FICO Xpress Optimization Examples Repository: Transportation problem with piecewise linear cost expressions

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Transportation problem with piecewise linear cost expressions

Description

Formulating piecewise linear cost functions via pwlin constraints.

transpl2.zip

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Source Files

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Data Files

transpl2.dat

! Data file for transpl2.mos
SUPPLY:[(GARY) 1400  (CLEV) 2600  (PITT) 2900]
DEMAND:[(FRA)  900   (DET) 1200   (LAN)  600   (WIN)  400 
        (STL) 1700   (FRE) 1100   (LAF) 1000]
RATE:[
  (GARY FRA) [39  50  70]   (GARY DET) [14  17 33]
  (GARY LAN) [11  12  23]   (GARY WIN) [14  17]
  (GARY STL) [16  23  40]   (GARY FRE) [82  98]
  (GARY LAF) [ 8  16  24]

  (CLEV FRA) [27  37  47]   (CLEV DET) [ 9  19  24]
  (CLEV LAN) [12  32  39]   (CLEV WIN) [ 9  14  21]
  (CLEV STL) [26  36  47]   (CLEV FRE) [95 105 129]
  (CLEV LAF) [ 8  16  24]

  (PITT FRA) [24  34]         (PITT DET) [14  24]
  (PITT LAN) [17  27]         (PITT WIN) [13  23]
  (PITT STL) [28]             (PITT FRE) [99 140]
  (PITT LAF) [20]
]
LIMIT:[
  (GARY FRA) [500 1000]  (GARY DET) [500  1000]
  (GARY LAN) [500 1000]  (GARY WIN) [1000]
  (GARY STL) [500 1000]  (GARY FRE) [1000]
  (GARY LAF) [500 1000]

  (CLEV FRA) [500 1000]  (CLEV DET) [500 1000]
  (CLEV LAN) [500 1000]  (CLEV WIN) [500 1000]
  (CLEV STL) [500 1000]  (CLEV FRE) [500 1000]
  (CLEV LAF) [500 1000]

  (PITT FRA) [1000]  (PITT DET) [1000]  (PITT LAN) [1000]  (PITT WIN) [1000]
  (PITT FRE) [1000]
]