Variational Inequality Given a subset $K$ of the Euclidean $n$-dimensional space $\mathbb{R}^{n}$ and a mapping $F: K \rightarrow \mathbb{R}^{n}$, the variational inequality, denoted $\text{VI}(K, F)$, is to find a vector $x \in K$ such that $$ (y-x)^{T} F(x) \geq 0, \quad \forall……
Exact Dynamic Programming Deterministic Dynamic Programming A deterministic DP problem involves a discrete-time dynamic system of the form $$ x_{k+1} = f_k(x_k, u_k), \quad k = 0, 1, \dots, N-1 $$ where $k$ is the time index $x_k$ is the state of……
发表在 Management Science, 2021. DOI: https://doi.org/10.1287/mnsc.2020.3712. Special Section of Management Science: 65th Anniversary. 收益管理的历史 The Early Days: 1970s to Early 1990s 收益管理起源于美国的航空业……
发表于 Management Science, 2016. DOI: http://doi.org/10.1287/mnsc.2015.2204. Keywords: inventory management; inventory pooling; demand uncertainty; heavy-tailed distributions Area of review: operations management This paper considers a classic multilocation newsvendor setting following Eppen (1979), where the demand distribution is heavy tailed rather than……