A FUZZY BINARY BI OBJECTIVE TRANSPORTATION MODEL: IRANIAN STEEL SUPPLY NETWORK

Prominent influence of transportation costs on supply chain overall profit indicates the importance and emergence of transportation optimization models. Regarding this issue and in view of realistic situation consisting of non-deterministic information, in this research optimizing inbound and outbound transportation costs of a multi echelon supply chain has been considered. To deal with uncertain time deliveries and pricing strategies adopted by different members of supply chain, in conjunction with unpredictable demand rate, fuzzy logic and specifically Trapezoidal Fuzzy Numbers (TrFNs) are included. After designing a fuzzy binary multi objective model based upon structural assumptions, the solving approach is proposed and the model is employed on Iranian steel supply network to illustrate the potential and advantages of our scheduled model. The bi-objective mixed integer fuzzy programming model presents and encompasses many realistic circumstances making the model applicable in network transportation cases.

[1]  A. Samuel,et al.  IMPROVING IZPM FOR UNBALANCED FUZZY TRANSPORTATION PROBLEMS , 2014 .

[2]  Fernando Jiménez,et al.  Uncertain solid transportation problems , 1998, Fuzzy Sets Syst..

[3]  Sifeng Liu,et al.  Grey Information: Theory and Practical Applications (Advanced Information and Knowledge Processing) , 2005 .

[4]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers , 2007, Applied Intelligence.

[6]  Hadi Basirzadeh,et al.  An Approach for Solving Fuzzy Transportation Problem , 2011 .

[7]  Nuran Güzel.  Fuzzy Transportation Problem with the Fuzzy Amounts and the Fuzzy Costs , 2010 .

[8]  K. Govindan,et al.  Leadership Selection in an Unlimited Three-Echelon Supply Chain , 2013 .

[9]  Lucian C. Coroianu,et al.  Existence, uniqueness and continuity of trapezoidal approximations of fuzzy numbers under a general condition , 2014, Fuzzy Sets Syst..

[10]  Gaurav Sharma,et al.  Solving Transportation Problem with the help of Integer Programming Problem , 2012 .

[11]  Dorota Kuchta,et al.  A concept of the optimal solution of the transportation problem with fuzzy cost coefficients , 1996, Fuzzy Sets Syst..

[12]  Panlop Zeephongsekul,et al.  A game theory approach in seller-buyer supply chain , 2009, Eur. J. Oper. Res..

[13]  Olegas Prentkovskis,et al.  Algorithm for the assessment of heavyweight and oversize cargo transportation routes , 2017 .

[14]  Amoozad Mahdiraji Hannan,et al.  A grey mathematical programming model to time-cost trade-offs in project management under uncertainty , 2011, Proceedings of 2011 IEEE International Conference on Grey Systems and Intelligent Services.

[15]  Hannan Amoozad Mahdiraji,et al.  A hybrid model of fuzzy goal programming and grey numbers in continuous project time, cost, and quality tradeoff , 2014 .

[16]  ChenShyi-Ming,et al.  Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers , 2007 .

[17]  K. Ganesan,et al.  Fuzzy Optimal Solution to Fuzzy Transportation Problem: A New Approach , 2012 .

[18]  Edmundas Kazimieras Zavadskas,et al.  The Selection of Wagons for the Internal Transport of a Logistics Company: A Novel Approach Based on Rough BWM and Rough SAW Methods , 2017, Symmetry.

[19]  Mohamed Shenify,et al.  The Expected Value of a Fuzzy Number , 2015 .

[20]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[21]  Seyed Hossein Razavi Hajiagha,et al.  A grey multi-objective linear model to find critical path of a project a by using time, cost, quality and risk parameters , 2016 .

[22]  D. Dubois,et al.  The mean value of a fuzzy number , 1987 .

[23]  José L. Verdegay,et al.  Solving fuzzy solid transportation problems by an evolutionary algorithm based parametric approach , 1999, Eur. J. Oper. Res..

[24]  Sifeng Liu,et al.  Covered solution for a grey linear program based on a general formula for the inverse of a grey matrix , 2014, Grey Syst. Theory Appl..

[25]  Shyamal Kumar Mondal,et al.  A fixed-charge transportation problem in two-stage supply chain network in Gaussian type-2 fuzzy environments , 2015, Inf. Sci..

[26]  Przemyslaw Grzegorzewski,et al.  Metrics and orders in space of fuzzy numbers , 1998, Fuzzy Sets Syst..

[27]  N. Rianthong,et al.  A Mathematical Model for Optimal Production, Inventory and Transportation Planning with Direct Shipment , 2022 .

[28]  Amit Kumar,et al.  Solving Fuzzy Bi-Criteria Fixed Charge Transportation Problem Using a New Fuzzy Algorithm , 2010 .

[29]  Feng-Tse Lin,et al.  Solving the transportation problem with fuzzy coefficients using genetic algorithms , 2009, 2009 IEEE International Conference on Fuzzy Systems.

[30]  GrzegorzewskiPrzemysł.  Metrics and orders in space of fuzzy numbers , 1998 .

[31]  Stanisław Heilpern,et al.  The expected value of a fuzzy number , 1992 .

[32]  PradeHenri,et al.  The mean value of a fuzzy number , 1987 .

[33]  Stefan Chanas,et al.  On the interval approximation of a fuzzy number , 2001, Fuzzy Sets Syst..

[34]  P. Pandian,et al.  A New Algorithm for Finding a Fuzzy Optimal Solution for Fuzzy Transportation Problems , 2009 .

[35]  Gang Lu,et al.  Grey transportation problem , 2004 .

[36]  Samarjit Kar,et al.  Multi-item solid transportation problem with type-2 fuzzy parameters , 2015, Appl. Soft Comput..

[37]  Amarpreet Kaur,et al.  A new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers , 2012, Appl. Soft Comput..

[38]  Ali Ebrahimnejad,et al.  A simplified new approach for solving fuzzy transportation problems with generalized trapezoidal fuzzy numbers , 2014, Appl. Soft Comput..

[39]  Pei Liu,et al.  A solid transportation problem with type-2 fuzzy variables , 2014, Appl. Soft Comput..

[40]  H. Zimmermann.  Fuzzy programming and linear programming with several objective functions , 1978 .

[41]  Seyed Hossein Razavi Hajiagha,et al.  Game theoretic approach for coordinating unlimited multi echelon supply chains , 2015 .

[42]  Yu-Jie Wang.  Ranking triangle and trapezoidal fuzzy numbers based on the relative preference relation , 2015 .

[43]  Amit Kumar,et al.  Methods for solving fuzzy assignment problems and fuzzy travelling salesman problems with different membership functions , 2011 .

[44]  Chi-Tsuen Yeh.  Trapezoidal and triangular approximations preserving the expected interval , 2008, Fuzzy Sets Syst..

[45]  Przemysław Grzegorzewski,et al.  Algorithms for Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected Interval , 2010 .

[46]  S. Chanas,et al.  A fuzzy approach to the transportation problem , 1984 .

[47]  M. Amparo Vila,et al.  On a canonical representation of fuzzy numbers , 1998, Fuzzy Sets Syst..

[48]  Hale Gonce Kocken,et al.  A simple parametric method to generate all optimal solutions of fuzzy solid transportation problem , 2016 .

[49]  Shugani Poonam,et al.  Fuzzy Transportation Problem of Triangular Numbers with −Cut and Ranking Technique , 2012 .

[50]  J. Merline Vinotha,et al.  Multi-objective Two Stage Fuzzy Transportation Problem , 2009 .

[51]  Przemyss Law Grzegorzewski.  New Algorithms for Trapezoidal Approximation of Fuzzy Numbers Preserving the Expected Interval Przemys law Grzegorzewski Systems , 2008 .

[52]  Tofigh Allahviranloo,et al.  Note on "Trapezoidal approximation of fuzzy numbers" , 2007, Fuzzy Sets Syst..

[53]  Jershan Chiang,et al.  The Optimal Solution of the Transportation Problem with Fuzzy Demand and Fuzzy Product , 2005, J. Inf. Sci. Eng..