] R. Dorne and J.K. Hao, A New Genetic Local Search Algorithm for Graph Coloring, in Proc. of the 5th Conference on Parallel Problem Solving from Nature - PPSN V. Springer-Verlag, Lecture Notes in Comput. Sci. 1498 (1998) 745-754.

[13] D. Erlenkotter, A Dual-Based Procedure for Uncapacitated Facility Location. Oper. Res. 26 (1978) 992-1009. | MR 503845 | Zbl 0422.90053

[14] R.L. Francis, L.F. Mcginnis and J.A. White, Locational Analysis. European J. Oper. Res. 12 (1983) 220-252. | MR 703260 | Zbl 0502.90019

[15] B. Freisleben and P. Merz, New Genetic Local Search Operators for the Traveling Salesman Problem, in Proc. of the 4th Conference on Parallel Problem Solving from Nature - PPSN IV. Springer-Verlag Lecture Notes in Comput. Sci. 1141 (1996) 890-899.

[16] L.L. Gao, E. Robinson and Jr. Powell, Uncapacitated Facility Location: General Solution Procedure and Computational Experience. European J. Oper. Res. 76 (1994) 410-427. | Zbl 0810.90085

[17] V.P. Grishukhin, On Polynomial Solvability Conditions for the Simplest Plant Location Problem, in Selected topics in discrete mathematics, edited by A.K. Kelmans and S. Ivanov. American Mathematical Society, Providence, RI (1994) 37-46. | MR 1269127 | Zbl 0806.90073

[18] M. Guignard, A Lagrangean Dual Ascent Algorithm for Simple Plant Location Problems. European J. Oper. Res. 35 (1988) 193-200. | MR 939066 | Zbl 0696.90025

[19] K. Holmberg, Experiments with Primal-Dual Decomposition and Subgradient Methods for the Uncapacitated Facility Location Problem, Research Report LiTH-MAT/OPT-WP-1995-08, Optimization. Department of Mathematics, Linkoping Institute of Technology, Sweden (1995). | MR 1891081

[20] S. Khuri, T. Back and J. Heitkotter, An Evolutionary Approach to Combinatorial Optimization Problems, in Proc. of CSC'94. Phoenix, Arizona (1994).

[21] M. Koerkel, On the Exact Solution of Large-Scale Simple Plant Location Problems. European J. Oper. Res. 39 (1989) 157-173. | MR 995736 | Zbl 0673.90032

[22] J. Krarup and P.M. Pruzan, The Simple Plant Location Problem: Survey and Synthesis. European J. Oper. Res. 12 (1983) 36-81. | MR 691416 | Zbl 0506.90018

[23] J. Kratica, Improving Performances of the Genetic Algorithm by Caching. Comput. Artificial Intelligence 18 (1999) 271-283. | Zbl 0986.90016

[24] P. Merz and B. Freisleben, A Genetic Local Search Approach to the Quadratic Assignment Problem, in Proc. of the Seventh International Conference on Genetic Algorithms. Morgan Kaufmann (1997) 465-472.

[25] P. Merz and B. Freisleben, Genetic Local Search for the TSP: New Results, in Proc. of the 1997 IEEE International Conference on Evolutionary Computation. IEEE Press (1997) 159-164.

[26] C. Ryu and M. Guignard, An Exact Algorithm for the Simple Plant Location Problem with an Aggregate Capacity Constraint, TIMS/ORSA Meeting. Orlando, FL (1992) 92-04-09.

[27] H.P. Simao and J.M. Thizy, A Dual Simplex Algorithm for the Canonical Representation of the Uncapacitated Facility Location Problem. Oper. Res. Lett. 8 (1989) 279-286. | MR 1022844

[28] G. Syswerda, Uniform Crossover in Genetic Algorithms, in Proc. of the Third International Conference on Genetic Algorithms. Morgan Kaufmann, San Mateo, CA (1989) 2-9.

[29] D. Whitley, The GENITOR Algorithm and Selection Pressure: Why Rank-Based Allocation of Reproductive Trials is Best, in Proc. of the Third International Conference on Genetic Algorithms. Morgan Kaufmann, San Mateo, CA (1989) 116-123.