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Technical Sessions – Monday July 11

Technical Sessions – Monday July 11

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TD-09 IFORS 20<strong>11</strong> - Melbourne<br />

Iron & steel production can be divided into multiple stages, it is important to<br />

coordinate the production in each stage in order to satisfy the material requirement<br />

for each production line and reduce the total production cost. Then the<br />

supply chain coordinating problem is proposed to determine the supply quantity<br />

and the destination production line for each production line in the preceding<br />

stage. To describe the problem, a mixed integral programming model is formulated.<br />

Then dynamic programming based algorithm is developed to solve the<br />

problem whose efficiency is verified by experiment.<br />

3 - Modelling Unidirectional Transshipments from a Retail<br />

Network to Support a Virtual Store<br />

Thomas Archibald, Business School, University of Edinburgh,<br />

29 Buccleuch Place, EH8 9JS, Edinburgh, United Kingdom,<br />

T.Archibald@ed.ac.uk, Jiaqi Zhang<br />

We consider a multi-location inventory system in which demand at one of the<br />

locations can be met by local stock or by transshipment from any of the other<br />

locations. This situation arises, for example, in a retail company which has a<br />

branch network and a virtual store. Under the assumption of independent continuous<br />

review replenishment with fixed lead time at each location, we model<br />

the system as a semi-Markov decision process. Using decomposition, we develop<br />

an effective heuristic transshipment policy.<br />

� TD-09<br />

Tuesday, 17:00-18:30<br />

Meeting Room 108<br />

VRP II<br />

Stream: Vehicle Routing<br />

Invited session<br />

Chair: Vinícius Armentano, Faculdade de Engenharia Elétrica e de<br />

Computação, Universidade de Campinas, FEEC-UNICAMP, Av.<br />

Albert Einstein 400, 13083-852, Campinas, São Paulo, Brazil,<br />

vinicius@densis.fee.unicamp.br<br />

1 - Estimation of an Activity-based Demand Model as a<br />

Class of Vehicle Routing Problems using Inverse Optimization<br />

Joseph Chow, Institute of Transportation Studies, University of<br />

California, Irvine, 4000 Anteater Instruction and Research Bldg<br />

(AIRB), 92697, Irvine, CA, United States,<br />

joseph.chow@gmail.com, Will Recker<br />

Inverse optimization is used to estimate unknown coefficients of the utility<br />

function of activity-based travel demand models formulated as vehicle routing<br />

problems that are based on a utility maximizing behavioral framework, as well<br />

as for estimating coefficients of multiple objectives based on observed patterns.<br />

The household activity pattern problem is presented as one such model. The<br />

inverse household activity pattern problem with soft time windows is estimated<br />

using a cutting plane algorithm and tested with the 2001 California Household<br />

Travel Survey.<br />

2 - Routing with Multiple Deliverymen<br />

Reinaldo Morabito, Dept. of Production Engineering, Federal<br />

University of São Carlos, CP 676, 13565-905, Sao Carlos, Sao<br />

Paulo, Brazil, morabito@ufscar.br, Vitória Pureza<br />

In real life distribution of goods, relatively long service times may make it<br />

difficult to serve all requests during regular working hours, particularly when<br />

the beginning of the service in each site must occur within a time window,<br />

and violations of routing time restrictions are highly undesirable. We address<br />

this situation with a variant of the vehicle routing problem with time windows<br />

for which a number of extra deliverymen can be assigned to each route. We<br />

present a mathematical programming formulation for the problem and a tabu<br />

search heuristic for obtaining minimum cost routes.<br />

3 - Fleet Deployment Optimization for Tramp Shipping<br />

62<br />

Vinícius Armentano, Faculdade de Engenharia Elétrica e de<br />

Computação, Universidade de Campinas, FEEC-UNICAMP, Av.<br />

Albert Einstein 400, 13083-852, Campinas, São Paulo, Brazil,<br />

vinicius@densis.fee.unicamp.br, Rodrigo Branchini<br />

We address a tactical planning problem faced by many tramp shipping companies<br />

that have cargo contracts that they are committed to carry, while trying to<br />

serve optional spot cargoes to increase its revenue over medium-term horizon.<br />

The decisions include the number and type of vessels deployed, the assignment<br />

of vessels to contractual and spot voyages and the determination of vessel<br />

routes and schedules in order to maximize the profit. This problem is modeled<br />

as a mixed integer programming which is solved using COIN-OR open source<br />

platform. Computational results are reported.<br />

� TD-10<br />

Tuesday, 17:00-18:30<br />

Meeting Room <strong>11</strong>1<br />

Planning Railway Rapid Transit<br />

Stream: Public Transit<br />

Invited session<br />

Chair: Juan A. Mesa, University of Seville, 41092, Sevilla, Spain,<br />

jmesa@us.es<br />

1 - Recovery of Disruptions in Rapid Transit Networks<br />

Luis Cadarso, Matemática Aplicada y Estadística, Universidad<br />

Politécnica de Madrid, Pz. Cardenal Cisneros, 3, 28040, Madrid,<br />

Spain, luis.cadarso@upm.es, Ángel Marín, Gabor Maroti<br />

This paper focuses on disruption management of Rapid Transit Rail Networks;<br />

such networks feature frequent train services and heavy passenger loads. In<br />

current practice, the timetable (TT) and the rolling stock (RS) are rescheduled<br />

sequentially. Here we propose an integrated multiobjective model for TT and<br />

RS recovery to minimize the recovery time, the passenger inconvenience and<br />

the incurred system costs. The model is validated by a simulation tool of the<br />

passenger flows during the disruption. The computations are based on realistic<br />

problem instances of the Spanish rail operator RENFE.<br />

2 - A Path-relinking Algorithm for the Railway Network Design<br />

Problem<br />

Federico Perea, Estadística e Investigación Operativa Aplicadas<br />

y Calidad, Universidad Politécnica de Valencia, 46021, Valencia,<br />

Spain, perea@us.es, Antonio J. Lozano, Juan A. Mesa<br />

Our railway network design problem in the presence of a competing transportation<br />

mode consists of choosing a set of stations and links so that the number<br />

of passengers that find the railway network more attractive than an already<br />

operating transportation mode is maximized. Due to the NP-hardness of this<br />

problem, heuristics are needed. In this presentation a path-relinking algorithm<br />

is proposed.<br />

3 - A Review of Railway Rapid Transit Planning<br />

Juan A. Mesa, University of Seville, 41092, Sevilla, Spain,<br />

jmesa@us.es, Gilbert Laporte, Francisco A. Ortega, Federico<br />

Perea<br />

During last 30 years there has been an important increase in the number of<br />

metro and commuter systems all over the world. On the one hand, construction<br />

of such systems requires large investments and on the other hand the quality of<br />

the service is an important social issue thus motivating the application of scientific<br />

tools. Planning such systems gives rise to several mathematical problems<br />

such as network and line planning, timetable, scheduling, crew rostering and<br />

disruption management, among others. In this talk, the literature on analytical<br />

methods for solving these problems is reviewed.<br />

4 - A Frequency Setting Model for Auxiliary Bus Lines on<br />

Disrupted Rapid Transit Networks<br />

Esteve Codina, Statistics and Operational Research, UPC, Edifici<br />

C5, Desp 216 Campus Nord, 08034, Barcelona, Spain,<br />

esteve.codina@upc.edu, Ángel Marín, Francisco Lopez<br />

A model is presented for dimensioning the number of services in bus lines<br />

intended for alleviating disruption situations of regular services in metro and<br />

Rapid Transit networks. The coordination between disrupted services and convoys<br />

of the auxiliary bus system is taken into account and the effects of congestion<br />

due to high levels of demand are also modeled. The model is formulated as<br />

an nonlinear mixed integer programming problem and results of ad hoc heuristics<br />

as well as classical methods are shown for medium size networks.

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