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. 2017 Jan 1;17(1):79. doi: 10.3390/s17010079

Table 1.

Frequently-used notations.

Notation Description
N, i Set of users and a user.
n Number of users.
T, t Deadline and a time slot.
L, lj Set of locations and the j-th location.
Njt Set of arriving users at a location lj at time slot t.
ci, bi User i’s cost and bidding price.
b˜i User i’s new bidding price for allocation.
cmax, cmin Maximum and minimum cost.
qit, qi, q^i User i’s service quality at time slot t, expected service quality and learned expected service quality.
pit, uit User i’s payment and utility at time slot t.
u0 Utility of the platform.
Sjt Active set of users at location lj at time slot t.
ni User i’s number of being randomly selected.
ri, rit User i’s total observed service quality and observed service quality at time slot t.
bi Others’ bidding prices, except user i.
bi+ User i’s alternate bidding price that is higher than bi.
B Bid vector of all users with bi and bi.
B+ Alternate bid vector of all users with bi+ and bi.
q^it(B), q^it(B+) User i’s learned expected service quality at time slot t with the bid vector B and B+.
Pit(B), Pit(B+) User i’s probability of being selected at time slot t with the bid vector B and B+.