服務提供商透過提供多元的價格方案來影響消費者對資費的選擇及服務的使用，並進而影響其收入或服務系統的利用率。然由於異質消費群體造成模型分析的複雜度，過去研究對於三部定價方案的最佳設計與管理所知甚少。本研究透過混合整數非線性規劃模型，求解在交通和電信服務中常被使用的三部定價的優化問題。本研究利用GAMS/BARON運算核心和啟發式演算法，求解最佳的三部定價資費並與比較不同定價結構（含複數三部定價方案、單一三部定價方案、雙部定價方案和固定費率方案等）在不同情境下的表現。本研究確認了影響定價方案表現的關鍵因素，並提供實施各種價格方案之適當時機的指南。此外，本研究亦透過啟發式演算法及數值分析探討消費者過度自信對三部定價方案設計的影響，並提出當市場存在非理性消費者時，可協助提高營運績效的建議。

Service providers influence consumers’ tariff choices and service usage by offering diverse price plans, affecting their revenue and service system utilization. However, due to the complexity of model analysis caused by heterogeneous consumer groups, past research has had limited insights into the optimal design and management of the three-part tariff pricing scheme. This study utilizes a mixed-integer nonlinear programming model to address the three-part tariff pricing optimization problem commonly found in transportation and telecommunications services. Employing the GAMS/BARON computing core and metaheuristic algorithms, this study aims to solve the optimal three-part tariff pricing and compare it with various pricing structures (including menu of three-part tariff, single three-part tariff, two-part tariff, and buffet tariff) across different scenarios. Key factors influencing the performance of pricing plans are identified, and guidance is provided on the appropriate timing for implementing different pricing strategies. Additionally, this study explores the impact of consumer overconfidence on the design of the three-part tariff pricing plan through metaheuristic algorithm and numerical analysis, proposing suggestions to enhance operational performance in the presence of irrational consumers in the market.

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