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6th WATT Workshop

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Presentations of the 6th WATT Workshop at the EURO XX
The Working Group on Automated Timetabling
Sophia Daskalaki: Workshop Co-ordinator

Abstracts

Contributed Talks

Course Timetabling in a Competitive Scenario
Carvajal-Schiaffino, Ruben

The generation of course timetables for educational institutions is a hard problem that must be faced by the managers of these institutions. The problem becomes important when a good course timetable represents a quality element that allow to show a difference in comparison with similar educational programs offered by other institutions. Our goal is to generate solutions considering qualitative aspects. A way to have all the possible solutions considering the lecturers time availability is to use the graph colouring approach, where the graph is modelled as a Petri net. The possible solutions will be generated with its reachability set.

Using Integer Programming and Column Generation for the Solution of the Greek Universities Timetabling Problem
Papoutsis, Kostas; Housos, Efthymios; Valouxis, Christos

In this paper, a typical Greek Universities timetabling problem is modelled and solved. For the modelling of this problem a 0-1 IP model is used. Each variable of this model corresponds to a fully dated weekly schedule of a group of students. The model is solved in two consecutive computational phases. The first phase assigns all the activities to the days of the week and it is solved using column generation. The second phase assigns the actual time-slots for each activity. This approach was successfully used for four semesters for the lecture timetable construction of a Greek University Department.

Timetabling Problem in Persian Universities
Naji Azimi, Zahra

The construction of an Exam timetable is a common problem for all universities and institutions of higher education. In This paper we use methaheuristics for solving Timetabling problem in persian universities.

Quality quantification for educational timetables
Daskalaki, Sophia; Birbas, Theodore

Using 0-1 integer programming the timetabling problem has been modeled successfully for all levels of the Hellenic educational system. While this is a major step for the optimization process in this domain, quantifying the quality of the resulting timetables still remains an interesting problem. In this paper we give the quality criteria which are important for our problem and provide a systematic way of defining the cost coefficients in the objective function of our model in order to further improve the level of satisfaction that a timetable may provide for its users.

Multi-Skilled Workforce Sizing and Management
Chan, Peter

Sizing a workforce and scheduling it to cater for legal conditions and provide special work arrangements have been receiving considerable by the scientific community and many methods have evolved. In this paper, we extend the method of Burns and Carter 1991, to calculate the size of multi-skilled workforces (which is different from hierarchical workforces). Here, we don't know who is working on which skill in calculating workforce size. Our method is to consider also all combinations of skills and not just one skill at a time to obtain various lower bounds.

A threshold accepting algorithm for the examination timetabling problem
Papoutsis, Kostas; Tarantilis Christos

The examination timetabling problem regards the assignment of a set of exams to specific time-slots respecting a set of hard constraints and attempting to satisfy a set of soft-constraints that are modelled using an objective function. It is well-known that this problem is highly combinatorial and it is very difficult to obtain solutions close to optimality. In this paper an on-going research on a threshold accepting heuristic is presented. Several types of local moves are used, however the proposed meta-heuristic has a remarkably simple structure and produces good solutions on a set of test problems.

Planning, Mapping and Timetabling the Greek Coastal Marine Transportation
Dimopoulou, Maria; Hainas, Costas

In this paper we plan and map the Greek Coastal Marine Transportation System (GCMTS). The GCMTS is among the largest systems in Europe due to the Greek peculiarity of 138 ports, which demand to be covered by means of marine transportation. The demand varies from one season to the other and is steadily grown over time both in passengers and vehicles. This system creates a unique problem of forecasting demand and of building a reliable timetable. We present a methodology for developing a timetable with stochastic demand and we develop a first step map and timetable

Assigning Cross-Trained Workers to Departments: An optimization Model to Maximize Utility and Skill Improvement
Sayin, Serpil; Karabati Selcuk

We develop a general framework that is applicable in both manufacturing and service settings for assigning cross-trained workers across departments. The framework consists of a two-stage optimization model where two objective functions, departmental utility and skill improvement, are considered sequentially. Departmental utility is a function of departmental labor shortage and the first stage optimization model maximizes total departmental utility. The second stage model seeks to maximize total skill improvement, which is quantified by a hyperbolic learning curve, while trying not to deviate from the utility level obtained during the first stage optimization. Results of computational experiments are reported.