It always must guarantee preceding process of the transaction with the higher priority in real-time database systems. The pessimistic concurrency control method resolves a conflict through aborting or blocking of a low priority transaction. However, if a high priority transaction is eliminated in a system because of its deadline missing, an unnecessary aborting or blocking of a low priority transaction is occurred. In this paper, the proposed method eliminates a transaction that is about to miss its deadline. And it prevents needless wastes of resources and eliminates unnecessary aborting or blocking of a low priority transaction. It is shown through the performance evaluation that the proposed method outperforms the existing methods in terms of the deadline missing ratio of transactions.