经济与管理学院-智能决策与风险分析研究所与国际交流处联合举办
Optimal Joint Replenishment and Proactive
Transshipment Policies in a Multi-Period Inventory
System
By
Hossein Abouee Mehrizi
Canada Research Chair in Healthcare Operations Management
Assistant Professor, Department of Management Sciences
University of Waterloo, Canada
Phone： (519) 888-4567(x35240)
Email: [email protected]
Homepage: http://www.mansci.uwaterloo.ca/~haboueem/
报告时间与地点：9月10日2：00--3：30，将军路校区经管院报告厅704
Dr. Hossein Abouee Mehrizi 2011年从加拿大多伦多大学ROTMAN商学院获得他的博士学位
。2011年至今在加拿大滑铁卢大学管理科学系任教，是管理科学系唯一的一名 Canada
Research Chair。Dr. Hossein Abouee Mehrizi来访的主要原因是想吸引优秀学生跟随他学习和
工作，他将提供奖学金。尽管任教时间很短Dr. Hossein Abouee Mehrizi已经在Operations
Research ， Mathematical Methods of Operations Research ， Manufacturing & Service
Operations Management ， Decision Sciences ， Journal of Operational Research Society,
Transportation Science，Health Care Management Science，Naval Research Logistics，Journal
of Industrial and Systems Engineering，International Journal of Science and Technology等国际
著名刊物上发表多篇论文。
Publications
1. Abouee-Mehrizi, H., O. Berman, S. Sharma 2015. “Optimal Joint Replenishment and Proactive
Transshipment Policies in a Multi-Period Inventory System", Operations Research Vol. 63, 342–350.
2. S. Sadat, Abouee-Mehrizi, H., M. Carter 2015. “Can Hospitals Compete on Quality?", Health Care
Management Science (Forthcoming).
3. Abouee-Mehrizi, H., O. Baron, O. Berman 2014. “Exact Analysis of Capacitated Two-Echelon
Inventory Systems with Priorities", Manufacturing & Service Operations Management Vol. 16, 561–577.
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4. Abouee-Mehrizi, H., O. Berman, M. R. Baharnemati 2014. “Designing Production-InventoryTransportation Systems with Capacitated Cross-docks and Suppliers", Transportation Science, Vol. 48,
121–135.
5. Abouee-Mehrizi, H., B. Balcioglu, O. Baron 2012. “Strategies for a Single Product Multi-Class
M/G/1 Queueing System", Operations Research, Vol. 60, 803–812.
6. Berman, O., N. Sanajian, H. Abouee-Mehrizi 2012. “Do Shareholders Really Prefer Their executives
to maximize the Equity Value? A Newsvendor Case", Decision Sciences, Vol. 43, 395–436.
7. Abouee-Mehrizi, H., O. Berman, H. Shavandi, and A. G. Zare 2011. “Joint Queueing Inventory
Problem in a Three-Echelon Supply Chain", Naval Research Logistics, Vol. 58, 713–730.
8. Abouee-Mehrizi, H., S. Babri, O. Berman, H. Shavandi 2011. “Optimizing Capacity, Pricing and
Location Decisions on a Congested Network with Balking", Mathematical Methods of Operations Research,
Vol. 74, 233–255.
9. Sanajian, N., H. Abouee-Mehrizi, B. Balcioglu 2010. “Scheduling Policies in the M/G/1 Make-toStock Queue", Journal of Operational Research Society, Vol. 61, 115–123.
10. Mahlooji, H., H. Abouee-Mehrizi, A. Farzan 2009. “Fast Generation of Deviates for Order Statistics
by an Exact Method", Journal of Industrial and Systems Engineering, Vol. 2, 288–296.
11. Mahlooji, H., A. Eshragh Jahromi, H. Abouee-Mehrizi, N. Izadi 2008. “Uniform Fractional Part: a
Simple Fast method for Generating Ran
Abstract
Mismatch between supply and demand when the uncertainty of the demand is high and the
supply lead time is relatively long such as seasonal good markets can result in high overstocking
and understocking costs. In this paper we propose proactive transshipment as a powerful
mechanism to mitigate the mismatch between the supply and demand. We consider a finite
horizon multi-period inventory system where in each period two retailers have the options to
replenish their inventory from a supplier (if there is any supply) or via proactive transshipment
from the other retailer. Each retailer observes non-negative stochastic demand with general
distribution during the season and incurs overstocking/understocking costs as well as costs for
replenishment and transshipment which may be time dependent. We study a stochastic control
problem where the objective is to determine the optimal joint replenishment and proactive
transshipment policies so as to minimize the total expected cost over the season. We characterize
the structure of the optimal policy, and show that, unlike the known order-up-to level inventory
policy, the optimal ordering policy in each period is determined based on two switching curves.
Similarly, the optimal transshipment policy is also identified by two switching curves. These four
curves together partitions the optimal joint ordering and transshipment polices to eight regions
where in each region the optimal policy is an order-up-curve policy. We demonstrate that the
structure of the optimal policy holds for any known sequence and combination of ordering and
proactive transshipment over time. We also show that in the optimal policy retailers try to share
the risk of the overstocking and understocking costs. We investigate the benefits of transshipment
under different circumstances through a numerical study.
Dr. Hossein Abouee Mehrizi 将基于上述研究，针对如何完成一篇 OR 文章进行报告，相信
这个报告对我们学生和老师都会有很大的帮助。欢迎参加！另外有一场座谈会针对运筹学
的最新发展以及如何培养学生展开。地点时间见下：
2. New Developments of Operations Research
座谈时间与地点：9月10日4：00--5：00将军路校区经管院报告厅706
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