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INFORMS Nashville – 2016

342

3 - V-shaped Sampling Based on Kendall-distance To Enhance

Optimization With Ranks

Haobin Li, Scientist, A*STAR, Institute of High Performance

Computing, 1 Fusionopolis Way, #16-16 Connexis North,

Singapore, 138632, Singapore,

lihb@ihpc.a-star.edu.sg,

Giulia Pedrielli, Loo Hay Lee, Ek Peng Chew, Chun-Hung Chen

Optimization over rank values has been of concern in multi-fidelity simulation

optimization. Specifically, Chen et al. (2015) proposes the concept of Ordinal

Transformation (OT) to translate multi-dimensional discrete optimization

problems into simpler single-dimension problem, where the dimension being

used is the rank in the ordinal space. In this paper we build on the idea of OT in

order to derive an efficient sampling algorithm to identify the solution with the

best rank in the settings of multi-fidelity optimization. We refer to this algorithm

as V-shaped, in which the concept of Kendall distance adopted in the machine

learning theory, is used to characterize solutions in the OT space.

4 - Bicycle-sharing With Reallocation Trucks And Private Exchange

Taipei YouBike System as Example

Hui-Chih Hung, National Chiao Tung University, Hsin-Chu, 300,

Taiwan,

hhc@nctu.edu.tw,

Jun-Min Wei, Ming-Te Chen

Subject to limited numbers of bicycles and docks, we consider trucks for bicycle

reallocation and mobile apps for private exchange in bicycle-sharing systems.

Trucks are hired to dynamically redistribute bicycles among unbalanced stations

and mobile apps are used to transfer bicycles among users without docks. This

allows bicycle exchange even when all docks are full. Three objectives are

studied: (1) maximizing the utilization of bicycles, (2) maximizing the net profit

of system, and (3) optimizing the fleet sizes of bicycles and trucks. Finally,

mathematical programming models are built and real data of Taipei YouBike

system from 2013 to 2015 are adopted for numerical study.

TD26

110B-MCC

Spectrum Auction

Invited: Auctions

Invited Session

Chair: Oleg Baranov, University of Colorado at Boulder, 256 UBC,

University of Colorado, Boulder, CO, 80309, United States,

oleg.baranov@colorado.edu

1 - Efficient Dynamic Auction For U-shaped Returns

Oleg Baranov, Colorado,

Oleg.Baranov@Colorado.edu

When bidders have decreasing returns, the efficient dynamic auction is well-

known. Recently, Baranov et al. (2016) described an efficient dynamic auction for

bidders with increasing returns. In this paper, we design an efficient auction for

bidders with single-peaked returns. For auctions to buy, our setting includes one

of the most typical cost structures in economics. For auctions to sell, our setting is

a good approximation for single-band spectrum auctions.

2 - Obtaining The Final Channel Assignment In The Federal

Communications Commission’s First-ever Incentive Auction

Karla L Hoffman, Professor, George Mason University, Mail Stop

4A6, 4400 University Drive, Fairfax, VA, 20124, United States,

khoffman@gmu.edu,

Brian Smith, Steven Charbonneau,

James Costa, Tony Coudert, Rudy Sultana

In this talk, we will discuss the procedure for determining the Final Channel

Assignment for U.S. and Canadian broadcasters at the conclusion of the

“Incentive Auction.” The FCC is utilizing a sequence of optimizations to create a

channel assignment that will be the least disruptive to both broadcasters and the

over the air television viewers. We will outline this sequence and explain how

this sequence satisfies the objectives of the FCC, Industry Canada and

broadcasters.

3 - Determining The Stations Not Needed In The Federal

Communication Commission’S First-ever Incentive Auction

Karla L Hoffman, George Mason University, System Eng and

Operations Research Dept, 4400 University Drive Mailstop 4a6,

Fairfax, VA, 22030, United States,

khoffman@gmu.edu

,

James Andrew Costa, Steven Charbonneau, Anthony Coudert,

Brian Smith, Rudy K Sultana

The FCC uses a novel descending-price auction to determine the spectrum to be

purchased from broadcasters. The auction is designed for stations to compete until

there are no channels available in the market. If a station always has a channel

available, they are not needed in the auction. An optimization procedure was

used to determine whether a station always had a channel available, and

therefore had no chance of winning in the auction.

4 - Combinatorial Land Assembly

Tzu-Yao Lin, University of Maryland,

LinT@econ.umd.edu

We propose a reverse auction for real estate developers to acquire complementary

urban lands from multiple owners. Apart from the all-or-nothing mechanisms in

the previous literature, we determine the set of land parcels to be assembled in a

descending clock auction, which gradually lowers the offer to each remaining

owner until the trading condition is met. This mechanism is obviously

strategyproof for sellers. The optimal price adjustment trajectory is a solution for

the corresponding stochastic optimal control problem, which minimizes the

expected welfare loss from inefficient rejection.”

TD27

201A-MCC

Stochastic Modeling In Healthcare Operations

Sponsored: Manufacturing & Service Oper Mgmt

Sponsored Session

Chair: Carri Chan, Columbia Business School, New York, NY,

United States,

cwchan@columbia.edu

Co-Chair: Vahid Sarhangian, Columbia Business School, New York, NY,

United States,

vs2573@columbia.edu

1 - Identify Optimal Overflow Policies Using Approximate

Dynamic Programming

Pengyi Shi, Purdue University,

shi178@purdue.edu,

Jim Dai

To alleviate Emergency Department congestion, boarding patients who wait to be

admitted to inpatient wards may have to be overflowed to a non-primary ward

when they wait too long. We develop approximate dynamic programming tools

to identify the optimal overflow policies under different system states.

2 - Yardstick Competition For Emergency Department Queues

Ozlem Yildiz, University of Rochester, Rochester, NY, United States,

ozlem.yildiz@simon.rochester.edu,

Nicos Savva, Tolga Tezcan

We study whether an alternate pay-for-performance method can alleviate ED

overcrowding through incentivizing socially-desired ED capacity levels, although

the healthcare regulator does not know the capacity cost structure. Using

yardstick competition, we propose a regulatory scheme that achieves this using

the wait time and arrival rate information of each ED.

3 - Timing Of Hospital Discharges Matters

Jonathan Helm, Indiana University,

helmj@indiana.edu

,

Rene Bekker

The mismatch in timing of arrivals and discharge processing in hospitals leads to a

census process that causes the hospital to experience significant congestion in the

middle of the day. This leads to a chaotic environment and major operational

efficiencies. In this research we formulate and analyze a stochastic census process

to investigate the effect of the timing of doctor’s discharge processing on inpatient

census levels and identify new approaches to discharge processing that can

alleviate congestion and also provide benefits to the patients being discharged

themselves.

4 - Dynamic Server Allocation In A Multiclass Queueing System With

Shifts: Nurse Staffing In Emergency Departments

Vahid Sarhangian, Columbia Business School, New York, NY,

United States,

vs2573@columbia.edu,

Carri Chan

Nurse staffing decisions in emergency departments (EDs) are typically assigned

weeks in advanced, which can create staffing imbalances as patient demand

fluctuates. In this work, we consider the potential benefits of assigning nurses to

different areas within an ED at the beginning of each shift. We study the problem

of optimal reassignment of nurses to areas by considering a multiclass queueing

model of the system. We analyze an associated fluid control problem and use the

solution to develop policies that achieve asymptotically optimal performance

under fluid-scaling for the original stochastic system. We find this additional

flexibility can substantially reduce waiting times for patients.

TD26