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. 2023 Feb 23:1–35. Online ahead of print. doi: 10.1007/s10668-023-03004-7
Parameter
gemd Transportation distance (km) from manufacturer m to distribution center d
drdr Transportation distance (km) from distribution center d to store r
hcrc Transportation distance (km) from store r to region c
tcgmdjv Preventive cost of health protocols and transportation cost per kilometer for product j from manufacturer m to distribution center d by vehicle v
tcadrjv Preventive cost of health protocols and transportation cost per kilometer for product j from distribution center d to store r by vehicle v
tcrcjv Preventive cost of health protocols and transportation cost as unit per kilometer for product j from store r to region c by vehicle v
pmj Cost of supply and purchase of product j from supplier m
caaj Cost of water consumption and disinfection of product j by disinfection and sterilization center a
GPj Production of sanitary wastes in product disinfection j
CGPj Cost of collection and disposal of sanitary wastes for the product j
omj Maximum production capacity, manufacturer m for product j
vgdj Maximum capacity of distribution center d for product j
vaaj Maximum disinfection and sterilization capacity of disinfection and sterilization center a for product j
urj Maximum retail supply capacity r for product j
bv Maximum vehicle capacity v
sv Maximum vehicle speed v
cvv Fixed cost of purchasing a vehicle v
egd Fixed cost of construction of distribution center d
eaa Fixed cost of construction of a disinfection and sterilization center a
er Fixed cost of construction of a retail center r
ccpv Carbon emission costs due to transportation by vehicle v per kilometer
ccoj Operating carbon emission costs for the product j
CDj Delay cost of delivery of product j
EDMmdj Expected time of delivery of product j from manufacturer m to distribution centers d
EDGdrj Expected time to delivery product j from distribution center d to store r
EDRdaj Disinfection time of product j in distribution center d in disinfection and sterilization center a
EDAarj Expected time to delivery product j from disinfection and sterilization center a to store r
ERCrcj Expected time to delivery product j from store r to region c in online sales
LGmd It is equal to 1 if delivery from manufacturer m to distribution center d is allowed, otherwise it is 0
LAdr It is equal to 1 if delivery from distribution center d to store r is allowed, otherwise it is 0
LBda It is equal to 1 if the disinfection center a in warehouse d is active, otherwise it is 0
LCar It is equal to 1 if delivery from disinfection center a to store r is allowed, otherwise it is 0
LErc It is equal to 1 if delivery from store r to region c is allowed, otherwise it is 0
Pωjc In-person purchase market elasticity for product demand j in region c
Eωjc Online shopping market elasticity for the demand of product j in region c
ωjc The rate of change in the purchase of product j in region c due to the COVID-19 pandemic
c COVID-19 pandemic status in region c (range 0 to 1)
σj Price significance coefficient on in-person demand of product j
δj Coefficient of price importance on online demand of product j
α Percentage of tolerance that the price of in-person sales of a product can differ from the cost of supply
β Percentage tolerance that the price of the online sales of a product can differ from the cost of supply
BM Big number