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Technical Sessions – Monday July 11

Technical Sessions – Monday July 11

Technical Sessions – Monday July 11

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4 - Reliable Shortest Path Problem in Stochastic Networks<br />

with Spatial Correlation<br />

Bi Yu Chen, Department of Civil and Structural Engineering,<br />

The Hong Kong Polytechnic University, Kowloon, Hong Kong,<br />

chen.biyu@gmail.com, William Lam<br />

This study investigates the reliable shortest path problem (RSPP) in stochastic<br />

networks with spatial correlation. Such reliable shortest paths can help travelers<br />

make their route choice under travel time uncertainty with a given on-time<br />

arrival certainty. The RSPP with spatial correlation is formulated and solved as<br />

a multi-objective shortest path approach. A new A* algorithm is proposed to<br />

exactly solve this problem. Computational results show that the proposed algorithm<br />

can determine the reliable shortest path in large scale networks within<br />

a very short computation time.<br />

� FA-20<br />

Friday, 9:00-10:30<br />

Meeting Room 217<br />

Decision Theory<br />

Stream: Contributed Talks<br />

Contributed session<br />

Chair: Jae H. Min, Sogang Business School, Sogang University, #1,<br />

Shinsu-dong, Mapo-ku, 121-742, Seoul, Korea, Republic Of,<br />

jaemin@sogang.ac.kr<br />

1 - Forming a Stable Multipartner Alliance when Priorities<br />

Differ<br />

Tom Blockmans, MOSI, Vrije Universiteit Brussel, Pleinlaan 2,<br />

1050, Brussel, Belgium, tblockma@vub.ac.be, Frank Plastria<br />

We extend a spatial alliance formation model by considering the relative importance<br />

that individual partners may attribute to separate policy dimensions.<br />

Both simultaneous and incremental negotiation procedures are used to determine<br />

the alliance positions. The similarity in policy priorities is shown to have<br />

a considerable impact on partners’ preferences in terms of alliance composition.<br />

Demonstrated negotiating flexibility strongly influences the formation<br />

process. The stability of an alliance structure is compared between different<br />

formation procedures and distance functions.<br />

2 - Sensitivity Analysis in PROMETHEE<br />

Sándor Bozóki, Research Group of Operations Research and<br />

Decision Systems, Computer and Automation Research Institute,<br />

Hungarian Academy of Sciences, PO Box 63., H-1518,<br />

Budapest, Hungary, bozoki@sztaki.hu<br />

Sensitivity analysis in multi-attribute decision making is of both theoretical and<br />

practical interest. In partial sensitivity analysis the weight of a given attribute is<br />

modified and the weights of the other attributes are fixed or rescaled in order to<br />

keep the sum of the weights. Changes of two weights have been also analysed.<br />

However, a more general model for sensitivity analysis is at least as important,<br />

especially when dealing with real-life decision situations, as partial one. In the<br />

model proposed an arbitrary set of the weights can change independently from<br />

each other.<br />

3 - Multicriteria Model to Evaluate Indicators in Performance<br />

Measurements Instruments<br />

Edilson Giffhorn, Production Engineering, Santa Catarina<br />

Federal University, Av. Iguaçú, 399, apt. 25, bairro Rebouças,<br />

80230020, Curitiba, Paraná, Brazil,<br />

edilson.giffhorn@gmail.com, Leonardo Ensslin, Sandra Ensslin,<br />

William Vianna<br />

This paper presents the construction of a Performance Indicators evaluation<br />

model. From the model it was possible:(i) identify 58 criteria that evaluate the<br />

performance of the indicators;(ii) to trace the impact profile of the indicators<br />

of published applications of performance evaluation;(iii) to propose improvement<br />

actions that increase the performance of the indicators; and (iv) to draw an<br />

Impact Profile to the Case Study indicators after the improvement actions. The<br />

results evidence the availability of a model that improves the operationalization<br />

of Performance Measurement instruments.<br />

4 - Another Bound on Rational Decision Making<br />

Jae H. Min, Sogang Business School, Sogang University, #1,<br />

Shinsu-dong, Mapo-ku, 121-742, Seoul, Korea, Republic Of,<br />

jaemin@sogang.ac.kr<br />

IFORS 20<strong>11</strong> - Melbourne FA-21<br />

Behavioral decision making deals with how ordinary people make decisions<br />

and behave. Several bounds such as bounded rationality, bounded willpower,<br />

bounded self-interest, bounded will-to-commit, bounded ethicality have provided<br />

rationale for people’s irrational judgment and behavior. This paper suggest<br />

another bound on rational decisions from the perspective of Asian values.<br />

� FA-21<br />

Friday, 9:00-10:30<br />

Meeting Room 218<br />

Deterministic Open Pit Mine Planning<br />

Stream: Mining Applications<br />

Invited session<br />

Chair: Andrés Weintraub, University of Chile, Santiago, Chile,<br />

aweintra@dii.uchile.cl<br />

1 - A Library of Open Pit Block Sequencing Problems<br />

Alexandra Newman, Division of Economics and Business,<br />

Colorado School of Mines, 1500 Illinois Street, 80401, Golden,<br />

CO, United States, newman@mines.edu, Daniel Espinoza,<br />

Marcos Goycoolea, Eduardo Moreno, Thomas Prevost<br />

The open pit block sequencing problem seeks to determine when if ever, a notional<br />

three-dimensional block containing ore and/or waste material is extracted<br />

from an open pit mine. A typical objective is to maximize the net present value<br />

of the extracted ore; constraints include spatial precedence and lower and upper<br />

bounds on resources. We present a description of this problem, briefly mention<br />

some related literature, detail mathematical models for the problem, provide a<br />

structured guide to corresponding data sets, and conclude with directions for<br />

use of this newly established mining library.<br />

2 - Cutting Planes, Separation and Experiments for the<br />

Open-pit Planning Problem<br />

Daniel Espinoza, Industrial Engineering, Universidad de Chile,<br />

Av. Republica 701, 837-0439, Santiago, RM, Chile,<br />

daespino@dii.uchile.cl<br />

We consider the problem of separating valid inequalities arising from lifted<br />

induced cover inequalities for the precedence constrained knapsack problem,<br />

which essentially is a generalization of the long term planning problem for open<br />

pit mining in the presence of capacity constraints. We study some complexity<br />

issues regarding the separation problem, polynomial separation algorithms for<br />

a sub-class of these inequalities, and extensive computational tests showing the<br />

impact of the separated inequalities. The separation algorithms in this work<br />

generalize and include results from previous works from Boyd 1993, Park and<br />

Park 1997, van de Leensel et al. 1999 and Boland et al. 2005.<br />

3 - A Heuristic Approach for Short-term Production Planning<br />

in Open-pits<br />

Michel Gamache, Mathematics and Industrial Engineering,<br />

École Polytechnique de Montréal, P.O. Box 6079, Station<br />

Centre-Ville, H3C 3A7, Montréal, Quebec, Canada,<br />

michel.gamache@polymtl.ca, Gabriel L’Heureux, Francois<br />

Soumis<br />

This presentation focuses on solving the short-term (a horizon of 90 days)<br />

scheduling problem in open-pit mines. This problem consists of finding the<br />

mining sequence that will minimize production costs while taking into account<br />

the precedence constraints for the extraction of the blocks, the grouping<br />

of blocks for drilling and blasting, the blending constraints, the movement of<br />

shovels, etc. A heuristic approach, based on a mixed integer linear programming<br />

model, is presented.<br />

4 - Tailoring a Lagrangian Relaxation to Reduce Solution<br />

Time of the Open Pit Block Sequencing Problem<br />

William Lambert, Division of Economics and Business,<br />

Colorado School of Mines, 1500 Illinois St., 80401, Golden, CO,<br />

United States, wlambert@mines.edu, Alexandra Newman<br />

An open pit mine optimizes profits by maximizing the extracted orebody’s net<br />

present value. Solving an integer program (IP) with time-indexed binary variables<br />

for each block representing if, and when, the block is extracted, is an<br />

exact method to determine the block extraction sequence. We solve the IP with<br />

a modified Lagrangian relaxation, where constraints are dualized, and multipliers<br />

are initialized, in different periods depending on the expected difficulty<br />

of satisfying minimum and maximum resource constraints. To determine these<br />

periods a priori, we develop heuristics that estimate how challenging it will be<br />

to fulfill the resource requirements in each period.<br />

<strong>11</strong>5

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