作者：Baccelli, F; Zuyev, S
作者单位：Inria; Universite PSL; Ecole Normale Superieure (ENS); University of Strathclyde
摘要：We define a family of random trees in the plane. Their nodes of level k, k = 0,..., m are the points of a homogeneous Poisson point process Pi(k), whereas their arcs connect nodes of level k and k + 1, according to the least distance principle: If V denotes the Voronoi cell w.r.t. Pi(k+1) with nucleus x, where x is a point of Pi(k+1), then there is an are connecting x to all the points of Pi(k) that belong to V. This creates a family of stationary random trees rooted in the points of Pi(m). Th...
作者：Bassok, Y; Anupindi, R; Akella, R
作者单位：University of Washington; University of Washington Seattle; Northwestern University; Stanford University
摘要：We study a single period multiproduct inventory problem with substitution and proportional costs and revenues. We consider N products and N demand classes with full downward substitution, i.e., excess demand for class i can be satisfied using product j for i greater than or equal to j. We first discuss a two-stage pra fit maximization formulation for the multiproduct substitution problem. We show that a greedy allocation policy is optimal. We use this to write the expected profits and its firs...
