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. 2020 Nov 25;8:213916–213927. doi: 10.1109/ACCESS.2020.3040544

TABLE 2. List of Notations.

Notation Description Value
Inline graphic Traffic load growth rate {0.4, 0.9}
Inline graphic Arrival rate {0.25,5,10}
Inline graphic Initial workload {0.9}
Inline graphic Standard deviation {5}
3DPT Inline graphic A 3D printing task [400,3000]
Px Printer number x
Inline graphic The number of the printer [1,60]
Current At time t
Prev At time t-1
Inline graphic rnk The rank of a 3DPT in the ready queue of a 3DP
PR The priority of a 3DPT [1,5]
cat The category of both 3DPs and 3DPTs {PPE, SP}
MN Maximum Number
LP Lower Priority 3DPT
Inline graphic A 3DPT can be nested with other jobs
NN A 3DPT cannot be nested with other jobs
sub Sub-task
NP Number of parts in each 3DPT
NPL Number of parts’ limit for each 3DP
PV Printing volume
PVL Printing volume limit
RT Resting time of a 3DP
Inline graphic Arrival time of a 3DPT
Inline graphic Starting time of a 3DPT
Inline graphic Printing time of a 3DPT
Inline graphic Actual printing time of a 3DPT
Inline graphic Delivery time of a 3DPT
Inline graphic Finishing time of a 3DPT
Inline graphic Logistics time
Inline graphic Time constants of a 3DP
Inline graphic Warm-up time of a 3DP [8,10] min
Inline graphic Cooling-down time of a 3DP [4,9] min
Inline graphic Take-down time of a 3DP [1,3] min
WTS Working time summation of a 3DP
WTL Working time limit of a 3DP
RWT Remaining working time of a 3DP
DL Deadline for a 3DPT
Inline graphic Distance between a demander and a 3DP
Speed Inline graphic The logistics speed 60 km/hr
Lg Longitude of a location
Lat Latitude of a location
LT The last task in the ready queue of a 3DP
mt Model type of a 3DPT