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INFORMS Philadelphia – 2015

354

TD26

26-Room 403, Marriott

Production and Scheduling I

Contributed Session

Chair: Srimathy Mohan, Associate Professor, Arizona State University,

Department of Supply Chain Management, Tempe, AZ,

United States of America,

srimathy@asu.edu

1 - Weekly Production Planning on the Basis of Average

Value-at-Risk by Shapley Value

Nobuyuki Ueno, Hiroshima University of Economics, 5-37-1 Gion

Asaminami-ku, Hiroshima, Japan,

ueno@pu-hiroshima.ac.jp

,

Hiroshi Morita, Koji Okuhara

Under demand uncertainty,they used stock-out ratio for estimating the risk. In

this presentation, we propose a formulation for weekly production planning

problem that reflects the AVaR (Average value-at-risk) for weighing tail risk and a

solution by Shapley value. The characteristics of the solution procedure is proved.

It has the features that it does not require strict probability distribution of stock-

out and it enables an extension to the case where demand for each period is

correlated.

2 - A Generalized Dantzig-Wolfe Decomposition Algorithm for Mixed

Integer Programming Problems

Xue Lu, London School of Economics and Political Science,

Houghton Street, London, WC2A 2AE, United Kingdom,

X.Lu7@lse.ac.uk,

Zeger Degraeve

We propose a generalized Dantzig-Wolfe decomposition algorithm for mixed

integer programming. By generating copy variables, we can reformulate the

original problem to have a diagonal structure which is amendable to the Dantzig-

Wolfe decomposition. We apply the proposed algorithm to multi-level capacitated

lot sizing problem and production routing problem. Rigorous computational

results show that our algorithm provides a tighter bound of the optimal solution

than all the existing methods.

3 - The Impact of Postponement Practices on the Lot-sizing

Decisions of a Wine Bottling Plant

Sergio Maturana, Professor, Pontificia Universidad Catolica de

Chile, Vicuna Mackenna 4860, Santiago, Chile,

smaturan@ing.puc.cl,

Mauricio Varas

Export-focused wineries face a difficult problem when planning their bottling

lines due to the number of different products they have to bottle and label. A way

of reducing misallocation due to demand variability is by postponing the labeling

process. We propose two MIP planning models that support tactical lot-sizing

decisions. We tested both models in a rolling horizon framework, under different

conditions of capacity tightness, horizon length, and demand uncertainty and we

report the results.

4 - Scheduling of Maximizing Total Job Value with Machine

Availability Constraint

Eun-Seok Kim, Middlesex University, The Burroughs, London,

NW4 4BT, United Kingdom,

e.kim@mdx.ac.uk,

Joonyup Eun

We study a single machine scheduling problem of maximizing total job value with

machine availability constraint. The value of each job is given as a non-increasing

step function of its completion time. We develop a branch-and-bound algorithm

and a heuristic algorithm for the problem. Finally, we perform computational

experiments showing that the developed algorithms provide efficient and effective

solutions.

TD27

27-Room 404, Marriott

Applications of Multi-objective Optimization

Sponsor: Multiple Criteria Decision Making

Sponsored Session

Chair: Matthias Ehrgott, Professor, Department: Management Science,

Lancaster University, The Management School, Lancaster, 00, LA1 4YX,

United Kingdom,

m.ehrgott@lancaster.ac.uk

1 - A Hybrid Decision Making Approach for Multi-Objective

Infrastructure Planning

Hana Chmielewski, North Carolina State University,

Campus Box 7908, Raleigh, NC, 27695, United States of America,

htchmiel@ncsu.edu,

Ranji Ranjithan

A hybrid approach using evolutionary computation and dynamic programming is

used to optimize investments and operational decisions in a water supply case

study system. Solutions are categorized by network centralization metrics, and

analyzed with respect to multiple planning objectives.

2 - Evaluating Lignocellulosic Biomass Supply Chains Considering a

Multi-objective of Optimizing Cost

Burton English, Professor, The University of Tennessee, 2621

Morgan Hall, Knoxville, TN, 37922, United States of America,

benglish@utk.edu

, James Larson, Edward Yu, Jia Zhong

A switchgrass supply chain that considers the optimization of cost, GHG emissions

and soil erosion for a cellulosic biofuel plant is developed. Using an augmented

epsilon constraint multi-objective optimization model and a compromise solution

method, along with high-resolution spatial data the optimal placement of

feedstock supply chains can be estimated. Spatial characteristics, including land

coverage and infrastructure availability, are crucial to both the cost and the

environmental results.

TD28

28-Room 405, Marriott

Dynamic Matching Markets

Cluster: Auctions

Invited Session

Chair: John Dickerson, CMU, 9219 Gates-Hillman Center, Pittsburgh,

PA, 15213, United States of America,

dickerson@cs.cmu.edu

1 - Global Kidney Exchange

Afshin Nikzad, Stanford University, 37 Angell Court,

Apt 116, Stanford, CA, 94305, United States of America,

afshin.nikzad@gmail.com

, Mohammad Akbarpour, Alvin Roth

In some countries, many patients die after a few weeks of diagnosis mainly

because the costs of kidney transplantation and dialysis are beyond the reach of

most citizens. We analyze the two proposals in which patients with financial

restrictions who have willing donors participate in kidney exchange without

paying for surgery. Our proposals can save thousands of patients, while

substantially decreasing the average dialysis costs; in particular, we prove that

they are “self-financing”

2 - Matching with Stochastic Arrival

Neil Thakral, Harvard, 1805 Cambridge Street, Cambridge, MA,

United States of America,

nthakral@fas.harvard.edu

We study matching in a dynamic setting, with applications to public-housing

allocation. Objects of different types that arrive stochastically over time must be

allocated to agents in a queue. When objects share priorities over agents, we

propose an efficient, envy-free, and strategy-proof mechanism. The mechanism

continues to satisfy these properties if and only if the priority relations are acyclic.

Estimated welfare gains over existing housing-allocation procedures exceed

$5000 per applicant.

3 - Dynamic Kidney Exchange with Heterogeneous Types

Maximilien Burq, Student, MIT, 77 Massachusetts Avenue,

Cambridge, MA, 02139, United States of America,

mburq@mit.edu

, Itai Ashlagi, Vahideh Manshadi, Patrick Jaillet

Kidney exchange programs face growing number of highly sensitized patients. We

develop an online model that models such heterogeneity, and we prove that

having some easy-to-match patients in the pool greatly reduces waiting times

both in the presence of bilateral matching and chain matching. We provide

simulations showing that some prioritizing leads to improved overall efficiency.

4 - Competing Dynamic Matching Markets

Sanmay Das, WUSTL, One Brookings Dr, CB 1045,

St. Louis, MO, 63130, United States of America,

sanmay@wustl.edu,

John Dickerson, Zhuoshu Li,

Tuomas Sandholm

We extend a framework of dynamic matching due to Akbarpour et al. to

characterize outcomes in cases where two rival matching markets compete. One

market matches quickly while the other builds thickness by matching slowly. We

present analytical and simulation results, both in general and for kidney

exchange, demonstrating that rival markets increase overall loss compared to a

single market that builds thickness.

TD26