以雙層次數學規劃建構旅客需求導向之票價設計模式-以台灣高鐵為例

張亦寬

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以雙層次數學規劃建構旅客需求導向之票價設計模式-以台灣高鐵為例

Application of Bi-Level mathematical algorithms to establish a demand responsive pricing method for Taiwan High Speed Rail

張亦寬 , Masters　　Advisor：李治綱　　

繁體中文

差別定價、雙層次數學規劃、巢式羅吉特、敏感度分析； Bi-Level Programming ； Nested-Logit Model ； Sensitivity Analysis ； Pricing

Abstract │ Reference (25) │ Times Cited (17) │ Altmetrics

Abstract 〈TOP〉

Parallel Abstract 〈TOP〉

Taiwan high-speed rail (HSR) is about 350 kilometers long, located on the western corridor with 80% population of Taiwan, and will commercially operate in 2005. Since the proportion of fixed cost for a HSR line is very high, marketing and revenue decisions are very important for driving profitability. In order to keep supply suitable to market demand, the HSR line may like to design its service plan twice a year or seasonally, and examine its price plan seasonally or monthly. In making a service or price plan, we must have to consider most elements in the product line together, with regard to passengers’ decision of a door-to-door travel.
　　In order to simplify the problem, we want to establish a demand responsive pricing method for the product-line of Taiwan high speed rail. We consider both the operator and the passenger’s objectives, and their leader-follower and non-cooperative relationship. In a bi-level program, a pricing model of the operator is the upper-level problem, and a demand model of the passenger is the lower-level problem. In the upper-level problem, operator can use the price discrimination method to get maximum profit, but should be restricted by the government In the lower-level problem, passengers’ service choice is formulated as a nested-logit choice function, market competition is represented by a linear demand function, and service capacity is written as a constraint for each service section. 
　　In a numerical case study, we present the results of the price models and their associated demand patterns, and the convergence and sensitivity of the pricing method to model parameters.  The case study shows reasonable and promising results for the flexibility and capability of the pricing method.

Reference ( 25 ) 〈TOP〉

13. 鄭力寬，應用雙層次數學規劃於鐵路定價之研究，國立成功大學交通管理研究所碩士論　文，民國92年。
連結：
17. Ben-Ayed, O., Boyce, D. E. and Blair, C. E., “A General Bilevel Linear 　　　Programming Formulation of the Network Design Problem,” Transportation 　　　　Research, Vol. 22B, pp. 311-318, 1988.
連結：
21. Pigou, A. C., ”The Economics of Welfare,” London : Macmillan, 1920.
連結：
23. Tobin, R. L., ”Sensitivity Analysis for Variational Inequalities,” Journal 　of Optimization Theory and Applications, Vol. 48, No. 1, pp. 191-204, 1986.
連結：
24. Tobin, R. L. and Friesz T. L.,“Sensitivity Analysis for Equilibrium Network 　Flow”, Transportation Science, Vol. 48, No. 1, pp. 242-250, 1988.
連結：

Times Cited (17) 〈TOP〉

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