Multi-criteria decision analysis for efficient location-allocation problem combining DEA and goal programming
Fang, Lei1 ; Li, Hecheng2
1 Department of Management Science and Engineering, Business School, Nankai University, Tianjin 300071, P.R. China.
2 Department of Mathematics, Qinghai Normal University, Qinghai 810008, P.R. China.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 49 (2015) no. 4, pp. 753-772.

Facility location-allocation (FLA) decisions play a significant role in the performance of supply network in many practical applications, such as emergency service system, supply chain system, public service system, etc. In this paper, a multi-criteria model (including multi-attribute and multi-objective) for optimal and efficient facility location-allocation patterns was proposed. We first utilize multi attribute decision making (MADM) method–DEA to evaluate the relative efficiency of each potential location, and then combine the efficiency identified from DEA as a goal in a multi objective decision making (MODM) framework by using goal programming. A hypothetical example is presented to illustrate the effectiveness and the efficiency of the proposed model. Results demonstrate that the proposed multi-criteria model is an effective tool for generating a set of more realistic and flexible optimal solution in solving facility location- allocation problems by adjusting the goal priorities with respect to the importance of each objective and the aspiration level with respect to desired target values. The proposed model is also flexible and general enough to consider other specific location decisions such as emergency facilities, undesirable facilities and supply chain design by combing specific location modeling goal with the DEA model.

DOI : 10.1051/ro/2015003
Classification : 90C29
Mots-clés : Multi-criteria, data envelopment analysis, goal programming, location, allocation
Fang, Lei 1 ; Li, Hecheng 2

1 Department of Management Science and Engineering, Business School, Nankai University, Tianjin 300071, P.R. China.
2 Department of Mathematics, Qinghai Normal University, Qinghai 810008, P.R. China. 
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Fang, Lei; Li, Hecheng. Multi-criteria decision analysis for efficient location-allocation problem combining DEA and goal programming. RAIRO - Operations Research - Recherche Opérationnelle, Tome 49 (2015) no. 4, pp. 753-772. doi : 10.1051/ro/2015003. http://www.numdam.org/articles/10.1051/ro/2015003/

O.I. Alsalloum and G.K. Rand, Extensions to emergency vehicle location models. Comput. Oper. Res. 33 (2006) 2725–2743. | DOI | Zbl

A. Ancarani, C. Di Mauro and M.D. Giammanco, The impact of managerial and organizational aspects on hospital wards’ efficiency: Evidence from a case study. Eur. J. Oper. Res. 194 (2009) 280–293. | DOI | Zbl

C. Araz, H. Selim and I. Ozkarahan, A fuzzy multi-objective covering-based vehicle location model for emergency services. Comput. Oper. Res. 34 (2007) 705–726. | DOI | Zbl

A. Azadeh, S.F. Ghaderi and A. Maghsoudi, Location optimization of solar plants by an integrated hierarchical DEA PCA approach. Energy Policy 36 (2008) 3993–4004. | DOI

M. Badri, Combining the analytic hierarchy process and goal programming for global facility location-allocation problem. Int. J. Prod. Econ. 62 (1999) 237–248. | DOI

M.A. Badri, A.K. Mortagy and C.A. Alsayed, A multi-objective model for locating fire stations. Eur. J. Oper. Res. 110 (1998) 243–260. | DOI | Zbl

J.T. Blake and M.W. Carter, A goal programming approach to strategic resource allocation in acute care hospitals. Eur. J. Oper. Res. 140 (2002) 541–561. | DOI | Zbl

A. Charnes and W.W. Cooper, Management models and industrial applications of linear programming. Wiley, New York (1961). | Zbl

A. Charnes, W.W. Cooper and E. Rhodes, Measuring efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–444. | DOI | Zbl

A. Charnes and J. Storbeck, A goal programming model for siting multi-level EMS Systems. Socio-Economic Planning Sci. 14 (1980) 155–161. | DOI

L.H. Chen and M.C. Weng, An evaluation approach to engineering design in QFD processes using fuzzy goal programming models. Eur. J. Oper. Res. 172 (2006) 230–248. | DOI | Zbl

L. Cooper, Location-allocation problems. Oper. Res. 11 (1963) 331–344. | DOI | Zbl

J. Current, H. Min and D. Schilling, Multi-objective analysis of facility location decisions. Eur. J. Oper. Res. 49 (1990) 295–307. | DOI | Zbl

T. Drezner, Z. Drezner and S. Salhi, A multi-objective heuristic approach for the casualty collection points location problem. J. Oper. Res. Soc. 57 (2006) 727–734. | DOI | Zbl

E. Erkut, A. Karagiannidis, G. Perkoulidis and S.A. Tjandra, A multicriteria facility location model for municipal solid waste management in North Greece. Eur. J. Oper. Res. 187 (2008) 1402–1421. | DOI | Zbl

G. Fandel, On the performance of universities in North Rhine–Westphalia, Germany: Government’s redistribution of funds judged using DEA efficiency measures. Eur. J. Oper. Res. 176 (2007) 521–533. | DOI | Zbl

I. Giannikos, A multi-objective programming model for locating treatment sites and routing hazardous wastes. Eur. J. Oper. Res. 104 (1998) 333–342. | DOI | Zbl

S.L. Hakimi, Optimum locations of switching centers and absolute centers and medians of a graph. Oper. Res. 12 (1964) 450–459. | DOI | Zbl

S.L. Hakimi, Optimum distribution of switching centers in a communication network and some related graph theoretic problems. Oper. Res. 13 (1965) 462–475. | DOI | Zbl

C. Kao and S.T. Liu, Stochastic data envelopment analysis in measuring the efficiency of Taiwan commercial banks. Eur. J. Oper. Res. 196 (2009) 312–322. | DOI | Zbl

T.H. Keh and S. Chu, Retail productivity and scale economies at the firm level: a DEA approach. Omega 31 (2003) 75–82. | DOI

R.K. Klimberg and S.J. Ratick, Modeling data envelopment analysis efficient location/allocation decisions. Comput. Oper. Res. 35 (2008) 457–474. | DOI | Zbl

B. Kraiwinee, D.H. Eugene and P.D. Jonathan, Multinational investment and host country development: Location efficiencies for services offshoring. J. World Business 43 (2008) 227–242. | DOI

N.K. Kwak, M.J. Schnierderjans and K.S. Warkentin, An application of linear goal programming to the marketing distribution. Eur. J. Oper. Res. 52 (1991) 334–344. | DOI

S.M. Lee, G.I. Greens and C.S. Kim, A multiple criteria model for the location-allocation problem. Comput. Oper. Res. 5 (1981) 1–8. | DOI

M. Mathirajan and R. Ramanathan, A (0–1) goal programming model for scheduling the tour of a marketing executive. Eur. J. Oper. Res. 179 (2007) 554–566. | DOI | Zbl

W. Meilin and K. Iwamura, Fuzzy facility location-allocation problem under the Hurwicz criterion. Eur. J. Oper. Res. 184 (2008) 627–635. | DOI | Zbl

H.M. Melachrinoudis and A. Messac, The relocation of a manufacturing/distribution facility from supply chain perspectives A physical programming approach. JAI Press, Amsterdam (2000), Vol. 10, pp. 15–39.

R. Narasimhan, S. Talluri, J. Sarkis and A. Ross, Efficient service location design in government services: a decision support system framework. J. Oper. Manag. 23 (2005) 163–178 | DOI

J.P. Oddoye, D.F. Jones, M. Tamiz and P. Schmidt, Combining simulation and goal programming for healthcare planning in a medical assessment unit. Eur. J. Oper. Res. 193 (2009) 250–261. | DOI | Zbl

G. Peijun, Fuzzy data envelopment analysis and its application to location problems. Inform. Sci. 179 (2009) 820–829. | DOI | Zbl

D. Reynolds and G.M. Thompson, Multiunit restaurant productivity assessment using three-phase data envelopment analysis. Int. J. Hospitality Manag. 26 (2007) 20–32. | DOI

M.C. Sadok, C. Habib and A. Belaïd, Quality control system design through the goal programming model and the satisfaction functions. Eur. J. Oper. Res. 186 (2008) 1084–1098. | DOI | Zbl

C.K. Sydney and C. Lisa, A modeling framework for hospital location and service allocation. Int. Trans. Oper. Res. 7 (2000) 539–568. | DOI

H.E. Shroff, T.R. Gulledge and K.E. Haynes, Siting efficiency of long-term health care facilities. Socio-Economic Planning Sciences 32 (1998) 25–43. | DOI

P. Thomas, Y. Chan, L. Lehmkuhl and W. Nixon, Obnoxious-facility location and data envelopment analysis: a combined distance- based formulation. Eur. J. Oper. Res. 141 (2002) 495–514. | DOI | Zbl

F.M. Tseng, Y.J. Chiu and J.S. Chen, Measuring business performance in the high-tech manufacturing industry: A case study of Taiwan’s large-sized TFT-LCD panel companies. Omega 37 (2009) 686–697. | DOI

L.L. Yang, B.F. Jones and S.H. Yang, A fuzzy multi-objective programming for optimization of fire station locations through genetic algorithms. Eur. J. Oper. Res. 181 (2007) 903–915. | DOI | Zbl

K. Yoon and C.L. Hwang, Multiple attribute decision making: an introduction. Sage Publications, USA (1995).

O. Yoshiaki and T. Kazuki, Efficient location for a semi-obnoxious facility. Ann. Oper. Res. 123 (2003) 173–188. | DOI | Zbl

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