Design of Fuzzy Decision Making Model for Facility Layout Design Selection Problem by Development of PSI Method

Document Type : Original Article


1 Associate professor, Ferdowsi University of Mashhad.

2 MA, Ferdowsi university.


The layout design problem is a strategic issue that has a significant impact on the efficiency of a manufacturing system. In these problems several quantitative and qualitative criteria are considered that have different effects on the relationship between facilities. Using fuzzy set theory due to more ability to describe  non-precise qualitative values will increase the quality of the layout design. This paper proposed an alternative fuzzy multi-criteria decision making method based on PSI to select proper facility layout design. In this method, qualitative and quantitative criteria have be considered simultaneously, and the performance of layout designs for qualitative criteria are considered as fuzzy and the weighted proper design is selected but regardless of the relative importance between criteria from experts. In order toverifythe proposed method, thismethodwas evaluatedina case study, that Comparison withotherstudiesdemonstratesthe proposed method despite of simplicity and easy to understand is more reality, andsuitable for solving layout design selection problems.


1. Azar, Adel; Faraji, Hojjat (2002). "Fuzzy Management Science", Tehran, Society.
2. Asgharpour, Mohammad Javad (2009). "Multi Criteria Decision Making", Tehran, University of Tehran.
3. Asghari Zadeh, Ezzatollah Ansari, Manouchehr, and Kiani-Mawy, Zahra (2006). "Weighting and Ranking of Indicators Affecting the Quality of a Car's Tires Using Multi-Index Decision Making Techniques" Management Knowledge, 19 (75), 3-21.
4. Khazaki, Hamidreza; Shahandeh, Ali; and Hejazi, Seyedreza (2008). "The Application of Fuzzy Decision Making in Facility Planning" Independence, 27 (2), 31-47.
5. Atai, Mohammad (2009). "Fuzzy Multi-criteria Decision Making", Shahroud, Shahroud University of Technology.
6. Nouri, Hamid; Radford, Russell (2009). "Modern Issues in Production and Operations Management", Referee Ardahan, Banafsheh Behnam, Haleh Valian, Tehran, Industrial Management Organization.
7. Vinche, Abdollah Hadi-Qasemi, Amir Mohammad (2009). "A Nonlinear Weighted Optimization Model for Ranking Different Layout Models on the Layout Design Problem", Journal of Applied Mathematics Lahijan Branch, 6 (23), 51-60.
8. Abbasbandy, S, Amirfakhrian, M (2006) »Numerical approximation of fuzzy functions by fuzzy polynomials« Mathematics and Computation, 174, 2: 1001-1006.
9. Aiello, G, Enea, M, Galante, G (2006) »A multi-objective approach to problem layout by genetic search algorithm and Electre method« Robotics and Computer-Integrated Manufacturing, 22, 5-6: 447-455 .
10. Baykasoglu, Adil, Dereli, Turkay, Sabuncu, Ibrahim (2006) »An ant colony algorithm for solving budget constrained and unconstrained dynamic facility layout problems« The International Journal of Management Science, 34, 4: 385-396.
11. Cambron, Kenneth E, Evans, Gerald W (1991) »Layout design using the analytic hierarchy process« Computers and Industrial Engineering, 20, 2: 211-229.
12. Deb, S.K, Bhattacharyya, B (2005) »Fuzzy decision support system for planning layout manufacturing facilities« Decision Support Systems, 40, 2: 305-314.
13. Ertay, Tijen, Ruan, Da, Tuzkaya, Umut Rifat (2006) »Integrated data envelopment analysis and analytical hierarchy for facility layout design in manufacturing systems« Information science, 176, 3: 237-262.
14. Gao, Shang, Zhang, Zaiyue (2009) »Multiplication operation on fuzzy numbers« Journal of Software, 4, 4: 331-338.
15. Ghaseminejad, Amin, Navidi, Hamidreza, Bashiri, Mahdi (2011) »Using data envelopment analysis and TOPSIS method for solving flexible bay structure layout« International Journal of Management Science, 6, 1: 49-57.
16. Gonzalez-Cruz, Ma Carmen, Martinez, Eliseo Gomez-Senent (2011) »An entropy-based algorithm to solve the design problem layout facility« Robotics and Computer-Integrated Manufacturing, 27, 1: 88-100.
17. Grobelny, Jerzy (1987) »The Fuzzy Approach to Facilities Layout Problems« Fuzzy sets and systems, 23, 2: 175-190.
18. Houshyar, Abdolazim (1991) »Computer aided facility layout: An interactive multi-goal approach« Computers and Industrial Engineering, 20, 2: 177-186.
19. Karray, Fakhreddine, Zaneldin, Essam, Hegazy, Tarek, Shabeeb, Abdulkarim HM, Elbeltagi, Emad (2000) »Soft computing tools as applied to problem planning layout facilities« IEEE Transactions On Fuzzy Systems, 8, 4: 367-379.
20. Kuo, Yiyo, Yang, Taho, Huang, Guan-wei (2008) »The use of gray relational analysis in solving multiple attribute decision-making problems« Computer & Industrial Engineering, 55, 1: 80-93.
21. Maniya, K.D, Bhatt, M.G (2011) »An alternative multiple attribute decision making methodology for solving optimal facility layout design selection problems« Computer & Industrial Engineering, 61, 3: 542-549.
22. Mckendall Jr, Alan R, Shang, Jin (2006) »Hybrid ant systems for dynamic facility layout problem« Computer & Operations Research, 33, 3: 790-803.
23. Ning, Xin, Lam, Ka-Chi, Lam, Mike Chun-Kit (2010) »Daynamic construction site layout planning using max-min ant system« Automation in construction, 19, 1: 55-65.
24. Partovi, Fariborz Y, Burton, Jonathan (1992) »An analytical hierarchy approach to facility layout« Computers & Industrial Engineering, 22, 4: 447-457.
25. Scholz, Daniel, Jaehn, Florian, Junker, Andreas (2011) »Extensions to STaTS for practical applications of the problem layout facility« Europen Journal of Operational Research, 204, 3: 463-472.
26. Shang, Jen S (1993) »Multicriteria facility layout problem: An integrated approach« European Journal of Operational Research, 66, 3: 291-304.
27. Shouman, M.A, Nawara, G.M, Mohamed, H.E, Shaer, R.H (2004) »Genetic algorithm approach for solving multi-objective facility layout problem« Alexandria Engineering Journal, 43, 3: 285-295.
28. Taghavi, Ali, Murat, Alper (2011) »A heuristic procedure for integrated facility layout design and flow assignment problem« Computer & Industrial Engineering, 61, 1: 55-63.
29. Yang, Taho, Hung, Chih-Ching (2007) »Multiple-attribute decision making methods for plant layout design problem« Robotic and Computer-Integrated Manufacturing, 23, 1: 126-137.
30. Yang, Taho, Kuo, Chunwei (2003) »A hierarchical AHP / DEA methodology for problem design layout facilities« Europen Journal of Operational Research, 147,