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SB25<br />

■ SB25<br />

25- West 213 B- CC<br />

Radiation Therapy Treatment Planning I<br />

Sponsor: Health Applications Society<br />

Sponsored Session<br />

Chair: Edwin Romeijn, Professor, University of Michigan, IOE<br />

Department, 1205 Beal Avenue, Ann Arbor, MI, 48109-2117,<br />

United States of America, romeijn@umich.edu<br />

1 - A Column-generation-based Technique for Multi-criteria Direct<br />

Aperture Optimization<br />

Ehsan Salari, Research Associate, Massachusetts General Hospital<br />

and Harvard Medical School, Francis H Burr Proton Therapy,<br />

55 Fruit Street, Boston, MA, 02114, United States of America,<br />

salari.ehsan@mgh.harvard.edu, David Craft, Jan Unkelbach<br />

Multi-criteria optimization (MCO) has proved to be a promising approach to<br />

radiation therapy treatment planning. MCO is typically employed in the Fluencemap<br />

optimization stage to find a Pareto-optimal solution that yields the desired<br />

trade-off between treatment evaluation criteria. In this study we investigate the<br />

extension of the MCO approach to the direct aperture optimization problem and<br />

develop heuristics to obtain a collection of apertures that can approximate the<br />

Pareto surface.<br />

2 - Determining Convex Objective Functions and Importance<br />

Factors in Multi-criteria IMRT Planning<br />

Taewoo Lee, University of Toronto, 5 King’s College Road, Toronto,<br />

Canada, taewoo.lee@utoronto.ca, Michael Sharpe, Timothy Chan,<br />

Tim Craig<br />

In multi-criteria optimization, objective function parameters are often determined<br />

by a trial-and-error process. Multi-criteria IMRT planning typically involves many<br />

objective functions, which leads to a large parameter space to search over. We<br />

develop an inverse optimization method to determine convex objective functions<br />

and parameters that are most critical in treatment planning. Results show the<br />

potential to both streamline the planning process and increase the treatment<br />

effectiveness.<br />

3 - The Effect of Tumor Repopulation on Fractionation Schedules in<br />

Radiation Therapy<br />

Jagdish Ramakrishnan, Massachusetts Institute of Technology, 77<br />

Massachusetts Avenue, Cambridge, MA, United States of America,<br />

jagdish@mit.edu, David Craft, Thomas Bortfeld, Jan Unkelbach,<br />

John N. Tsitsiklis<br />

We consider optimizing the fractionation schedule and the number of treatment<br />

days for radiation therapy. The tumor control probability is maximized subject to<br />

a constraint on the normal tissue complication probability. We consider both<br />

exponential and gompertzian tumor repopulation between treatment fractions in<br />

the linear-quadratic formalism. Such a framework provides insights as to which<br />

types of treatment protocols (e.g., hypo-fractionation) are beneficial for various<br />

disease sites.<br />

4 - A Method for Improving the Dose Distribution Quality of<br />

Multi-criteria Radiation Therapy Plans<br />

Rasmus Bokrantz, KTH Royal Institute of Technology, SE-100 44,<br />

Stockholm, Sweden, bokrantz@kth.se<br />

This talk considers an approach to radiation therapy planning where possible<br />

treatment options are explored through realtime interpolation over precomputed<br />

solutions. A method is presented that improves the quality of interpolated<br />

solutions by minimizing a projective distance to the nondominated frontier under<br />

constraints on maintained dose distribution quality. Also, minimization of dose<br />

changes during conversion into deliverable machine settings are discussed in view<br />

of the presented method.<br />

■ SB26<br />

26- North 221 A- CC<br />

Emerging Topics in Supply Chain Management<br />

Sponsor: Manufacturing & Service Oper Mgmt<br />

Sponsored Session<br />

Chair: Li Chen, Assistant Professor, Duke University, 100 Fuqua Drive,<br />

Durham, NC, 27708, United States of America, li.chen@duke.edu<br />

1 - Integrating Inventory Replenishment and Cash Payment<br />

Decisions in Supply Chains<br />

Wei Luo, Duke University, 100 Fuqua Drive, Durham, NC,<br />

United States of America, wei.luo@duke.edu, Kevin Shang<br />

We provide a modeling framework that integrates financial flows into a two-stage<br />

supply chain where each location procures inventory based on cash available. We<br />

consider different payment schemes and derive joint optimal and near-optimal<br />

INFORMS Phoenix – 2012<br />

88<br />

inventory and cash policies. Our study demonstrates that an effective cash<br />

payment policy can mitigate the supply disruption risk and improve the overall<br />

supply chain efficiency.<br />

2 - On the Profitability of an Eco-Friendly Supply Chain<br />

Yang Li, PhD Student, Duke University, 100 Fuqua Drive,<br />

Durham, NC, 27708, United States of America,<br />

yang.li2@duke.edu, Fernando Bernstein, Kevin Shang<br />

We study a two-stage supply chain for eco-friendly problems. The production<br />

technology for eco-friendly products is more costly, but these products use<br />

components with less fossil-fuel content than regular products. In particular, ecofriendly<br />

products are less exposed to the price volatility of petroleum. We<br />

examine scenarios in which eco-friendly products are more profitable.<br />

3 - Competitive Quality Choice and Remanufacturing<br />

Adem Orsdemir, Kenan Flagler Business School, University of<br />

North Carolina, Chapel Hill, NC, 27599, United States of America,<br />

adem_orsdemir@kenan-flagler.unc.edu, Eda Kemahlioglu Ziya,<br />

Ali Parlakturk<br />

We consider an Original Equipment Manufacturer who faces competition from an<br />

Independent Remanufacturer. We explicitly characterize how OEM competes<br />

with IR in equilibrium. IR’s entry threat as well as its entry can decrease<br />

consumer and social surplus. We show either weak IR or strong IR is desirable for<br />

reducing the environmental impact. Comparing our results with benchmarks in<br />

which OEM remanufactures suggests that encouraging IRs to remanufacture in<br />

lieu of OEMs may not benefit environment.<br />

4 - Fixing Phantom Stockouts: A POS-Based Shelf Inspection<br />

Model<br />

Li Chen, Assistant Professor, Duke University, 100 Fuqua Drive,<br />

Durham, NC, 27708, United States of America, li.chen@duke.edu<br />

”Phantom stockout” is a retail stockout phenomenon caused by shelf execution<br />

failure and/or product shrinkage (e.g., theft and spoilage). In this paper, we<br />

propose a simple but effective partially-observable Markov decision process<br />

(POMDP) model to tackle this problem. We show that the optimal shelf<br />

inspection policy is a threshold policy based on the number of consecutive zerosales<br />

periods. We further extend the analysis to models with time-varying<br />

parameters.<br />

■ SB27<br />

27- North 221 B- CC<br />

Supply Chain Models with Multi-sourcing and<br />

Information Updates<br />

Sponsor: Manufacturing & Service Oper Mgmt<br />

Sponsored Session<br />

Chair: Eylem Tekin, Instructional Associate Professor, University of<br />

Houston, Department of Industrial Engineering, Houston,<br />

United States of America, etekin@central.uh.edu<br />

1 - Inventory Replenishment and Demand Allocation Decisions for<br />

Multi-Sourced Items<br />

Abhilasha Katariya Prakash, PhD Student, Texas A&M University,<br />

503 nagle st, apt 102, college station, TX, 77840, United States of<br />

America, abhilashapk@neo.tamu.edu, Eylem Tekin, Sila Cetinkaya<br />

We consider a manufacturer using multi-sourced parts from a contractual vendor<br />

(CV) and a spot market (SM). The CV holds inventory at a vendor managed hub<br />

and charges a fixed unit price under a quantity commitment contract. Inventory<br />

procured from the SM with volatile prices is held at an advance purchase hub.<br />

The overall problem deals with when and how much to order from each source<br />

and how to allocate demand to the alternative hubs.<br />

2 - Dynamic Inventory Replenishment Decisions with Bayesian<br />

Learning of Supply Yield Uncertainty<br />

Baykal Hafizoglu, Arizona State University, 699 S Mill Avenue,<br />

Tempe, AZ, 85281, United States of America, baykal@asu.edu,<br />

Sibel Salman, Esma Gel<br />

We consider a periodic-review inventory replenishment problem with yield<br />

uncertainty, where the quantity that the supplier ships in response to an order is<br />

random. We assume that the parameters that govern the supplier’s yield are not<br />

known with certainty in advance. We propose a Bayesian updating scheme that<br />

learns supplier’s yield parameters over time. We compare performance of<br />

Bayesian learning scheme with other strategies such as safety stock policy, and<br />

simple heuristics.

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