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A linear programming integer model for cellular manufacturing layout design with machine flexibility and dynamic criteria

  • Authors Details :  
  • Ramesh.s,  
  • Arunkumar.n,  
  • Sambhrant Srivastava,  
  • Vijay Kumar,  
  • Senthilkumaran .s And Vijayaraj. R

569 Views Original Article

The Cellular Manufacturing is adopted in batch type manufacturing industries nowadays for their production with increased productivity, less cost and time with effective control. The proposed optimization model is used to determine the cost of machine cells, i.e., machine duplication, part subcontract, inter intra cellular movements cost and cost of production associated with machine cell, such as machine reconfiguration and part inventory considering machine flexibility for various time periods. Initially, a mathematical model is proposed to calculate machine cell cost with and without considering machine flexibility, and then another lpp integer model is proposed to calculate the machine cell production and associated cost for the changes in the time period, part type, and volume considering machine flexibility. The manufacturing data in the incidence matrix and machine cell, and part family data in the block diagonal form are given as input to the optimization programming language Cplex and the output is given for the two mathematical models. The data relating to machine duplication, part subcontract, inter intracellular movement; machine reconfiguration, and part inventory are given. Two-dimensional shop floor layouts are presented in rectilinear coordinates for all the problems for easy analysis of material movement length and shop floor area

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DOI : https://doi.org/10.37896/pd91.4/91488

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