Open AccessSimulation of the Worst Failure Probability of Sharing Platform under Unknown Demand Distribution
Author(s) -
Changjun Wang,
Xueling Gong
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1746/1/012024
Subject(s) - matching (statistics) , moment (physics) , duality (order theory) , supply and demand , computer science , idle , mathematical optimization , probability distribution , distribution (mathematics) , work (physics) , economics , mathematics , microeconomics , engineering , statistics , mathematical analysis , mechanical engineering , physics , discrete mathematics , classical mechanics , operating system
The sharing economy integrates the idle resources to match the fragmented market demand via the Internet platform. Different from the supply side, the demand is highly uncertain, in which, significant spikes and valleys exist. Therefore, it is assumed that only the statistical characteristics, instead of precise distributions, are known. The matching efficiency of supply and demand in sharing platform is studied. Firstly, a linear programming model under the moment constraints is proposed to describe the worst failure possibility in demand satisfaction. Then, the equivalent semi-infinite program is developed by Lagrange duality, and the analytical expression of the worst failure probability can be given. Finally, simulation study is implemented. This work not only riches the studies of moment-based bound, but also provides the managerial insights to the demand management of the sharing platform in the uncertain setting.