Abstract
The traffic problem is an important problem which has been broadly learnt in Operations Research domain. This paper presents a new Rough Interval Max Algebra Approach (RIMAA) for solving the traffic problem with Rough Interval data. The proposed approach is simple and able to give a suitable solution to this problem. Finally, a descriptive example is given to evaluate performance of the proposed approach.
Highlights
Traffic as a part of public transport develops the economy, compacts with the protection of energy and resources, downgrades jamming, affords critical support in danger situations and disasters, growths the progress and usefulness of real estate, grows mobility in small urban and countryside communities, and decreases health costs
Max-plus algebra is a mathematical system in which the arithmetic operation of addition is replaced by determining the maximum, and the multiplication operation is replaced by the addition
TRAFFIC PROBLEM Traffic problem is the mainly problems in many urban towns round the world
Summary
Traffic as a part of public transport develops the economy, compacts with the protection of energy and resources, downgrades jamming, affords critical support in danger situations and disasters, growths the progress and usefulness of real estate, grows mobility in small urban and countryside communities, and decreases health costs. All of this donates to a better quality of life. Max-plus algebra is a mathematical system in which the arithmetic operation of addition is replaced by determining the maximum, and the multiplication operation is replaced by the addition This mathematical approach provides an interesting way suitable for modeling discrete event systems (DES) and optimization problems in production and transport. In this paper using arithmetic operations of the Rough Interval and max plus algebra, for the treatment of uncertainty in traffic problems.[9]-[13]
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