Background A small proportion of the population consumes the majority of health care
resources. High-cost health care users are a heterogeneous group. We aim to segment a …

Results The power of the model lies in the user's ability to aggregate the data by population
segments and compare healthcare resource utilization by different geographic regions …

… ) g h , i , ω T ω + ∑ c , i I c G c , i + ∑ c , i , ω ( O c + E c δ y ) g c , i , ω e T ω + ∑ j I j Γ j + ∑
n I g G g a s , n + ∑ k I p l k Λ k + ∑ n , ω ( O g + E g a s δ y ) g g a s , n , ω T ω + ∑ i , ω ( V O L …

… where RM is the percentage of reserve margin required and PL(y) is the peak load in year
y. 5) Capacity factor: The generating units are not always available at their nominal capacity …

… it Y-path—to y, where the binary variables x i,j and y i,j encode whether there is an X or Y-…
The integrality requirements guarantee that x and y variables each result in exactly one path…

… where y is the vector of system variables, H(yk) is the Hessian of the Lagrangian function
evaluated at the point yk, 1yk is the pure Newton step, and F(yk)is the mismatch vector …

This paper introduces the cumulant method for the P-OPF problem and compares the
cumulant method and first-order second-moment method (FOSMM). It is shown that for some …

… where Cs is a vector of supply bids in $/MWh; SL is bus the distribution of Y but only in an …
when Y is a linear with line current Iij and Iji thermal limits and bus voltage function of X. If Y is …

… A 1-MVA NGDG is added to bus two and pipe y N G S , 2 is required to transport NG to node
two. This reduces the flow rate in y N G S , 4 and y N G S , 6 , and consequently the pressure …

… where x is the decision or control variables and y is the state variables. The equality constraints
g(x, y) are the standard AC power flow equations and both the control and state variables …