مقاﻳﺴﻪ ﺗﺼﺎﺩﻓﻲ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﮐﺎﺭ ﮐﺮﺩﻩ ﺍﻓﺰﻭﻧﻪ ﻭ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﺍﻓﺰﻭﻧﻪ ﺑﺎ ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﮐﺎﺭ ﮐﺮﺩﻩ

Stochastic comparisons between used redundant systems and redundant systems with used components

ﻳﮑﻲ ﺍﺯ ﻫﺪﻑ ﻫﺎﻱ ﻣﻬﻢ ﺩﺭ ﻣﻬﻨﺪﺳﻲ ﻗﺎﺑﻠﻴﺖ ﺍﻋﺘﻤﺎﺩ، ﺑﻬﺒﻮﺩ ﻋﻤﻠﮑﺮﺩ ﻭ ﺍﻓﺰﺍﻳﺶ ﻗﺎﺑﻠﻴﺖ ﺍﻋﺘﻤﺎﺩ ﺳﻴﺴﺘﻢ ﻫﺎ ﺍﺳﺖ. ﺍﻓﺰﺍﻳﺶ ﻗﺎﺑﻠﻴﺖ ﺍﻋﺘﻤﺎﺩ ﺳﻴﺴﺘﻢ، ﺑﺎ ﺍﺧﺘﺼﺎﺹ ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﺍﻓﺰﻭﻧﻪ ﺩﺭ ﺳﺎﺧﺘﺎﺭ ﺁﻥ ﻗﺎﺑﻞ ﺍﻧﺠﺎﻡ ﺍﺳﺖ. ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ﺍﺯ ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﺍﻓﺰﻭﻧﻪ ﮐﺎﺭ ﮐﺮﺩﻩ ﻭ ﺳﺎﻟﻢ )ﺑﺎ ﻣﺪﺕ ﺯﻣﺎﻥ ﺍﺳﺘﻔﺎﺩﻩ ﺷﺪﻩ ﻱ ﺑﺮﺍﺑﺮ0 >t ﺩﺭ ﺳﺎﺧﺘﺎﺭ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﻣﻨﺴﺠﻢ ﺟﻬﺖ ﺍﻓﺰﺍﻳﺶ ﻗﺎﺑﻠﻴﺖ ﺍﻋﺘﻤﺎﺩ ﺁﻥ ﺍﺳﺘﻔﺎﺩﻩ ﻣﻲ ﮐﻨﻴﻢ. ﻫﻤﭽﻨﻴﻦ ﻣﻘﺎﻳﺴﻪ ﺗﺼﺎﺩﻓﻲ ﻃﻮﻝ ﻋﻤﺮ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﻣﻨﺴﺠﻢ ﺍﻓﺰﻭﻧﻪ ﮐﺎﺭﮐﺮﺩﻩ ﻭ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﻣﻨﺴﺠﻢ ﺍﻓﺰﻭﻧﻪ ﺑﺎ ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﮐﺎﺭﮐﺮﺩﻩ ﺭﺍ ﻣﻮﺭﺩ ﺑﺮﺭﺳﻲ ﻗﺮﺍﺭ ﺩﺍﺩﻩ ﺍﻳﻢ. ﻣﻘﺎﻳﺴﻪ ﻃﻮﻝ ﻋﻤﺮ ﺳﻴﺴﺘﻢ ﻣﻨﺴﺠﻢ ﺍﻓﺰﻭﻧﻪ ﮐﺎﺭ ﮐﺮﺩﻩ ﻭ ﺳﻴﺴﺘﻢ ﻣﻨﺴﺠﻢ ﺍﻓﺰﻭﻧﻪ ﺑﺎ ﻣﻮﻟﻔﻪ ﻫﺎﻱ ﮐﺎﺭﮐﺮﺩﻩ ﺑﻪ ﻃﺮﺍﺣﺎﻥ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﻣﻬﻨﺪﺳﻲ ﺍﻣﮑﺎﻥ ﺳﺎﺧﺖ ﺳﻴﺴﺘﻢ ﻗﺎﺑﻞ ﺍﻋﺘﻤﺎﺩﺗﺮ ﺍﺯ ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﺧﻮﺏ ﻳﮏ ﺳﻴﺴﺘﻢ ﺍﺯ ﮐﺎﺭ ﺍﻓﺘﺎﺩﻩ ﺭﺍ ﻣﻲ ﺩﻫﺪ. ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺗﺎﺑﻊ ﺩﮔﺮ ﺷﮑﻠﻲ، ﻧﻤﺎﻳﺶ ﺁﻣﻴﺨﺘﻪ ﻃﻮﻝ ﻋﻤﺮ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﻣﺬﮐﻮﺭ ﺭﺍ ﺑﺪﺳﺖ ﻣﻲ ﺁﻭﺭﻳﻢ. ﺑﺮﺍﺳﺎﺱ ﺗﺮﺗﻴﺐ ﻫﺎﻱ ﺗﺼﺎﺩﻓﻲ ﻣﺨﺘﻠﻒ ﺷﺮﺍﻳﻄﻲ ﺭﻭﻱ ﺗﻮﺍﺑﻊ ﻗﺎﺑﻠﻴﺖ ﺍﻋﺘﻤﺎﺩ ﺍﺭﺍﺋﻪ ﻣﻲ ﺩﻫﻴﻢ ﮐﻪ ﻃﻮﻝ ﻋﻤﺮ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﻣﻨﺴﺠﻢ ﺍﻓﺰﻭﻧﻪ ﮐﺎﺭﮐﺮﺩﻩ ﺑﻴﺸﺘﺮ )ﮐﻤﺘﺮ( ﺍﺯ ﻃﻮﻝ ﻋﻤﺮ ﺳﻴﺴﺘﻢ ﻫﺎﻱ ﻣﻨﺴﺠﻢ ﺍﻓﺰﻭﻧﻪ ﺑﺎ ﻣﺆﻟﻔﻪ ﻫﺎﻱ ﮐﺎﺭﮐﺮﺩﻩ ﺑﺎﺷﻨﺪ.

the reliability of systems. Increasing the reliability of a system is possible by allocating redundancies components in the structure of the system. In this paper, we use the worked and functioning spares components in the structure of coherent systems to increase its performance. The stochastic comparisons between used redundant coherent systems and redundant coherent systems with used components done. A comparison of used redundant systems and redundant system with used components will the design engineers to build more reliable system out of the good components of a failed system. Using the distortion function, we obtain a mixture representation for the lifetime of the mentioned systems. Based on different random stochastic orders, we provide conditions on reliability functions that used redundant coherent systems work better (worse) than redundant coherent systems with used components.