with D u ∈ N denoting the demand of user u in terms of number of resource units where ∑ u = 1 U D u = N ru.
We also denote the demand for electricity from all customers on day (n in aleph) as (Dleft( n right) = left[ {d_{1} left( n right),d_{2} left( n right), ldots,d_{h} left( n right), ldots,d_{H} left( n right)} right]) where (d_{h} left( n right)) is the load demand from customers at hour (h in {mathcal{H}}) on day (n).
A feasible flow has to satisfy the capacity restriction principle:, for all, and a traffic conservation law:, for all, where and are given in, is the travel demand related to the given pair, and denotes the travel demand vector.
Also, D = {d i } denotes the transmission demand of v i, where d i ≥ 0, ∀ i.
D=(d 1,d 2,⋯,d m ) denotes the throughput demand vector which defines the set of objectives (QoS) to meet by mobile users.
MRP H denotes the derived demand for milk by processors, MFC H is the marginal cost of the milk producers serving the high quality market and AFC H is the average cost of those producers.
Fig. 8 Hourly charging demands/discharging supplies of EVs under four cases (Positive power denotes the charging demand of EVs. Negative power expresses the discharging supply of EVs) Fig. 9 Hourly exchange power under four cases (Positive power denotes the power delivering from the microgrid to external system. Negative power expresses the power sending from the external system into microgrid).
Users which have the same channel access demand D u are arranged into demand groups G i with i = 1, …, G where G denotes the number of demand groups.
Here ( {D}_i^s ) denotes the total domestic demand of the ith commodity in the sth area, which consists of the intermediate demands ( {displaystyle sum {X}_{ij}^s} ) and the final demand, ( {F}_i^s ).
Then the following equation holds for each sector in each area: {D}_i^s+{E}_i^s+{E}_i^{*s}-{M}_i^s-{M}_i^{*s}+varDelta {N}_i^s={X}_i^s, where ( {D}_i^s={displaystyle sum {X}_{ij}^s}+{F}_i^s. ) Here ( {D}_i^s ) denotes the total domestic demand of the ith commodity in the sth area, which consists of the intermediate demands ( {displaystyle sum {X}_{ij}^s} ) and the final demand, ( {F}_i^s ).
Constraint (6) denotes the acquired market demand.
