Formulation of the first part

Let zfjioi) be the expected value for the y-th component of the order state vector for product type i at the beginning of the -th period, if in the first period action a, has been taken for type i and if in later periods no production has taken place, (cf. (4.2.1) and (4.2.11)). Let H(ai) be the first period for which the penalty costs for type would be larger than g  

The salvage function is now defined as the expected sum of the costs during the periods reduced with //(a,) times under the following assumptions  

1) During the first period a, orders are produced for type i. 

3) In period H (a,) we produce the required deliveries for the first T,- periods. 

The salvage function L,(a,) thus defined, is slightly different from the salvage function L(A) defined in (4.2.12) and (4.2.13). Now, the salvage function for type i is given by  

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The equality in the relation (40) is valid for all reversible Carnot cycles (with temperatures and To) viewed informationally, and can be considered to be an information formulation of the first part of the Carnot s theorem. 

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