Journal of Industrial Management Perspective

Journal of Industrial Management Perspective

Providing a Mathematical Model for Solving the Problem of Timetabling of Periodical Services

Document Type : Original Article

Authors
Alireza Naser Sadrabadi 1
Setareh Boshrouei Shargh 2
Seyed Heidar Mirfakhredini 3
1 Assistant Professor, Yazd University.
2 M.A., Yazd University.
3 Associate Professor, Yazd University.
10.52547/jimp.9.4.139
Abstract
Periodical services are scheduled in various methods throughout different industries and services. Customers or clients periodically visit institutions or service providers to request for a service. Examples are patients referring to physicians or university students to lecturers. This paper proposes a novel model for the scheduling of the periodical services that university students may inquire from their lecturers. The timing of the schedule should accommodate an even distribution of office visits, intervals between the visits, and continual visits, which may require longer time slots. Although the problem has a complex structure, a pure linear integer model is formulated to yield a satisfactory schedule. The solution is verified using two numerical examples and one real example on LINGO (version 17). The results indicate that the model enjoys an acceptable processing time while meeting all constraints, and may be employed successfully on a large scale.
Keywords
Integer Linear Programming
Optimization
Service Scheduling
Periodical Issues
Mathematical Modeling
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Journal of Industrial Management Perspective
Volume 9, Issue 4 - Serial Number 36
Winter 2020
Pages 139-163