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Universal Journal of Applied Mathematics Vol. 2(3), pp. 125 - 135
DOI: 10.13189/ujam.2014.020302
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Application of Linear Programming in Modeling the Allocation of Buses to Routes in a Transport Service Authority


Ngutor Nyor 1,*, Omolehin J.O. 2, Rauf K. 3
1 Department of Mathematics/Statistics, Federal University of Technology Minna, Minna, Nigeria
2 Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria
3 Department of Mathematics, University of Ilorin, Ilorin, Nigeria

ABSTRACT

The objective of the study was to allocate the available buses of the transport authority to the authority鈥檚 service intra and inter states routes in a manner that will yield optimum profit, taking all the constraints into consideration. The problem was modeled using Linear Programming (LP) and the TORA - computer software result yielded a maximum objective value of N897, 214 per day after 20 iterations, which is a better result compared to the current intuitive schedule by the authority that yields N766, 046 per day.

KEYWORDS
NSTA, TORA, Linear Programming, Transport Service, Bus(Es), Route(S), Objective Value

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ngutor Nyor , Omolehin J.O. , Rauf K. , "Application of Linear Programming in Modeling the Allocation of Buses to Routes in a Transport Service Authority," Universal Journal of Applied Mathematics, Vol. 2, No. 3, pp. 125 - 135, 2014. DOI: 10.13189/ujam.2014.020302.

(b). APA Format:
Ngutor Nyor , Omolehin J.O. , Rauf K. (2014). Application of Linear Programming in Modeling the Allocation of Buses to Routes in a Transport Service Authority. Universal Journal of Applied Mathematics, 2(3), 125 - 135. DOI: 10.13189/ujam.2014.020302.