In this paper, we discuss Markovian decision programming with recursive vector-reward andgive an algorithm to find optimal policies. We prove that: (1) There is a Markovian optimal policy for the nonstationary case; (...In this paper, we discuss Markovian decision programming with recursive vector-reward andgive an algorithm to find optimal policies. We prove that: (1) There is a Markovian optimal policy for the nonstationary case; (2) Thereis a stationary optimal policy for the stationary case.展开更多
This paper deals with the continuous time Markov decision programming (briefly CTMDP) withunbounded reward rate.The economic criterion is the long-run average reward. To the models withcountable state space,and compac...This paper deals with the continuous time Markov decision programming (briefly CTMDP) withunbounded reward rate.The economic criterion is the long-run average reward. To the models withcountable state space,and compact metric action sets,we present a set of sufficient conditions to ensurethe existence of the stationary optimal policies.展开更多
Considering a periodic review system where the online seller allows the customers to pay when the products are delivered to them(referred as cash-on-delivery payment scheme in this paper),the authors investigate the s...Considering a periodic review system where the online seller allows the customers to pay when the products are delivered to them(referred as cash-on-delivery payment scheme in this paper),the authors investigate the seller's joint pricing and inventory control policy with a finite planning horizon.In particular,the authors incorporate the customers' possible order cancellation behavior with the cash-on-delivery scheme.It can be proven that the base-stock list price policy is optimal under mild conditions.The authors also analyze the impact of the customers' forward looking behavior on the optimal policy.展开更多
基金The project is supported by National Natural Science Foundation of China
文摘In this paper, we discuss Markovian decision programming with recursive vector-reward andgive an algorithm to find optimal policies. We prove that: (1) There is a Markovian optimal policy for the nonstationary case; (2) Thereis a stationary optimal policy for the stationary case.
基金This paper was prepared with the support of the National Youth Science Foundation
文摘This paper deals with the continuous time Markov decision programming (briefly CTMDP) withunbounded reward rate.The economic criterion is the long-run average reward. To the models withcountable state space,and compact metric action sets,we present a set of sufficient conditions to ensurethe existence of the stationary optimal policies.
基金supported by the National Natural Science Foundation of China under Grant Nos.71201175,71301032,and 71171088Guangdong Natural Science Foundation under Grant Nos.S2011040001069 and S2012040008081Guangdong Educational Bureau Humanity&Social Science Fund under Grant No.2013WYXM0001
文摘Considering a periodic review system where the online seller allows the customers to pay when the products are delivered to them(referred as cash-on-delivery payment scheme in this paper),the authors investigate the seller's joint pricing and inventory control policy with a finite planning horizon.In particular,the authors incorporate the customers' possible order cancellation behavior with the cash-on-delivery scheme.It can be proven that the base-stock list price policy is optimal under mild conditions.The authors also analyze the impact of the customers' forward looking behavior on the optimal policy.
