| Summary: | 碩士 === 國立交通大學 === 工業工程與管理系所 === 104 === (Tone & Tsutsui, 2014) proposed Dynamic Network DEA model that analyzes the performance of a set of decisions-making units (DMUs) through a series of processes in a consecutive time periods. A node in the network represents a specific process at a specific time period. There is a set of intermediate indicators “Pass-by” between two adjacent processes and the two nodes are linked by non-directional link. The production system is dynamic since the performance might be changed at different time periods. For a process, there is a set of intermediate indicators “Carry-over” to the next time period and the two nodes are linked by a non-directional link. At each node, the flow-in arc represents a set of input indicators and the flow-out arc represents a set of output indicators. To measure each DMU’s efficiency, we desire to determine the set of weights of all DMUs that are processed in the Dynamic Network. We need to measure the slack of each indicator to be improved so that the DMU could be projected on the efficiency frontier. We propose a linear programming model for the Dynamic Network DEA. In the model, the reduction of inputs and addition of outputs are the main objective to measure the efficiency. The optimal solutions of the slack of each intermediate indicator could be either positive or negative. That depends on the signs of its pair weights and sum of the pair weights is zero. Each intermediate indicator acts as an output indicator to an end node and acts as an input indicator to the other end node. Each intermediate adjust the number of increase or decrease with inputs and outputs and promotion the overall efficiency scale to the frontier. One could have sensitivity analysis of the weight for each indicator.
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