मसृणकारी स्थिरांक के किस मान के लिए वर्तमान अवधि का पूर्वानुमान पिछली अवधि के पूर्वानुमान के बराबर हो जाता है?

This question was previously asked in
BPSC AE Paper 6 (Mechanical) 2012 Official Paper
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Answer (Detailed Solution Below)

Option 3 : 0
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व्याख्या:

मसृणकारी स्थिरांक विधि में पूर्वानुमान मूल्य निम्नलिखित द्वारा दिया जाता है-

Ft = Ft-1 + α [ Dt-1 - Ft-1 ]

जहां Ft = वर्तमान अवधि का पूर्वानुमान, Ft-1 = अंतिम अवधि का पूर्वानुमान, Dt-1 = अंतिम अवधि की मांग, α = मसृणकारी स्थिरांक

α = 0 के लिए

Ft = Ft-1 

इसलिए α = 0 के लिए केवल वर्तमान अवधि का पूर्वानुमान अंतिम अवधि के पूर्वानुमान के बराबर हो जाता है।

Important Points

α = 1 के लिए वर्तमान अवधि का पूर्वानुमान पिछली अवधि की मांग के बराबर हो जाएगा।

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