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Reasonable scheduling is the basic guarantee for an integrated energy system (IES) to achieve coordinated and efficient operation of multi-energies. For an IES including electric and thermal loads, a demand response (DR) model based on a compensation mechanism is established in this paper, and scheduling elasticity (SE) of different types of loads is analyzed to guide users to use energies reasonably and economically. On this basis, an optimization model is established for an IES in accordance with the energy consumption and system operation characteristics. In accordance with the dynamic demands of multi-energies, this model aims at meeting all energy demands with the lowest operation cost. It performs the coordinated optimization for the device output power and the power transmission between multienergies. To solve the problems of the complex solving process and long computation time, a global optimization algorithm based on a polynomial response surface (PRS) metamodel is proposed in this paper. The proposed algorithm adopts a response surface method to fit the optimization model and construct a PRS metamodel to estimate the function values instead of the optimization model, thereby avoiding repeatedly calling the original complex objective function and reducing the computation time. The test results verify the effectiveness of the proposed model and algorithm.INDEX TERMS Integrated energy system, metamodel, polynomial response surface, scheduling elasticity.