Re: equation solving in a markov model

• To: mathgroup at smc.vnet.net
• Subject: [mg75246] Re: equation solving in a markov model
• From: dh <dh at metrohm.ch>
• Date: Sat, 21 Apr 2007 23:17:27 -0400 (EDT)
• References: <f09gse\$16k\$1@smc.vnet.net>

```
Hi,

your syntax is incorrect: P(0,0) -> P[0,0]. If you changes this, D[A,

Lambda[in]] will evaluate.

hope this helps, Daniel

omur.tosun at gmail.com wrote:

> sorry for the previous massage ....

>

> shortly i prepare a markov availability model....and i'm a bit

> confused, hope someone help me...

>

> a = Lambda[d]/(Lambda[d] + Lambda[in]);

>

>

> P(0, 0)  = 1/(k + (Lambda[in] / Mu[in]) * (k - 1) +

>                           (Lambda[in] / Mu[m]) * (k - 1) +

>                           a* ((1 - a^(n - k)) / (1 - a)) +

>                           (Lambda[in] / Mu[in])* a * ((1 - a^(n -

> k)) / (1 - a)) +

>                          (Lambda[in] / Mu[M]) * a * (( 1 - a^(n -

> k)) / (1 - a)) +

>                          (Lambda[d] / Mu[D]) * a^(n - k));

>

>> Availability (A)  = P(0,0)*(k + (a * (1-a^(n-k))))

>

>> i want to find the optimal Lambda[in] which max. the availability.. is there

>> any way to solve without giving any numerical values? i use D[A, Lambda[in]]

>> but without numerical values i couldn't achieve any solution

>>

>> and i want to plot A-Lambda[in] from the equation, what should i do for it?

>>

>> best regards...

>

>

```

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