Optimal redundancies for reliability and availability of series systems

Abstract Five different series system configurations with standby units are compared based on their overall reliability and availability. The time-to-failure of a component and its repair time are assumed to have the negative exponential distribution. The mean time-to-failure, MTTF, and the steady-state availability, A T (∞), are obtained for the first three simple configurations and comparisons are performed. For all five configurations, comparisons are made based on assumed numerical values given to the distribution parameters, as well as to the cost of the components. The configurations are ranked based on: MTTF, A T (∞), cost and cost-benefit where benefit is either MTTF or A T (∞).

[1]  W. Feller,et al.  An Introduction to Probability Theory and Its Application. , 1951 .

[2]  John A. White,et al.  Analysis of queueing systems , 1975 .

[3]  E. A. Elsayed,et al.  An Optimum Repair Policy for the Machine Interference Problem , 1981 .

[4]  Richard M. Soland,et al.  A Closed Queueing Network Model for Multi-Echelon Repairable Item Provisioning. , 1983 .

[5]  Kuo-Hsiung Wang,et al.  Profit analysis of the machine repair problem with cold standbys and two modes of failure , 1994 .

[6]  Philip M. Morse,et al.  Queues, Inventories, And Maintenance , 1958 .

[7]  Kuo-Hsiung Wang,et al.  Economic analysis of the M/M/R machine repair problem with warm standbys , 1989 .

[8]  Fan Chin Meng.  On comparison of MTBF between four redundant systems , 1993 .

[9]  H. Boothroyd,et al.  A Queueing Model for Spare Coal Faces , 1959 .

[10]  Kuo-Hsiung Wang,et al.  Cost analysis of the M/M/R machine repair problem with spares operating under variable service rates , 1992 .

[11]  J. S. Dagpunar.  Analysis of Systems in Operations Research , 1976 .

[12]  H. Ashcroft,et al.  The Productivity of Several Machines Under the Care of One Operator , 1950 .

[13]  Elmer E Lewis,et al.  Introduction To Reliability Engineering , 1987 .

[14]  D. Pandey,et al.  Cost analysis, availability and MTTF of a three state standby complex system under common cause and human failures , 1995 .

[15]  Kuo-Hsiung Wang,et al.  System characteristics and economic analysis of the G/G/R machine repair problem with warm standbys using diffusion approximation , 1989 .

[16]  Donald Gross,et al.  Queueing Models for Spares Provisioning. , 1977 .

[17]  Vinay Kumar Tyagi.  Profit analysis of two-unit standby system with rest period for the operator and correlated failures and repairs , 1995 .

[18]  Kenneth E. Case,et al.  Principles of Engineering Economic Analysis , 1977 .

[19]  R. Subramanian,et al.  Probabilistic analysis of a three unit cold standby redundant system with repair , 1995 .

[20]  Fan C. Meng.  Comparing the MTBF of four systems with standby components , 1995 .

[21]  S. Albright.  Optimal maintenance-repair policies for the machine repair problem , 1980 .

[22]  J. Taylor,et al.  AN APPLICATION OF THE BIRTH AND DEATH PROCESS TO THE PROVISION OF SPARE MACHINES , 1954 .

[23]  Carl M. Harris,et al.  Fundamentals of queueing theory , 1975 .

[24]  L. R. Goel,et al.  Profit function analysis of system with mixture of warm and cold standby , 1990 .