An Integer Programming Model for the School Timetabling Problem

نویسندگان

  • Geraldo Ribeiro Filho
  • Luiz Antonio Nogueira Lorena
چکیده

This work presents a binary integer programming model applied to the process of fixing a sequence of meetings between teachers and students in a prefixed period of time, satisfying a set of constraints of various types, known as school timetabling problem. Pairs of teachers and classes associated to timeslots are modeled as binary integer variables weighted by parameters referring to teachers preferences. Conflicting pairs relative to each timeslot are modeled as constraints. Computational results over real test problems are presented and compared to previous results obtained with metaheuristics applied to the same instances.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

برنامه‌ریزی درسی در دانشگاه به کمک مدل‌سازی دو مرحله‌ای برنامه‌ریزی ریاضی

 In the university timetabling problem, necessity of considering variables corresponding to lessons, teachers, classes, days of the week and hours bring about a large scale mix integer linear programming problem. Usually the problem is so big that the exact mathematical programming solvers can not solve them in a small period of time. So variety of heuristic algorithms is proposed to solve such...

متن کامل

Comparing Mixed-Integer and Constraint Programming for the No-Wait Flow Shop Problem with Due Date Constraints

The impetus for this research was examining a flow shop problem in which tasks were expected to be successively carried out with no time interval (i.e., no wait time) between them. For this reason, they should be completed by specific dates or deadlines. In this regard, the efficiency of the models was evaluated based on makespan. To solve the NP-Hard problem, we developed two mathematical mode...

متن کامل

Scheduling of undergraduate thesis examination: a case study in Industrial Engineering Department of Universitas Sebelas Maret

Undergraduate thesis examination in Industrial Engineering Department of Universitas Sebelas Maret conducted through two stages, namely intermediate and final examination. Currently, the scheduling process of such examinations is done by the undergraduate thesis coordinator manually without certain systematic method or approach. In this paper, we develop an optimization model for the examinatio...

متن کامل

A Non-linear Integer Bi-level Programming Model for Competitive Facility Location of Distribution Centers

The facility location problem is a strategic decision-making for a supply chain, which determines the profitability and sustainability of its components. This paper deals with a scenario where two supply chains, consisting of a producer, a number of distribution centers and several retailers provided with similar products, compete to maintain their market shares by opening new distribution cent...

متن کامل

A new binary model for university examination timetabling: a case study

Examination timetabling problem (ETP) is one of the most important issues in universities. An improper timetable may result in students' dissatisfaction as it may not let them study enough between two sequential exams. In addition, the many exams to be scheduled, the large number of students who have taken different courses, the limited number of rooms, and some constraints su...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006