In this study, we propose a general stochastic ridesharing user equilibrium (SRUE) problem with elastic demand (ED) for urban transportation network analysis with ridesharing activities by extending the deterministic ridesharing user equilibrium (DRUE) problem, which is referred to as the general SRUE-ED problem. We develop a novel variational inequality (VI) model in terms of the Lagrange multipliers corresponding to the ride-matching constraints for the general SRUE-ED problem. The existence and uniqueness of the SRUE-ED solution are demonstrated under mild conditions. We proceed to put up a global convergent method to solve the developed VI model by incorporating the weighted cost averaging (WCA) method. The purpose of WCA method is to solve a parametric fixed-point model formulated for the general SRUE-ED problem without the ride-matching constraints. Finally, we use three numerical examples to provide practical insights into the operation and management of the ridesharing systems and to examine the effectiveness of the proposed model and solution method.

在这项研究中，我们通过扩展确定性拼车用户均衡 (DRUE) 问题，提出了一个具有弹性需求 (ED) 的一般随机拼车用户均衡 (SRUE) 问题，用于城市交通网络分析与拼车活动，这被称为一般 SRUE -ED 问题。我们根据与一般 SRUE-ED 问题的骑行匹配约束相对应的拉格朗日乘数开发了一种新颖的变分不等式 (VI) 模型。在温和条件下证明了 SRUE-ED 溶液的存在性和独特性。我们继续提出一种全局收敛方法，通过结合加权成本平均 (WCA) 方法来求解开发的 VI 模型。WCA 方法的目的是解决为一般 SRUE-ED 问题制定的参数定点模型，而没有乘车匹配约束。最后，我们使用三个数值示例为拼车系统的运营和管理提供实用的见解，并检验所提出的模型和解决方法的有效性。