Selecting the Optimal LoA to Prevent the Expansion of COVID-19 in the Chemical Industry considering Sustainability Factors: A Fuzzy Mathematical Optimization Approach
Table 2
Parameters, variables, and constants of the model.
Sets
I
Index of automation dimensions, i = 1,2,…, im
J
Index of automation levels, j = 1,2,…., jm
F
Index of activities, f = 1,2,…, fm
M
Index of raw materials, m = 1,2,…mm
E
Index of the specialists with different skill levels, e = 1,2,…, em
N
Index of environmental pollutants, n = 1,2,…, nm
T
Return on investment period, t = 1,2,…, tm
Parameters
Upper indexes M, F and P refer to manufacturing workstations, filling workstations, and packaging workstations
The unit cost of raw material m in manufacturing workstation M in period t
The unit cost of raw material m in filling workstation F in period t
The unit cost of raw material m in packaging workstation P in period t
The usage of raw material m at level j and dimensiIn i of LoA
The overhead costs of activity f in manufacturing workstation M in period t
The overhead costs of activity f in filling workstation F in period t
The overhead costs of activity f in packaging workstation P in period t
The Number of specialists required with skill level e at the level j and dimensIon i in manufacturing workstation M
The Number of specialists required with skill level e at the level j and dimenIion i in filling workstation F
The Number of specialists required with skill level e at the level j and dimeIsion i in packaging workstation P
The labor cost of each expert with skill level e in manufacturing workstation M in period t
The labor cost of each expert with skill level e in filling workstation F in period t
The labor cost of each expert with skill level e in packaging workstation P in period t
Total machinery cost in manufacturing workstation M at level j and dimension i
Total machinery cost in filling workstation F at level j and dimension i
Total machinery cost in packaging workstation P at level j and dimension i
The number of activities f for production in manufacturing workstation M
The number of activities f for production in filling workstation F
The number of activities f for production in packaging workstation P
Constants
Production volume in manufacturing workstation M (bulk)
Production volume in filling workstation F (bottle)
Production volume in packaging workstation P (carton)
b
The change rate of bulk to bottle
p
The change rate of the bottle to carton
d
The difference between the LoAs in different dimensions
Environmental impact n in period t
MAXCM
The budget for purchasing machinery
MAXCR
The budget for raw material
MAXCO
The budget for overhead costs
DEMAND
Maximum product demand
NOWCM
The current cost of machinery in manufacturing workstation M
NOWCF
The current cost of machinery in filling workstation F
NOWCP
The current cost of machinery in packaging workstation P
NOWCRM
The current cost of raw materials in manufacturing workstation M
NOWCRF
The current cost of raw materials in filling workstation F
NOWCRP
The current cost of raw materials in packaging workstation P
NOWCSM
The current cost of the specialists in manufacturing workstation M
NOWCSF
The current cost of the specialists in filling workstation F
NOWCSP
The current cost of the specialists in packaging workstation P
NOWCOM
The current labor costs in manufacturing workstation M
NOWCOF
The current labor costs in filling workstation F
NOWCOP
The current labor costs in packaging workstation P
ml
The Number of automation levels permitted to use full automation(without operator)in manufacturing workstation M
fl
The Number of automation levels permitted to use full automation(without operator)in filling workstation F
pl
The Number of automation levels permitted to use full automation(without operator)in packaging workstation P
