A New Decision Model for Reducing Trim Loss and Inventory in the Paper Industry

Algorithm 1

𝑠=1

While (𝑠≤𝑐)

Begin

   PSR=PSQ∗𝑇

   𝑓=1

   While(SolveorPSR≥PSQ)

   Begin

     TTL=min∑^𝑛_𝑗=1𝐿−∑^𝑜_𝑘=1𝑎_𝑘𝑗𝑤_𝑘×𝑥_𝑗 (minimize trim loss)

     Subject to ^𝑜∑_𝑘=1𝑎_𝑘𝑗𝑤_𝑘≤𝐿  (width of reel constraint)

          UB≤𝐿−∑^𝑜_𝑘=1𝑎_𝑘𝑗𝑤_𝑘  (trim loss constraint)

         ∑PSR=^𝑛𝑗=1𝑥_𝑗st  (reel set constraint)

         𝐷_𝑘≤∑^𝑛_𝑗=1𝑎_𝑘𝑗𝑥_𝑗  (order constraint)

          ^𝑛∑_𝑗=1𝑎_𝑘𝑗𝑥_𝑗≤PPW_𝑘𝑠  (capacity constraint)

     If (Solve) then

        TL_𝑓𝑠=TTL∑^𝑛_𝑗=1𝐿×𝑥_𝑗∗100

     End

     PSQ_𝑓=PSR

     PSR=PSR−1

     𝑓=𝑓+1

   End

   𝑠=𝑠+1

End