2021
DOI: 10.1007/s10696-021-09421-y
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Mathematical models for mobile network member’s coordination through coverage development-based contract

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“…Let 𝐷 𝐵,1 (𝑝 𝐵,𝑘,1 ) = (1 − 𝛼)𝑟r 0 𝑎 1 − 𝑏(𝑝 𝐵,𝑘,1 − 𝑝 𝐴,𝑘,1 ) − 𝑐(𝑝 𝐵,𝑠𝑖𝑚,1 − 𝑝 𝐴,𝑠𝑖𝑚,1 ) + 𝑑(𝑞) and 𝐷 𝐵,2 (𝑝 𝐵,𝑘,2 ) = (1 − 𝛼)𝑟r 0 𝑎 2 − 𝑏(𝑝 𝐵,𝑘,2 − 𝑝 𝐴,𝑘,2 ) − 𝑐(𝑝 𝐵,𝑠𝑖𝑚,2 − 𝑝 𝐴,𝑠𝑖𝑚,2 ) + 𝑑(𝑞), where 𝑎 > 0, 𝑏 > 0, 𝑐 > 0, 𝑑 > 0, 𝑎𝑛𝑑 𝑟 0 > 0. Note that 𝐷 𝐵,1 (𝑝 𝐵,𝑘,1 ), 𝐷 𝐵,2 (𝑝 𝐵,𝑘,1 ) > 0 is always satisfied (Amrouche et al, 2020;Fander and Yaghoubi, 2021b).  Energy costs are included in the operating cost (Wang, Yu, and Shen, 2019).…”
Section: Problem Descriptionmentioning
confidence: 99%
“…Let 𝐷 𝐵,1 (𝑝 𝐵,𝑘,1 ) = (1 − 𝛼)𝑟r 0 𝑎 1 − 𝑏(𝑝 𝐵,𝑘,1 − 𝑝 𝐴,𝑘,1 ) − 𝑐(𝑝 𝐵,𝑠𝑖𝑚,1 − 𝑝 𝐴,𝑠𝑖𝑚,1 ) + 𝑑(𝑞) and 𝐷 𝐵,2 (𝑝 𝐵,𝑘,2 ) = (1 − 𝛼)𝑟r 0 𝑎 2 − 𝑏(𝑝 𝐵,𝑘,2 − 𝑝 𝐴,𝑘,2 ) − 𝑐(𝑝 𝐵,𝑠𝑖𝑚,2 − 𝑝 𝐴,𝑠𝑖𝑚,2 ) + 𝑑(𝑞), where 𝑎 > 0, 𝑏 > 0, 𝑐 > 0, 𝑑 > 0, 𝑎𝑛𝑑 𝑟 0 > 0. Note that 𝐷 𝐵,1 (𝑝 𝐵,𝑘,1 ), 𝐷 𝐵,2 (𝑝 𝐵,𝑘,1 ) > 0 is always satisfied (Amrouche et al, 2020;Fander and Yaghoubi, 2021b).  Energy costs are included in the operating cost (Wang, Yu, and Shen, 2019).…”
Section: Problem Descriptionmentioning
confidence: 99%