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Technical Sessions – Monday July 11

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MC-18 IFORS 20<strong>11</strong> - Melbourne<br />

4 - A Bi-objective Approach to Reschedule New Jobs in an<br />

One Machine Model<br />

Jacques Teghem, Mathro, Faculté Polytechnique de Mons, 9, rue<br />

de Houdain, 7000, Mons, Belgium, jacques.teghem@fpms.ac.be,<br />

Daniel Tuyttens<br />

We consider an one machine scheduling model with a classical objective - either<br />

total completion time or maximal tardiness - and two sets of jobs: one with<br />

initial jobs already scheduled and one with new jobs which must be inserted in<br />

the schedule. As this reschedule can create a disruption, a second disruption<br />

objective - which can be formulated in four different ways- is considered.So<br />

there exist eight possibilities for this pair of objectives. This model has been<br />

introduced by Hall and Potts, minimizing either a linear aggregation of the two<br />

objectives or the initial objective under a constraint imposing an upper limit to<br />

the disruption objective. In this paper the aim is to obtain the set of efficient<br />

schedules in regard of the two objectives. Algorithms are provided for the eight<br />

possible bi-objective problems.<br />

� MC-18<br />

<strong>Monday</strong>, 16:00-17:30<br />

Meeting Room 215<br />

Applications of DEA in Agriculture and<br />

Farm efficiency<br />

Stream: Data Envelopment Analysis<br />

Invited session<br />

Chair: Gloria Rodriguez Lozano, Faculty of Economics Sciences,<br />

National University of Colombia, Ciudad Universitaria, Facultad de<br />

Ciencias Económicas Edificio 3<strong>11</strong> Of. 308, Bogota, Colombia,<br />

girodriguezl@unal.edu.co<br />

1 - A Multistage Method to Measure Efficiency at Estonian<br />

Dairy Farms<br />

Reet Poldaru, Institute of Economics and Social Sciences,<br />

Estonian University of Life Sciences, Kreutzwaldi 1, 0020,<br />

50413, Tartu, Estonia, reet.poldaru@emu.ee, Jyri Roots<br />

This paper investigates the formulation of multi-stage (three-stage) DEA models<br />

for milk production at Estonian dairy farms and analyses the results of modelling.<br />

The data is a balanced panel of Estonian dairy farms drawn from FADN<br />

database observed during the period of 2000 to 2009. The method starts with<br />

the data envelopment analysis (DEA) to estimate efficiency scores and the input<br />

and output slacks. The second stage is a stochastic frontier analysis (SFA)<br />

to explain the variation in performance measured in the first stage. In the third<br />

stage we then estimate scores again using adjusted data from the second stage.<br />

2 - Nonparametric Approach for Measuring the Productivity<br />

Change and Assessing the Water Use Efficiency in<br />

the Irrigated Areas of Tunisia<br />

Fraj Chemak, Economie Rurale, INRAT, Rue Hedi Karray, 2049,<br />

Ariana, Tunisia, fr_chemak@yahoo.fr<br />

This work aims to analyze technical efficiency, water use efficiency and productivity<br />

change of the irrigated areas. Farm surveys have been carried out<br />

during 2003 and 2007 cropping years and technology performance has been<br />

assessed using the DEA model. Malmquist index has been computed in order<br />

to characterize the productivity change. The results reveal that the technical<br />

efficiency has increased by 17% leading to an improvement of the water use<br />

efficiency up to 22%. The technical efficiency change as well as the technical<br />

change reveal a positive impact on the productivity change.<br />

3 - Economics of Proliferation of Small Tea Gardens in<br />

North Bengal — A Study of Optimum Economic Size<br />

by Applying DEA<br />

Ajit Kr Ray, Department of Commerce, University of North<br />

Bengal, Dakhshini Apartment, 17/18/4 J.C.Bose Road,<br />

Subhaspally, 734001, Siliguri, West Bangal, India,<br />

akr.nbu@gmail.com<br />

Century old Tea industry in the eastern part of India has traditionally been considered<br />

as large scale. This perception has worn away by the emergence of the<br />

small tea gardens of local entrepreneurs. A key identifying factor which allows<br />

small tea plantations to proliferate is perhaps low initial capital investment, besides<br />

the adaptation of the concept that tea can be grown as a small holder<br />

crop. We studied the economics of proliferation and the optimum efficient size<br />

of small tea garden by applying DEA on the basis of field survey data.<br />

28<br />

4 - Measurement of the Relative <strong>Technical</strong> Efficiency of<br />

the Farms Associated to Coounion in Guasca Cundinamarca<br />

Colombia<br />

Gloria Rodriguez Lozano, Faculty of Economics Sciences,<br />

National University of Colombia, Ciudad Universitaria, Facultad<br />

de Ciencias Económicas Edificio 3<strong>11</strong> Of. 308, Bogota,<br />

Colombia, girodriguezl@unal.edu.co, Wilson Oviedo Garcia<br />

This research measures the relative technical efficiency in twelve cattle farms<br />

associated with the Cooperative Coounión in the municipality of Guasca-<br />

Cundinamarca, Colombia, by DEA, for a period of time between 1 June 2008<br />

to May 31, 2009. Using six variables in two models CRS with input orientation.<br />

For the first model: Inputs: nutrition, maintenance, milking; and Output:<br />

milk. Second model: Inputs: nutrition, maintenance, Outputs: meat and calves.<br />

� MC-19<br />

<strong>Monday</strong>, 16:00-17:30<br />

Meeting Room 216<br />

Games and OR Education<br />

Stream: Education and Operations Research<br />

Invited session<br />

Chair: James Cochran, Department of Marketing and Analysis,<br />

Louisiana Tech University, PO Box 10318, 71272, Ruston, LA,<br />

United States, jcochran@cab.latech.edu<br />

1 - An Educational Game in Collaborative Logistics<br />

Sophie D’Amours, FORAC Consortium, G1V 0A6, Quebec,<br />

Canada, Sophie.Damours@gmc.ulaval.ca, Mikael Rönnqvist<br />

We describe an educational game in collaborative logistics. The game is based<br />

on an award-winning application in cost allocation in transportation. The purpose<br />

of the game is to acquire an understanding of negotiation, coalition building<br />

and cost/profit sharing when the players have different power and hold different<br />

levels of information. The objective of the game is to find an efficient<br />

plan and to share the benefits of the collaboration. We describe the underlying<br />

case study, basic concepts in game theory, and outline the game and discuss experiences<br />

from running the game in several countries and those with students<br />

registered in business schools, engineering and forestry faculties.<br />

2 - Teaching OR with Games and Discovery<br />

Kevin Hutson, Furman University, SC 29613, Greenville, SC,<br />

United States, kevin.hutson@furman.edu<br />

After teaching several introductory OR courses, I found that students did not internalize<br />

the course material as I would have liked and walked away with a mechanical<br />

understanding of OR. After this, I adopted a problem-based approach<br />

to teaching the course, focusing on three main topics: formulation, algorithm<br />

design, and economic interpretations. In this talk, I discuss how this problembased<br />

approach allows students to discover and internalize concepts for themselves<br />

and allows for the use of games to illuminate formulations, mathematical<br />

concepts, and bigger picture ideas in the course.<br />

3 - Rogo, a TSP-based Paper Puzzle: Problem Features<br />

and Human Solutions<br />

Nicola Ward Petty, Creative Heuristics Ltd, P.O. Box 21 390,<br />

8142, Christchurch, New Zealand, drRogo@me.com, Shane Dye<br />

Rogo, a pencil and paper puzzle, is based on a subset-selection travelling salesperson<br />

problem with a known optimal score. There is an infinite number of<br />

possible Rogo puzzles, with at least twelve features. In order for puzzles to<br />

be appealing, they should be difficult enough to be challenging and interesting,<br />

but not intractable or tedious. Through examination, mathematical modelling<br />

and experimentation on human subjects, we begin research into what elements<br />

affect the degree of difficulty of Rogo puzzles. Comparisons are made with<br />

other puzzles. Some preliminary results are given.<br />

4 - Using Games and Active Learning Exercises to Engage<br />

and Re-engage Students<br />

James Cochran, Department of Marketing and Analysis,<br />

Louisiana Tech University, PO Box 10318, 71272, Ruston, LA,<br />

United States, jcochran@cab.latech.edu<br />

Education research provides evidence that student attention wanes after approximately<br />

ten minutes. An instructor can reengage students (and herself or<br />

himself) by abruptly altering the classroom environment periodically. In this<br />

session we will discuss several ways to alter the classroom enviroment with a<br />

variety of games and active learning exercises.

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