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MB12<br />

3 - Optimization of Piece-wise Linear Functions<br />

Andreas Griewank, Humboldt-Universität zu Berlin,<br />

Unter den Linden 6, Berlin, 10099, Germany,<br />

griewank@mathematik.hu-berlin.de, Felix Dalkowski<br />

The continuous approach to mine planning leads naturally to piecewise linear<br />

discretizations. Such problems are always semi-smooth and can be solved by<br />

suitable bundle type methods. We present a new methodology based on automatic<br />

piece-wise linearization of in the spirit of automatic differentiation.<br />

■ MB12<br />

Aula 363- Third Floor<br />

Issues in Supply Chain Management<br />

Cluster: Supply Chain Management<br />

Invited Session<br />

Chair: Frank Y. Chen, The Chinese University of Hong Kong, Systems<br />

Engineering & Engineering Mgmt, Shatin, N.T., Hong Kong - PRC,<br />

yhchen@se.cuhk.edu.hk<br />

1 - Dynamic Rental Contract Design for Wholesale Stores at an<br />

Electronic Outlet Center<br />

Xiuli Chao, Professor of Industrial and Operations Engineering,<br />

University of Michigan, 1205 Beal Ave, Ann Arbor, MI, 48109,<br />

United States of America, xchao@umich.edu, Jian Chen, Yifan Dou<br />

We consider the rental contract renewal problem in which the outlet’s management<br />

needs to design an annual rental contract for the wholesale store managers to<br />

maximize its profit. We design a rent contract for the outlet center based on models<br />

of asymmetric information, in which the outlet store provides flexibility to the<br />

individual stores in selecting a rental contract using publicly available information<br />

for the entire outlet center.<br />

2 - On the Structural Analysis of Inventory Problems with<br />

Inventory-dependent Demand<br />

Frank Y. Chen, The Chinese University of Hong Kong, Systems<br />

Engineering & Engineering Mgmt, Shatin, N.T., Hong Kong - PRC,<br />

yhchen@se.cuhk.edu.hk, Yi Yang<br />

We consider how inventory should be managed when inventory affects sales in a<br />

periodic review setting. Models to be analyzed include those with a general demand<br />

function (by which demand varies with the stocking or displayed quantity) and a<br />

general cost structure. Capitalizing on our prior experience gained in related<br />

inventory-pricing control problems, we are able to establish structural results for<br />

these models.<br />

3 - Managing Capacity in a Build-to-order Environment<br />

Melda Ormeci Matoglu, Ozyegin University, Faculty of Econ. & Bus.<br />

Admin., Istanbul, Turkey, Melda.Ormeci@ozyegin.edu.tr,<br />

John Vande Vate<br />

We model managing capacity in a BTO environment as a Brownian drift control<br />

problem. With a practical restriction we model it via a structured LP and show an<br />

optimal solution to the restricted problem can be found among a special set of<br />

policies. We exploit new relationships between complementary dual solutions and<br />

relative value functions to obtain a lower bound on the avg. cost of any<br />

nonanticipating policy. We show that our LP approach is asymptotically optimal for<br />

the unrestricted problem.<br />

■ MB13<br />

Aula 364- Third Floor<br />

Integrated Planning and Forest Road Investments<br />

Cluster: Supply Chain Management in Natural Resources<br />

Invited Session<br />

Chair: Mikael Frisk, Skogforsk, Box 3, Savar, SE-91821, Sweden,<br />

mikael.frisk@skogforsk.se<br />

1 - Solving the Indirect Covering Tree Problem Heuristically:<br />

An Application to Forest Road<br />

David Meignan, Post-doc, Polytechnique Montréal, Campus de<br />

líUniversité de Montréal, 2500 chemin de Polytechnique,<br />

Montréal, QC, H3T 1J4, Canada, david.meignan@polymtl.ca,<br />

Jean-Marc Frayret, Gilles Pesant<br />

An optimization problem arising in forest road construction is to plan new harvest<br />

roads. This road network must cover several areas at minimum cost and consider a<br />

maximum skidding distance. The problem is expressed as an indirect covering tree<br />

problem. It consists in determining a tree that covers a set of vertices so as to<br />

minimize the service and construction costs. A GRASP metaheuristic is proposed.<br />

Computational results are reported on randomly generated and real instances.<br />

<strong>ALIO</strong> / INFORMS International – 2010<br />

58<br />

2 - Integrated Harvest Planning and Biomass Distribution<br />

Satyaveer Chauhan, Assistant Professor, Concordia University, JMSB,<br />

1455 De Maisonneuve Blvd. West, Montréal, QC, H3G 1M8, Canada,<br />

sschauha@alcor.concordia.ca, Sophie D’Amours, Luc LeBel<br />

We consider a two echelon supply management problem where forest contractors<br />

are interested in developing harvesting plan based on the demand of high-quality<br />

fiber as well as biomass (fuel) products. The selection of harvesting blocks depends<br />

upon the availability of the fiber, availability of the product mix, transportation and<br />

production costs. This paper presets an integrated model with a solution approach.<br />

3 - Optimization to Support Forest Road Investment Strategies<br />

in a Changing Climate<br />

Mikael Frisk, Skogforsk, Box 3, Savar, SE-91821, Sweden,<br />

mikael.frisk@skogforsk.se, Mikael Rönnqvist, Patrik Flisberg<br />

The forest road network is influenced by the climate, especially rainfall and thaw<br />

causing accessibility problems. A difficult task is to decide which investment in the<br />

road network that gives the highest return, taken into account future harvesting,<br />

changes in climate and also how road investments can interplay with timber storage<br />

and the use of CTI. We present an optimization model which gives answers to<br />

which roads to upgrade, how much timber to store and how CTI-trucks is optimally<br />

used.<br />

■ MB14<br />

Aula 365- Third Floor<br />

Retail Operations<br />

Cluster: Game Theory and its Applications<br />

Invited Session<br />

Chair: Marcelo Olivares, Assistant Professor, Columbia University,<br />

Uris Hall, Room 417, New York, NY, 10027, United States of America,<br />

mo2338@columbia.edu<br />

1 - Dynamic Pricing and Customer Relationships: Selling to Learn or<br />

Learning to Sell?<br />

Rene Caldentey, Associate Professor, NYU Stern, New York, NY,<br />

United States of America, rcaldent@stern.nyu.edu,<br />

Paulo Rocha e Oliveira, Gabriel Bitran<br />

Knowing each customer’s preferences enhances a firm’s ability to design and offer<br />

the right selection and configuration of products and services. We use an axiomatic<br />

approach to develop a learning model that enables us to quantify the trade-off<br />

between the value and the cost of knowing the customers. This learning model is<br />

used to investigate how pricing policies can be used to speed up the learning process<br />

while maximizing the firm’s financial performance.<br />

2 - Predicting Out of Stock using Transactional Data for a<br />

Supermarket Chain<br />

Luis Aburto, CERET, Departamento de Ingenieria Industrial,<br />

U. de Chile, laburto@dii.uchile.cl, Claudio Pizarro, Trinidad Figeroa<br />

POS transactional data is a dynamic and precise source of information which reflects<br />

product turnover in retail shelves and changes in product demand, useful to predict<br />

Out of Stock (OOS). This project builds a decision tree model to forecast OOS for a<br />

supermarket using transactional data. Using KDD methodology we built several<br />

classification models to predict OOS likelihood at sku-day level, using product<br />

demand data and its fluctuation in time, as well as suppliers and product<br />

characteristics.<br />

3 - The Effect of Waiting Time on Customer Purchases:<br />

An Empirical Study<br />

Marcelo Olivares, Assistant Professor, Columbia University, Uris Hall,<br />

Room 417, New York, NY, 10027, United States of America,<br />

mo2338@columbia.edu<br />

This paper studies empirically how customer delays in a supermarket affect<br />

customer purchases. We collected data on queue lengths using video-cameras and<br />

image recognition. These data were matched with point-of-sale data to estimate the<br />

effect of expected delays on sales. We also provide some insights on how these<br />

results can be used to optimize staffing decisions.

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