A Two-Echelon Inventory System with a Minimum Order Quantity Requirement
Open Access
- 16 September 2019
- journal article
- research article
- Published by MDPI AG in Sustainability
- Vol. 11 (18), 5059
- https://doi.org/10.3390/su11185059
Abstract
In this paper, we study a two-echelon inventory system with one warehouse and multiple retailers, under the setting of periodic review and infinite horizon. In each period, retailers replenish their stocks from the warehouse, and the warehouse in turn replenishes from an external supplier. Particularly, as stipulated by the supplier, there is a minimum order quantity (MOQ) requirement for the warehouse. That is, the warehouse must order either none or at least as much as the MOQ. To investigate this system analytically, we assume retailers adopt the base-stock policy, and we design for the warehouse a new heuristic ordering policy, called refined base-stock policy, which conforms to the MOQ requirement. Moreover, in the case of shortages, we assume the warehouse adopts a virtual allocation policy, and therefore the orders for individual units are filled in the same order as the original demands at the retailers. To evaluate the long-run average system cost exactly, we present a position-based cost-accounting scheme, in which the cost associated with each unit is assigned to its first position at the warehouse. We also derive lower and upper bounds of the inventory parameters, facilitating the search for the optimal policy that minimizes the long-run average system cost.Keywords
Funding Information
- MOE (Ministry of Education in China) Project of Humanities and Social Sciences (17YJC630120, 17wkpy18)
- National Natural Science Foundation of China (71801231, 71801231, 71902018, 71601033)
This publication has 47 references indexed in Scilit:
- Performance Evaluation of Stochastic Multi-Echelon Inventory Systems: A SurveyAdvances in Operations Research, 2011
- Optimal and Heuristic Echelon (r, nQ, T) Policies in Serial Inventory Systems with Fixed CostsOperations Research, 2010
- ON THE STRUCTURE OF OPTIMAL ORDERING POLICIES FOR STOCHASTIC INVENTORY SYSTEMS WITH MINIMUM ORDER QUANTITYProbability in the Engineering and Informational Sciences, 2006
- Optimal Policies for Multi-Echelon Inventory Problems with Batch OrderingOperations Research, 2000
- Materials coordination in stochastic multi-echelon systemsEuropean Journal of Operational Research, 1996
- A Multiechelon Inventory Model with Fixed Replenishment IntervalsManagement Science, 1996
- Computational Issues in an Infinite-Horizon, Multiechelon Inventory ModelOperations Research, 1984
- Allocation policies and cost approximations for multilocation inventory systemsNaval Research Logistics Quarterly, 1984
- Approximations of Dynamic, Multilocation Production and Inventory ProblemsManagement Science, 1984
- Optimal Policies for a Multi-Echelon Inventory ProblemManagement Science, 1960