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INFORMS Nashville – 2016

496

2 - Modeling Medical Overpayments Using Truncated Distributions

Babak Zafari, Babson College, Babson, MA, United States,

zafari.babak@gmail.com

In this work, we explore some new methods used in overpayment extrapolations

and compare their performance to existing models.

3 - Procurement Models For Clinical Supplies: Indian Context

Bhavin J Shah, Associate Professor, Indian Institute of

Management, Indore, Faculty Office # C-206, First Floor,,

Prabandh Shikhar, Rau-Pithampur Road,, Indore - Madhya

Pradesh, 453556, India,

bhavinj@iimidr.ac.in

, Hasmukh Gajjar

This paper seeks to understand and explore applications of procurement models

followed in sourcing clinical supplies to reduce cost of healthcare in Indian

hospitals. It aims at improving efficiency of healthcare delivery without sacrificing

service levels and explore various alternatives such as forming cross-functional

collaborative teams comprising clinicians and sourcing experts for operational

improvements.

4 - A Multiple Criteria Decision Tree Algorithm For Selecting Breast

Cancer Treatment

Mostafa Hasan, Research Assistant, Wichita State University,

1629 N Fairmount St, Wichita, KS, 67208, United States,

mhasann16@yahoo.com

, Esra Buyuktahtakin, Elshami Elamin

According to the American Cancer Society, 246,660 new cases will be diagnosed

with invasive breast cancer and approximately 40,450 women will die in the

United States in 2016. To deal with the complexity, a decision support system is

proposed combining MCDM techniques and decision trees. We then propose a

detailed algorithm which will evaluate each factor and condition of the breast

cancer patients in order to determine the best treatment alternatives.

WE38

206A-MCC

General Session III

Contributed Session

Chair: Seyedali Mirzapour, PhD Student, Wichita State University,

1845 Fairmount St., Wichita, KS, 67260, United States,

mirzapour.ie@gmail.com

1 - Modeling And Performance Evaluation Of Bernoulli Transfer Lines

With Batch Processors

Feiyi Yan, Northwestern Polytechnical University, 127 West Youyi

Road, Xi’an, China,

pacpos.fyyan@gmail.com

, Jun-Qiang Wang

This paper focuses on analytical methods for performance evaluation of transfer

lines with Bernoulli unreliable batch processors and finite buffers. Each machine

has a limited capacity to process a batch of parts simultaneously. Three different

analytical models of production lines with two batch processors are established.

The modulo n congruence class theory is introduced to depict the system state of

the Markov chain and to prove the ergodicity condition. An aggregation method

is proposed to analyze a general Bernoulli transfer lines. Numerical experiments

are conducted to verify the accuracy of the proposed methods. The impact of

machine capacity on system performance is analyzed.

2 - A New Relaxation Method For Mathematical Program With

Complementarity Constraint

Tangi Migot, IRMAR-INSA, Rennes, France,

tangi.migot@gmail.com

, Jean-Pierre Dussault, Mounir Haddou

p { margin-bottom: 0.25cm; line-height: 120%; } Recent progress on optimality

conditions for MPCC allows to build efficient relaxation methods starting from

Kadrani et al. in 2009. We will present an overview on these methods and discuss

both the properties of the sequence of non-linear program (NLP) generated by

these algorithms and the weakest conditions needed to ensure convergence of the

methods. We will also present a new method with improved properties on the

sequence of NLP, which provides a certificate when the method converges to

undesirable points. We run a numerical comparison of these methods on a large

number of test problems.

3 - Leaf Trajectory Optimization For Dynamic Delivery Of

Intensity-modulated Radiotherapy Plans

Seyedali Mirzapour, PhD Student, Wichita State University,

1845 Fairmount St., Wichita, KS, 67260, United States,

mirzapour.ie@gmail.com

, Ehsan Salari

In intensity-modulated radiotherapy, a multi-leaf collimator (MLC) consisting of

rows of paired leaves, is used to dynamically modulate the shape and intensity of

radiation beams. Traditionally, unidirectional leaf sweeping schemes have been

considered for dynamic beam modulation. In this research, we investigate the

potential gain in plan quality and efficiency obtained from allowing for a free

movement of MLC leaves.

WE39

207A-MCC

Applied Probability and Economics II

Sponsored: Applied Probability

Sponsored Session

Chair: Krishnamurthy Iyer, Cornell University, 225 Rhodes Hall, Ithaca,

NY, 14853, United States,

kriyer@cornell.edu

1 - The Magician’s Shuffle: Re-using Lottery Numbers For School

Seat Redistribution

Irene Yuan Lo, Columbia University, New York, NY, United States,

iyl2104@columbia.edu

, Itai Feigenbaum, Yashodhan Kanoria,

Jay Sethuraman

We consider a dynamic model of the school choice problem, where students are

given an initial allocation, learn the value of their outside option, and are then

given a final allocation based on their updated preferences. The goal is to obtain

an efficient final allocation that is individually rational with respect to the initial

allocation and minimizes student movement. We propose a family of mechanisms

that are fair, efficient, two-round strategy-proof and individually rational. We

show that when a natural ‘order’ condition is satisfied, all these mechanisms

produce equivalent final allocations, and that the mechanism that reverses

student lotteries between rounds minimizes student movement.

2 - Promotional Campaigns Under Social Learning

Ehsan Valavi, Columbia University, New York, NY, 30332-0205,

United States,

valavi19@gsb.columbia.edu,

Costis Maglaras

We study some promotional pricing heuristics in settings where consumers get

informed about a product through a product reviews via a social learning

mechanism.

3 - The Strange Case Of Privacy In Equilibrium Models

Rachel Cummings, California Institute of Technology, 1200 E

California Blvd, MC 305-16, Pasadena, CA, 91125, United States,

rachelc@caltech.edu

We study how privacy technologies affect user and advertiser behavior in a simple

economic model of targeted advertising. In our model, a consumer first decides

whether or not to buy a good, and then an advertiser chooses an ad to show her.

The advertiser would like to use information about the consumer’s purchase

decision to target the ad that he shows, but he is given only a differentially private

signal about the consumer’s behavior. We study equilibrium behavior as a

function of the privacy level and show that this behavior can be highly counter-

intuitive. The effect of adding privacy in equilibrium can be completely different

from what we would expect if we ignored equilibrium incentives.

4 - Delay-predictability Tradeoffs In Reaching A Secret Goal

Kuang Xu, Stanford University, Stanford, CA, United States,

kuangxu@stanford.edu

, John N. Tsitsiklis

We formulate a model of dynamic decision-making to study an agent’s

predictability as she attempts to reach a final goal through a sequence of

intermediate actions, while watched by an adversary who tries to predict the goal

before it is reached. We are motivated by the increasing ubiquity of large-scale

data collection infrastructures capable of predicting an agent’s intentions and

future actions, in juxtaposition with an agent’s desire for privacy. We show the

predictability of the agent’s goal can be made inversely proportional to the time

she spends reaching it, and that this is the best possible. This characterization does

not depend on the structure of the agent’s state space beyond the diameter.

WE40

207B-MCC

Queues with Correlations

Sponsored: Applied Probability

Sponsored Session

Chair: Ohad Perry, Northwestern University - Evanston, Evanston, IL,

United States,

ohad.perry@northwestern.edu

1 - The Impact Of Delays On Service Times In The Intensive Care Unit

Carri Chan, Columbia Business School,

cwchan@columbia.edu

Most queueing models used to model healthcare delivery ignore the effects of

delay experienced by patients awaiting care. We empirically verify that delays in

time-to-treatment can increase a patient’s service requirement. We then propose

a queueing model which incorporates these measured delay effects and

approximation the expected work in the system when the service time of a job is

adversely impacted by the delay experienced by that job. Our approximation

demonstrates that work grows much faster than the traditional 1/(1 − )

relationship seen in most queueing systems. As such, ignoring this effect of delay

could have dire operational consequences.

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