Aryabhatta Journal of Mathematics & informatics
  • Year: 2019
  • Volume: 11
  • Issue: 1

Analysis of Two Non-Identical Die Casting Units Differing in Failure Mode

  • Author:
  • Renu, Pooja Bhatia
  • Total Page Count: 10
  • Published Online: Jun 1, 2019
  • Page Number: 127 to 136

*Research Scholar, Department of Mathematics, Baba Mastnath University, Rohtak, Haryana

**Assoc. Prof. Department of Mathematics, Baba Mastnath University, Rohtak, Haryana

*E-mail-Renushiv85@gmail.com

**E-mail-budhirajapooja92@gmail.com

Abstract

The present paper is an attempt to find out reliability of two non identical die casting units in which one is in working state and other is cold standby. The working unit has three modes; normal, partial failure, total failure while standby unit has two modes normal and total failure. The primary unit may fail partially or completely, when the unit goes for repair, the cold standby unit starts. The partial failed unit after repair is O.K. its starts in operative mode and other operative unit returns to standby mode. If the repair of partial failed unit is continued and other working unit is also failed after that repair facility stop repairing and put it under operation and start immediately repair other failed unit. Further, the other unit is O.K to operative mode repair facility restarts the repair of partial failed unit. There is a single repair facility which is always available with the system and the makes an attempt to repair the failed unit with full satisfaction. The repaired unit works as good as new. There are some states which are called up states and some down states. The up states are those states in which at least one machine is in operative mode either primary unit or secondary unit. The down states are states in which both machines are not in operative mode. The standby unit is used to replace the operative failed unit instantaneously. The Markov process and Regenerative point technique are used to explore about the reliability and profitability of the system.

Keywords

MTSF, Markov process, regenerative state, reliability, standby system