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MECS 08. Stochastic Processes - Modeling and Evaluation of...

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1 ﺮﺗﻮﻴﭙﻣﺎﻛ ﻲﺳﺪﻨﻬﻣ هﺪﻜﺸﻧاد ناﻮﻨﻋ سرد : يﺮﺗﻮﻴﭙﻣﺎﻛ يﺎﻫ ﻢﺘﺴﻴﺳ ﻲﺑﺎﻳزرا و يزﺎﺳ لﺪﻣ Modeling and Evaluation of Computer Systems (MECS) ﻪﺴﻠﺟ 8 : ﻲﻓدﺎﺼﺗ يﺎﻫﺪﻨﻳآﺮﻓ سرﺪﻣ : ﺪﻤﺤﻣ ﻲﻬﻠﻟاﺪﺒﻋ ﻲﻤﮔزا (Mohammad Abdollahi Azgomi) [email protected] MECS#8: Stochastic Processes - By: M. Abdollahi Azgomi - IUST-CE 2 ﺐﻟﺎﻄﻣ ﺖﺳﺮﻬﻓ ± ﻪﻣﺪﻘﻣ ± ﻲﻓدﺎﺼﺗ يﺎﻫﺪﻨﻳآﺮﻓ و ﺎﻫﺮﻴﻐﺘﻣ ،داﺪﻋا ﻒﻳرﺎﻌﺗ ± ﻲﻳﺎﻤﻧ ﻊﻳزﻮﺗ ﺮﺗ ﻖﻴﻗد ﻲﺳرﺮﺑ ± ﻲﺷرﺎﻤﺷ ﺪﻨﻳآﺮﻓ (counting process) ± ﻲﻓدﺎﺼﺗ ﺪﻨﻳآﺮﻓ (stochastic process) ± نﺎﺳاﻮﭘ ﺪﻨﻳآﺮﻓ (Poisson process) ± فﻮﻛرﺎﻣ ﺪﻨﻳآﺮﻓ (Markov process) ± گﺮﻣ و ﺪﻟﻮﺗ ﺪﻨﻳآﺮﻓ (birth-death process) ± يﺪﻨﺑ ﻊﻤﺟ
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2 MECS#8: Stochastic Processes - By: M. Abdollahi Azgomi - IUST-CE 3 ﻪﻣﺪﻘﻣ ± را ار ﻲﻓدﺎﺼﺗ يﺎﻫﺪﻨﻳآﺮﻓ و ﺎﻫﺮﻴﻐﺘﻣ ،داﺪﻋا ﻒﻳرﺎﻌﺗ اﺪﺘﺑا ﻪﺴﻠﺟ ﻦﻳا رد ﻪﺋا ﻢﻴﻨﻛ ﻲﻣ . ± ﻲﺑﺎﻳزرا و يزﺎﺳ لﺪﻣ رد ﻲﻳﺎﻤﻧ ﻊﻳزﻮﺗ ﻢﻬﻣ يﺎﻫدﺮﺑرﺎﻛ ﻞﻴﻟد ﻪﺑ ،هﺎﮕﻧآ ،ﻲﻳارﺎ ندﻮﺑ ﻪﻈﻓﺎﺣ ﻲﺑ مﻮﻬﻔﻣ ﻒﻳﺮﻌﺗ و ﻊﻳزﻮﺗ ﻦﻳا ﺮﺗ ﻖﻴﻗد ﻲﺳرﺮﺑ ﻪﺑ (memorylessness) ﻢﻳزادﺮﭘ ﻲﻣ . ± ﻲﺷرﺎﻤﺷ يﺎﻫﺪﻨﻳآﺮﻓ ،ﺲﭙﺳ (counting) نﺎﺳاﻮﭘ و (Poisson) ﻲﻓﺮﻌﻣ ار ﻢﻴﻨﻛ ﻲﻣ ﺮﻛذ ار نﺎﺳاﻮﭘ ﺪﻨﻳآﺮﻓ ﻲﻠﺻا يﺎﻫ ﺖﻴﺻﺎﺧ و هدﻮﻤﻧ . ± فﻮﻛرﺎﻣ ﺪﻨﻳآﺮﻓ ﻪﺑ يا هرﺎﺷا ﻢﻫ ﻪﻤﺗﺎﺧ رد (Markov) دﻮﻤﻧ ﻢﻴﻫاﻮﺧ . MECS#8: Stochastic Processes - By: M. Abdollahi Azgomi - IUST-CE 4 ﻲﻓدﺎﺼﺗ داﺪﻋا ﻒﻳﺮﻌﺗ ± داﺪﻋا ﻲﻓدﺎﺼﺗ (random numbers) : داﺪﻋا ﻲﻘﻴﻘﺣ ﻲﻠﻘﺘﺴﻣ ﺪﻨﺘﺴﻫ ﻪﻛ ترﻮﺻ ﻪﺑ ﺖﺧاﻮﻨﻜﻳ هزﺎﺑ رد [0, 1) ﻊﻳزﻮﺗ هﺪﺷ ﺪﻧا : ² ﻦﻳا ﻞﺻﺎﺣ داﺪﻋا داﺪﻋا يﺎﻫﺪﻟﻮﻣ ﻲﻓدﺎﺼﺗ (RNG: R. N. Generator) ﺪﻨﺘﺴﻫ . ﺪﻳﺎﺑ ﻲﻳﺎﻫﺪﻟﻮﻣ ﻦﻴﻨﭼ ﻪﻛ ﺪﻨﺷﺎﺑ ﻲﻳﺎﻫ ﻢﺴﻴﻧﺎﻜﻣ ﺮﺑ ﻲﻨﺘﺒﻣ ﺺﻟﺎﺧ ﻲﻓدﺎﺼﺗ داﺪﻋا (pure R. N.) ﺪﻨﻨﻛ ﺪﻴﻟﻮﺗ ار . ² ﻲﻓدﺎﺼﺗ داﺪﻋا ،يرﺎﮕﻧﺰﻣر رد ﻢﻫ و يزﺎﺳ ﻪﻴﺒﺷ رد ﻢﻫ ﻞﻤﻋ رد ﻪﻜﻠﺑ ،ﺪﻧراﺪﻧ يدﺎﻳز دﺮﺑرﺎﻛ ،ﺺﻟﺎﺧ داﺪﻋا ﻪﺒﺷ ﻲﻓدﺎﺼﺗ (PRN: Pseudorandom N.) ﻪﺑ ﻪﻛ ﺪﻨﺘﺴﻫ ﻲﻳﺎﻬﻤﺘﻳرﻮﮕﻟا و ﺎﻬﺷور ﻞﺻﺎﺣ ﻪﻛ
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