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
In this paper,we present a new method for finding a fixed local-optimal policy for computing the customer lifetime value.The method is developed for a class of ergodic controllable finite Markov chains.We propose an a...In this paper,we present a new method for finding a fixed local-optimal policy for computing the customer lifetime value.The method is developed for a class of ergodic controllable finite Markov chains.We propose an approach based on a non-converging state-value function that fluctuates（increases and decreases） between states of the dynamic process.We prove that it is possible to represent that function in a recursive format using a one-step-ahead fixed-optimal policy.Then,we provide an analytical formula for the numerical realization of the fixed local-optimal strategy.We also present a second approach based on linear programming,to solve the same problem,that implement the c-variable method for making the problem computationally tractable.At the end,we show that these two approaches are related：after a finite number of iterations our proposed approach converges to same result as the linear programming method.We also present a non-traditional approach for ergodicity verification.The validity of the proposed methods is successfully demonstrated theoretically and,by simulated credit-card marketing experiments computing the customer lifetime value for both an optimization and a game theory approach.展开更多
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.
文摘In this paper,we present a new method for finding a fixed local-optimal policy for computing the customer lifetime value.The method is developed for a class of ergodic controllable finite Markov chains.We propose an approach based on a non-converging state-value function that fluctuates（increases and decreases） between states of the dynamic process.We prove that it is possible to represent that function in a recursive format using a one-step-ahead fixed-optimal policy.Then,we provide an analytical formula for the numerical realization of the fixed local-optimal strategy.We also present a second approach based on linear programming,to solve the same problem,that implement the c-variable method for making the problem computationally tractable.At the end,we show that these two approaches are related：after a finite number of iterations our proposed approach converges to same result as the linear programming method.We also present a non-traditional approach for ergodicity verification.The validity of the proposed methods is successfully demonstrated theoretically and,by simulated credit-card marketing experiments computing the customer lifetime value for both an optimization and a game theory approach.
