According to Hassey, by the end of 2001, Sears plans to secure franchise partners in California, Michigan, North Carolina, South Carolina, Tennessee, Texas and Virginia, enabling SCUC to provide its Ultra Care System cleaning process, a two-step deep cleaning and clean rinsing method, to more than 75 percent of the U.S.
Franchisees faced with a customer situation which they cannot resolve on their own have access to a full-time SCUC customer service manager certified by the Institute of Inspection, Cleaning and Restoration.
Thus, the objective function of the proposed SCUC is defined as
Therefore, this paper also adopts this solver for the solution of the proposed SCUC problem where the operation cost in objective function given by (15) and constraints (23)-(29) are linearized in accordance with the method proposed in  which is presented in the Appendix.
Simulation studies are carried out to draw comparisons of UC results between the proposed method and method of  to verify the effectiveness and advantage of the proposed SCUC model.
Combining cost-benefit analysis with an improved multiscenario risk analysis method capable of taking into account the load and wind power forecast errors as well as FOR of generators, a novel SCUC model with consideration of wind power spillage is proposed in this paper to determine the optimal amount of SR.
First of all, Section 2 describes the double-level robust SCUC model with optimizable interval of uncertain wind power output.
The double-level robust interval SCUC model determines the allowable wind power generation interval from system security and economy points of view.
Because the lower optimization models (10), (12), (20), and (21) contain the minimum or maximization formulation, the double-level robust interval SCUC model described in Section 2 cannot be solved efficiently.
Then according to the linear duality theory, the double-level robust interval SCUC model described in Section 2 can be transformed into an equivalent single-level and two-stage robust interval SCUC model.
Construction of a Single-Level and Two-Stage Robust Interval SCUC Model.
The specific construction process of the single-level and two-stage robust interval SCUC model can be described as follows.