Indian Journal of Industrial and Applied Mathematics

  • Year: 2009
  • Volume: 2
  • Issue: 2

An Integrated Production – Inventory Model with Imperfect Production Process in Buyoant Market

  • Author:
  • Nita H. Shah1,, Ajay S. Gor2, Chetan Jhaveri3
  • Total Page Count: 13
  • Published Online: Dec 1, 2009
  • Page Number: 1 to 13

1Department of Mathematics, Gujarat University, Ahmedabad-380 009, Gujarat, India

2Department of Mathematics, Pramukh Swami Science and H.D. Patel Arts College, Kadi-382 715, Gujarat, India

3Department of Mathematics, S.L. Institute of Business Administration, Ahmedabad-380 009, India

*Author for Correspondence. Email: nitalishah@grnail.com

Abstract

In this study, an integrated production-inventory model is developed from the manufacturers and retailer's point of view when demand of a product is increasing with the time. The model assumes partial backlogging, imperfect production process and multiple deliveries. The elapsed time until the production process shifts is assumed to be randomly distributed. A numerical example including the sensitivity Is given to validate the results of the proposed development It Is observed that the integrated decision lowers the joint cost compared with an independent decision made by the manufacturer and the retailer.

Keywords

Integrated production-inventory model, Imperfect processes, Multiple deliveries, Buyonant market