A Multiobjective Fuzzy Aggregate Production Planning Model Considering Real Capacity and Quality of Products

In this study, an attempt has been made to develop a multiobjective fuzzy aggregate production planning (APP) model that best serves those companies whose aim is to have the best utilization of their resources in an uncertain environment while trying to keep an acceptable degree of quality and customer service level simultaneously. In addition, the study takes into account the performance and availability of production lines. To provide the optimal solution to the proposed model, first it was converted to an equivalent crisp multiobjective model and then goal programming was applied to the converted model. At the final step, the IBM ILOG CPLEX Optimization Studio software was used to obtain the final result based on the data collected from an automotive parts manufacturing company. The comparison of results obtained from solving the model with and without considering the performance and availability of production lines, revealed the significant importance of these two factors in developing a real and practical aggregate production plan.

[1]  Jacques A. Ferland,et al.  Aggregate production planning problem. A new algorithm , 2004, Electron. Notes Discret. Math..

[2]  M. Gen,et al.  Method for solving multiobjective aggregate production planning problem with fuzzy parameters , 1992 .

[3]  C. Hwang,et al.  An aggregate production planning model and application of three multiple objective decision methods , 1980 .

[4]  Atul P. Kanyalkar,et al.  An integrated aggregate and detailed planning in a multi-site production environment using linear programming , 2005 .

[5]  R. Narasimhan.  GOAL PROGRAMMING IN A FUZZY ENVIRONMENT , 1980 .

[6]  Tien-Fu Liang,et al.  Application of fuzzy multi-objective linear programming to aggregate production planning , 2004, Comput. Ind. Eng..

[7]  Tien-Fu Liang,et al.  Application of fuzzy sets to manufacturing/distribution planning decisions in supply chains , 2011, Inf. Sci..

[8]  Amelia Bilbao-Terol,et al.  Linear programming with fuzzy parameters: An interactive method resolution , 2007, Eur. J. Oper. Res..

[9]  Ikou Kaku,et al.  The activity-based aggregate production planning with capacity expansion in manufacturing systems , 2012, Comput. Ind. Eng..

[10]  Jiafu Tang,et al.  Fuzzy formulation for multi-product aggregate production planning , 2000 .

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

[12]  Mir Saman Pishvaee,et al.  A possibilistic programming approach for closed-loop supply chain network design under uncertainty , 2010, Fuzzy Sets Syst..

[13]  Mir-Bahador Aryanezhad,et al.  A multi-objective robust optimization model for multi-product multi-site aggregate production planning in a supply chain under uncertainty , 2011 .

[14]  Vaidyanathan Jayaraman,et al.  Production planning for closed-loop supply chains with product recovery and reuse: an analytical approach , 2006 .

[15]  Adil Baykasoğlu.  MOAPPS 1.0: Aggregate production planning using the multiple-objective tabu search , 2001 .

[16]  Ronald R. Yager,et al.  A procedure for ordering fuzzy subsets of the unit interval , 1981, Inf. Sci..

[17]  Lazaros G. Papageorgiou,et al.  Simultaneous maintenance considerations and production planning in multi-purpose plants , 2000, Annual Reliability and Maintainability Symposium. 2000 Proceedings. International Symposium on Product Quality and Integrity (Cat. No.00CH37055).

[18]  Waiel F. Abd El-Wahed,et al.  Interactive fuzzy goal programming for multi-objective transportation problems ☆ , 2006 .

[19]  C. Hwang,et al.  A new approach to some possibilistic linear programming problems , 1992 .

[20]  Leena Suhl,et al.  Aggregate production planning in the automotive industry with special consideration of workforce flexibility , 2011 .

[21]  Donya Rahmani,et al.  An aggregate production planning model for two phase production systems: Solving with genetic algorithm and tabu search , 2012, Expert Syst. Appl..

[22]  Bo K. Wong,et al.  A survey of the application of fuzzy set theory in production and operations management: 1998-2009 , 2011 .

[23]  Mariano Jiménez,et al.  Ranking fuzzy numbers through the Comparison of its Expected Intervals , 1996, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[24]  Stephen C. H. Leung,et al.  A goal programming model for aggregate production planning with resource utilization constraint , 2009, Comput. Ind. Eng..

[25]  Nils Brunsson.  My own book review : The Irrational Organization , 2014 .

[26]  A. G. Lagodimos,et al.  Hierarchical production planning for multi-product lines in the beverage industry , 2007 .

[27]  H. Zimmermann.  DESCRIPTION AND OPTIMIZATION OF FUZZY SYSTEMS , 1975 .

[28]  Udatta S. Palekar,et al.  Aggregate production planning for a continuous reconfigurable manufacturing process , 2005, Comput. Oper. Res..

[29]  S.A. Torabi,et al.  An interactive possibilistic programming approach for multiple objective supply chain master planning , 2008, Fuzzy Sets Syst..

[30]  Reay-Chen Wang,et al.  Aggregate production planning with multiple objectives in a fuzzy environment , 2001, Eur. J. Oper. Res..

[31]  S.M.T. Fatemi Ghomi,et al.  Integrated markdown pricing and aggregate production planning in a two echelon supply chain: A hybrid fuzzy multiple objective approach , 2012 .

[32]  Carlos Romero,et al.  A general structure of achievement function for a goal programming model , 2004, Eur. J. Oper. Res..

[33]  Zhuo Liu,et al.  Aggregate production planning for shipbuilding with variation-inventory trade-offs , 2011 .

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

[35]  Hong-Sen Yan,et al.  Integrated Production Planning and Scheduling on Automobile Assembly Lines , 2003 .

[36]  Lazaros G. Papageorgiou,et al.  Optimal maintenance planning and crew allocation for multipurpose batch plants , 2004 .

[37]  Ahmed K. Rifai,et al.  A note on the structure of the goal‐programming model: assessment and evaluation , 1996 .

[38]  Mohammad Ali Soukhakian,et al.  A hybrid fuzzy goal programming approach with different goal priorities to aggregate production planning , 2009, Comput. Ind. Eng..

[39]  Z. H. Che,et al.  A modified Pareto genetic algorithm for multi-objective build-to-order supply chain planning with product assembly , 2010, Adv. Eng. Softw..

[40]  E. Hannan.  Linear programming with multiple fuzzy goals , 1981 .

[41]  José Rui Figueira,et al.  An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming , 2006 .

[42]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[43]  M. M. Lotfi,et al.  A fuzzy goal programming approach for mid-term assortment planning in supermarkets , 2011, Eur. J. Oper. Res..

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