International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Short Communication

A study on improving the optimization process of a manufacturing run time problem with defective and machine breakdown

Feng-Tsung Cheng1, Kuang-Ku Chen2, Singa Wang Chiu3 and Ming-Hon Hwang4*
  1Department of Industrial Engineering and Systems Management, Feng Chia University, Taichung 407, Taiwan. 2Department of Accounting, National Changhua University of Education, Changhua 500, Taiwan. 3Department of Business Administration, Chaoyang University of Technology, Wufong, Taichung 413, Taiwan. 4Department of Marketing and Logistics Management, Chaoyang University of Technology, Wufong, Taichung 413, Taiwan.
Email: [email protected]

  •  Accepted: 26 May 2011
  •  Published: 31 July 2011

Abstract

 

This research note improves the optimization process of a manufacturing run time problem studied by Chiu et al. (2011) by presenting a direct proof of convexity of the long-run average cost function of such a problem. It can be used to replace Theorem 1 on conditional convexity given by Chiu et al. enhance quality of optimization process, and eliminate the computational efforts in verifying the conditional convexity.

 

Key words: Optimization process, convexity, manufacturing, replenishment run time, breakdown, production control.