A sharp bound for the ergodic distribution of an inventory control model under the assumption that demands and inter-arrival times are dependent

作者：H****ioglu Tahir; Aksop Cihan^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014, 2014(1): 75.

DOI：10.1186/1029-242X-2014-75

• dependence
• ergodic distribution
• inventory model of type (s, S)

In this study, a stochastic process which represents a single-item inventory control model with (s, S)-type policy is constructed when the demands of a costumer are dependent on the inter-arrival times between consecutive arrivals. Under the assumption that the demands can be expressed as a monotone convex function of the inter-arrival times, it is proved that this process is ergodic, and closed form of the ergodic distribution is given. Moreover, a sharp lower bound for this distribution is obtained.

• 出版日期2014-2-13