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INFORMS Philadelphia – 2015

407

2 - Redesign of Vaccine Distribution Networks in Low and Middle-

income Countries

Jung Lim, Ph. D. Candidate, University of Pittsburgh,

1048 Benedum hall, 3700 O’hara st., Pittsburgh, PA, 15261,

United States of America,

gljace@gmail.com

, Bryan Norman,

Jayant Rajgopal

In many low and middle income countries, vaccines are distributed through a

legacy medical supply chain, which is typically not cost-efficient. In order to

improve vaccine distribution, redesigning the vaccine supply chain is considered,

which includes: choosing intermediate hub locations, determining flow paths and

vehicles for each flow path, and selecting storage devices for each location. We

develop a mixed-integer optimization model and also suggest heuristic methods

for larger problems.

3 - Optimal Two-phase Vaccine Allocation to Geographically Different

Regions under Uncertainty

Hamed Yarmand, Umass Boston, College of Management,

University of Massachusetts Boston, Boston, MA, 02125,

United States of America,

hamed.yarmand@umb.edu,

Brian Denton, Alun Lloyd, Julie Ivy

We consider a two-phase vaccine allocation policy which is formulated as a two-

stage stochastic linear program (2-SLP) and then reduced to a linear program

with a similar size to that of the first stage problem. We also present a

Newsvendor model formulation of the problem which provides a closed form

solution for the optimal allocation. Numerical results for seasonal influenza in

North Carolina show a considerable reduction in the attack rate and vaccination

cost.

4 - Joint Optimization of Vaccine Clinic Locations and Outreach Trips

under Various Constraints

Maryam Hasanzadeh Mofrad, University of Pittsburgh, 1048

Benedum Hall, Pittsburgh, 15261, United States of America,

hasanzadeh.mofrad@gmail.com,

Bryan Norman, Jayant Rajgopal,

Lisa Maillart

We investigate the tradeoffs involved with establishing (additional) healthcare

clinics versus conducting outreach trips to vaccinate patients in remote locations.

Given a network of population centers, we develop a mixed integer linear

programming model to minimize cost over a specified period of time subject to

constraints on coverage, trip distance, trip size, trip frequency and patient travel.

WB22

22-Franklin 12, Marriott

Queueing Models for Manufacturing and

Service Systems

Cluster: Stochastic Models: Theory and Applications

Invited Session

Chair: Tugce Martagan, Eindhoven University of Technology, 5600 MB

Eindhoven, Eindhoven, Netherlands,

T.G.Martagan@tue.nl

1 - Delay Announcement for Admission Control under Competition

Siddharth Prakash Singh, PhD Candidate, Tepper School of

Business, Carnegie Mellon University, 5000 Forbes Avenue,

Pittsburgh, PA, United States of America,

sps1@andrew.cmu.edu

,

Mohammad Delasay, Alan Scheller-wolf

We study queueing models of two competing service providers, e.g., emergency

departments or restaurants, where one of the service providers, the “participant,”

is capable of announcing its delay information to customers by incurring some

cost. We characterize conditions under which the participant could benefit by

making real-time announcements, while the other provider continues not to

disclose delay information.

2 - Sourcing Strategies for Assembled Products under Information

Leakage and Competition

Ashesh Kumar Sinha, University of Wisconsin-Madison, 1402

Regent St, Apt. 731C, Madison, WI, 53711, United States of

America,

asinha4@wisc.edu,

Ananth Krishnamurthy

We analyze a multi-period decentralized assembly system where a product is

assembled from multiple components sourced from vendors. The assembler

provides the pricing scheme to the vendor whereas the vendor determines the

production quantity for each component. Using stochastic games, we analyze

tradeoffs and determine sourcing strategies to mitigate risks of divulging product

knowledge while meeting costs and service level objectives.

3 - Simultaneous Buffer and Service Rate Allocation in Open Finite

Queueing Networks

James Smith, University of Massachusetts Amherst,

jmgsmith@acad.umass.edu

Simultaneous buffer and service rate allocation in finite queueing networks is an

NP-Hard optimization problem. We utilize an efficient performance algorithm

combined with a mixed integer sequential quadratic programming algorithm

algorithm to solve a number of open network design problems involving series,

split, and merge topologies.

4 - On the Many-servers Queues under SJF Discipline

Amir Motaei, PhD Student, University of florida, Department of

Industrial and Systems Eng, 303 Weil Hall, P.O. Box 116595,

Gainesville, FL, 32611-6595, United States of America,

motaei@ufl.edu

We are studying the G/GI/n under the Shortest-Job-First(SJF) discipline in the

Halfin-Whitt regime. Process-level convergence of the number of customers in

the system is established in terms of the limit of corresponding infinite-server

model. This is accomplished by relating G/GI/n under SJF to a family of two class

priority queuing systems where within each class the arrival to service happens

according to a FCFS discipline.

WB23

23-Franklin 13, Marriott

Modern Market Microstucture: Stochastic Models of

Limit Order Books

Sponsor: Applied Probability

Sponsored Session

Chair: Costis Maglaras, Columbia Business School, New York, NY,

10027, United States of America,

c.maglaras@gsb.columbia.edu

Co-Chair: Ciamac Moallemi, Columbia Business School, 3022

Broadway, Uris Hall, New York, United States of America,

ciamac@gsb.columbia.edu

1 - Optimal Execution in a Limit Order Book and an Associated

Microstructure Market Impact Model

Hua Zheng, Columbia University, 3022 Broadway, New York,

United States of America,

hzheng14@gsb.columbia.edu,

Costis Maglaras, Ciamac Moallemi

We model an electronic limit order book as a multi-class queueing system under

fluid dynamics, and formulate and solve a problem of limit and market order

placement to optimally buy a block of shares over a short, predetermined time

horizon. We use structure of the optimal policy to identify microstructure

variables that affect short-term costs and propose a microstructure-based market

impact model. Analysis of a proprietary dataset highlights its increased accuracy

over macroscopic models.

2 - A Closed-form Execution Strategy to Target Vwap

Sebastian Jaimungal, University of Toronto,

Department of Statistical Sciences, Toronto, ON, Canada,

sebastian.jaimungal@utoronto.ca,

Alvaro Cartea

We provide two explicit closed-form optimal execution strategies to target VWAP.

We do this under very general assumptions about the volume process, and

account for permanent price impact stemming from all agents. The first strategy

consists of TWAP adjusted upward by instantaneous order-flow and adjusted

downward by expected future order-flow. The second strategy consists of the

Almgren-Chriss execution strategy adjusted by expected volume and net order-

flow during the life of the strategy.

3 - Hydrodynamic Limit of Order Book Dynamics

Xuefeng Gao, Assistant Professor, The Chinese University of Hong

Kong,

xfgao@se.cuhk.edu.hk

, J. G. Dai, Ton Dieker, Shijie Deng

We study the temporal evolution of limit order book shape on the macroscopic

time scale, motivated by a desire to better understand the interplay among order

flows, order book shape and price impact. Our main result states that in the

scaling regime where time goes to infinity and price tick size goes to zero, a pair of

measure-valued processes representing the sell side shape and buy-side shape of

an order book converges weakly to a pair of deterministic measure-valued

processes.

WB23