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Notation | Term |
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i | Index number of different parts |
j | Index number of different spaces |
k | Index number of different echelons |
s | Index number of disturbances |
| Trajectory of part i |
n | Number of parts |
m | Number of echelons |
x | Space variable |
| Length of supply chain echelon |
| Space vector |
t | Time variable |
T | Observation time |
A | Supply chain diameter in units of area |
(t) | Material inflow rate of echelon k at time t |
(t) | Material outflow rate of echelon k at time t |
q() | Material flow rate at space x at time t |
u() | Material density at space x at time t |
(t) | Echelon stock of supply chain echelon k at time t |
S(t) | Bounded total stock at time t |
(t) | Momentum velocity of part i at time t |
| Maximum velocity in echelon k |
(u) | Equilibrium velocity referred to the momentum material density |
| Maximum capacity of echelon k |
| Average maximum capacity of all echelons |
| Total maximum capacity |
| Throughput referred to echelon k to a certain observation time T |
| Averaged throughput per supply chain echelon to a certain observation time T |
| Throughput at to a certain observation time T |
| Standard deviation of internal capacities |
| Material flow productivity in % |
| Lead time echelon k |
| Total lead time |
| Disturbance s |
| Long-term demand |
| Midterm master schedule variation |
| Amplitude of rectangular function |
| Amplitude of sinusoidal oscillation of supply disruptions |
| Period/frequency of rectangular function |
| Period/frequency of sinusoidal oscillation of supply disruptions |
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