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This study presents a novel stochastic multi-objective model for precise scheduling of energy and reserve services in day-ahead markets. This model is based on a security-constrained market clearing with an emphasis on preservation of system frequency. A frequency index that is derived from the total system frequency profile during post-contingency intervals has been defined as an extra objective function to control system frequency after the occurrence of a contingency. The model is capable of scheduling the tertiary regulation interval through appropriate generators' reference power setting instructions made by the ISO based on participants' bids for energy and reserve services. The reference power settings are obtained by an optimisation model and can be performed directly by the speed changers. The load dependency on frequency has also been analysed in the proposed model. This approach could be used by ISOs to make a trade-off concurrently between system frequency profile and total operating cost to operate the power system securely in an economically efficient manner. The developed multi-objective programming is analysed through two case studies; a three-bus system scheduled over 1 h and the IEEE 24-bus reliability test system over 24 h, solved by means of mixed-integer linear programming methods.