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. 2021 Apr 23;7:e461. doi: 10.7717/peerj-cs.461

Table 2. Denotation of the parameters and variables.

Indexes Description
l Sub operation number, lLn
m Transportation service number, mM
n Operation number, nN
s service point number, sS
Parameters Description
TCm(s,s) transportation service m’s cost between service point s and s,
TCm(s,s)=tcmdss ($)
PClns the performance cost of subtask SOln in service point s,
($)
dss Distance between service points s and s (mile)
tlns Operation performing time SOln in service point s (hour)
qs Service quality of service point s (%)
opclns The operation performing cost SOlnin service point s ($ per hour)
lcm The cost of transportation service m ($ per mile)
SOln lth sub-operation of the nth operation
Ok nth operation
Vln a binary parameter, Vln=1, if operation n needs sub-operationl, otherwise Vln=0.
Variables Description
σlns a binary variable, σlns= 1, if sub-operation l for operation n in service point s is to be fulfilled, otherwise σlns=0.
ρm(s,s)n(l,l+1) a binary variable, ρm(s,s)n(l,l+1)= 1, if transportation service m between two service points s and s′ for proceeding from sub-operation l to l+1 for operation n is needed, otherwise
ρm(s,s)n(l,l+1)= 0.