African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 259

Full Length Research Paper

A mathematical approach to transportation related data of South Assam for the optimal age of replacement of a vehicle and daily expenditure minimization

Nabendu Sen1*, Banashri Sinha1 and Tanmoy Som2
    1Department of Mathematics, Assam University, Silchar, India-788011, India. 2Department of Applied Mathematics, Institute of Technology Banaras Hindu University (BHU-IT), Varanasi, India-221005, India.
Email: [email protected]

  •  Accepted: 07 July 2010
  •  Published: 31 January 2011



This paper deals with the replacement issue of an Omni bus plying on Silchar–Guwahati route in India under government and private travel agencies and daily expenditure minimization of travel agencies. In this paper, effort has been given to study the age at which a bus should be replaced on the basis of various expenditure on it. It also attempts to calculate how to minimize daily expenditure of a bus service providing agency with some constraints. The post optimality of the L.P models will be studied at the end .We find the literature of it in various standard books and journals (Hartly, 1969; Harvey, 1969) as listed in the reference section. We find literature for formulation of LP models in (Sen and Som, 2008a, b, c; Sen, 2008d). In (Sen and Som, 2008a), models were developed to maximize daily profit of a service unit while in (Sen and Som, 2008b), a model was developed to minimize passenger fare.



Key words: Omnibus, scrap value, running cost, E-class.