Using Stepping Stone and Modi Methods to Solve Transportation Problems

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USING STEPPING STONE AND MODI METHODS TO SOLVE TRANSPORTATION PROBLEMS

BY

ABDUSSALAM MUHAMMAD MUSTAPHA

09/211306009

A SEMINAR PAPER PRESENTED TO THE DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, USMANU DANFODIYO UNIVERSITY, SOKOTO IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF THE DEGREE OF MASTER OF SCIENCE (MATHEMATICS)

SUPERVISORY TEAM:
MAJOR SUPERVISOR: DR. U. A. ALI
CO – SUPERVISOR I: DR. I. J. UWANTA
CO – SUPERVISOR II: DR. MU’AZU MUSA

DATE: 07TH NOVEMBER, 2012
TIME: 10:00 AM
VENUE: U.G. COMPUTER LABORATORY
Abstract
This research is posed with investigation of transportation problems of a bus transit company considering the importance derived from the transport sector of the economy to the leaders and the
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(Enyi, 2007)
Other state governments also joined the suite in the Northern part of the country such as Niger State Transport Authority (NSTA), Kaduna State Transport Authority (KSTA) which later gave birth to Katsina State Transport Authority (KTSTA) after Katsina State was created. A new chapter on the Nigerian road passenger transport service came alive with the introduction of private operators in the late 80s. The likes of Ekene Dili Chukwu, Chidi Ebere Transport, PN Emerah, Madugu Na Bakon Waya and Ifesinachi Transport Services revolutionalized this sector with modern fleets and plying of new routes. Some later entrants like ABC and CN Okoli added more vigor by plying routes even beyond the shores of Nigeria and offering services comparable to what obtains in developed countries while making full use of passenger manifests at loading points.
Within the past two decades, many good and promising transport companies have come and gone with most unable to withstand the pervading competition while others simply mismanaged their successes. One thing stands out though, and that is the deficiency of these transporters in the management of peak periods. Thus the need to use mathematical models and scientific algorithms in the scheduling and assignment of organizational resources for the purpose of optimizing the use of organizational resources is necessary in order to bring about maximum utilization of resources to yield productive improvements more especially in the

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