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灰色预测模型和马尔柯夫预测模型是两类应用比较广泛的预测方法，由于处理数据序列的方式不同，它们具有不同的特点。本文根据灰色系统理论，将ＧＭ（１，１）灰色预测模型和马尔柯夫预测模型的优点结合起来，形成一个灰色马尔柯夫预测模型。该模型不仅拓宽了灰色预测的应用范围，而且预测结果比其它随机波动性较大的数据列模型的预测结果精确得多。利用该模型对电潜泵工作寿命进行预测，取得了令人满意的效果；结果证明，该方法简单，精度高，实用性强。
Gray prediction model and Markov prediction model are two kinds of widely used prediction methods. They have different characteristics due to different ways of processing data series. Based on the gray system theory, this paper combines the advantages of GM (1,1) gray prediction model and Markov prediction model to form a gray Markov forecasting model. The model not only broadens the application scope of gray prediction, but also predicts more accurately than other data model with more random fluctuations. The model is used to predict the service life of ESP. The results show that the method is simple, accurate and practical.