On the unutilized capacity of a production-storage system

  • Authors:
  • P. R. Parthasarathy;M. Sharafali

  • Affiliations:
  • Department of Mathematics, Indian Institute of Technology, Madras 600 036, India;Department of Mathematics, Indian Institute of Technology, Madras 600 036, India

  • Venue:
  • Operations Research Letters
  • Year:
  • 1987

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Abstract

A one-product one-machine production/inventory problem in which the machine is subject to failure, is considered. The product is stored in an inventory of finite capacity. When the machine is operable, it produces at a rate @a greater than the demand rate @b, until the inventory becomes full and thereafter it produces at the demand rate. This stepping down of the rate of production results in the under-utilisation of the machine. The under-utilisation of the machine and the demand not met are analysed; special cases are considered. Cost analysis is also indicated.