Abstract:Based on the fact that many realistic leasing problems are online leasing of continuous separable property, this paper discussed the optimal solution to continuous and separable property-leasing problem by using of the competitive analysis method. Firstly, the strategy of controlling risk is proposed in accordance with the continuous separability of the property. Secondly, applying the theory of competitive analysis, it is proved that the controlling risk strategy is the unique optimal strategy for the online leasing problem, and the optimal competitive ratio is obtained. Moreover, this strategy also provides us with great convenience in practical applications by using the formulas to calculate purchasing and leasing values during every renting term. Finally, the optimal competitive performance of the strategy of this controlling risk is discussed and illustrated by numerical analysis.