Hydroelectric plants require less start-up time and absorb the load in a very short time compared to thermal plants which take longer to prepare the boilers, superheater and the turbine system to take the load. Hydroelectric power plants have the ability to handle rapidly changing loads, but thermal power plants have a slow response. For this reason, it is preferred that hydroelectric plants operate at peak loads and thermal plants as base load plants. To use energy efficiently, the cost must be as low as possible. So the main purpose of power system operation is to generate and transmit energy to meet the load demand of the system with minimal fuel cost and minimal environmental pollution. Say no to plagiarism. Get a tailor-made essay on "Why Violent Video Games Shouldn't Be Banned"? Get an original essay Therefore, hydrothermal programming is necessary. The goal of optimal hydrothermal scheduling is to minimize the fuel cost of thermal plants under the constraints of water availability for hydrothermal plants in a given time period. Long-term coordination is extended from a week to a year or several years. This is used to minimize the cost of the entire system in the long term. The long-term coordination problem becomes very difficult to solve due to its size, time lag (several years), and randomness of water inflows over a long period. Short-term planning for a day or a week is necessary. In the short-term problem, the water load is assumed to be constant since there will be no appreciable change in the water level in the tanks. So, this is quite easy to solve due to its size, time frame (one week). Short-term planning for a day or a week is required, which involves hour-by-hour scheduling of hydroelectric and thermal plants to achieve a minimum production cost for a given period. In this planning problem, it is assumed that the load, hydraulic inflows and availability of the unit are known. Furthermore, the generation unit limits and load demand in the planning interval are known. In the short-term problem, the water load is assumed to be constant since there will be no appreciable change in the water level in the tanks. Several mathematical optimization techniques have been used to solve short-term hydrothermal planning problems [4]. The load cycle, expected water inflow, water load and generation in a hydropower plant, incremental fuel cost of the thermal plant and incremental transmission loss are the various factors on which the economic operation depends of hydrothermal programming. The various methods used for hydrothermal scheduling are the constant hydroelectric generation method, the constant thermal generation method, the maximum hydroelectric efficiency method, and the Kirchmayer method. A large number of researchers have extensively studied the problem of short-term hydraulic scheduling. The main computational techniques used are the maximum principle, variational calculus, dynamic programming and nonlinear programming. In this article, Kirchmayer's method for short-term programming is presented. The proposed method is one of the effective methods to solve the short-term hydrothermal scheduling problem. The goal is to minimize operating costs.