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Discrete-event simulation of inventories in Python via SimPy

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simpy-stockout

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This is a replication, in Python, of the discrete event simulation given by Law and Kelton (2000) for a single-product inventory system (s,S), previously written in FORTRAN (p. 66) and in C (p. 73).

Note that Law and Kelton run a single replication, as does this Python replication, and thus the output will differ some between the simulations due, for instance, to the use of different random number streams.

Results given in Law and Kelton (2000)

Inventory Policy Average total cost Average ordering cost Average holding cost Average shortage cost
( 20, 40) 126.61 99.26 9.25 18.10
( 20, 60) 122.74 90.52 17.39 14.83
( 20, 80) 123.86 87.36 26.24 10.26
( 20,100) 125.32 81.37 36.00 7.95
( 40, 60) 126.37 98.43 25.99 1.95
( 40, 80) 125.46 88.40 35.92 1.14
( 40,100) 132.34 84.62 46.42 1.30
( 60, 80) 150.02 105.69 44.02 0.31
( 60,100) 143.20 89.05 53.91 0.24

Results from replication in Python (using SimPy DES library)

Inventory Policy Average total cost Average ordering cost Average holding cost Average shortage cost
( 20, 40) 126.87 97.36 8.61 20.90
( 20, 60) 124.72 92.13 15.87 16.71
( 20, 80) 128.44 90.36 24.19 13.89
( 20,100) 126.37 81.82 37.24 7.31
( 40, 60) 125.92 99.18 25.16 1.57
( 40, 80) 120.65 85.70 34.55 0.39
( 40,100) 131.16 85.11 45.76 0.29
( 60, 80) 138.88 92.85 45.96 0.07
( 60,100) 145.83 88.98 56.85 0.00

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Discrete-event simulation of inventories in Python via SimPy

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