Analyzing total cost for a single machine and n jobs, by use of a symmetric matrix arising from a quadratic form of service times

Analyzing total cost for a single machine and n jobs, by use of a symmetric matrix arising from a quadratic form of service times

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Article ID: iaor1990940
Country: Canada
Volume: 25
Issue: 4
Start Page Number: 367
End Page Number: 374
Publication Date: Dec 1989
Journal: Logistics and Transportation Review
Authors:
Abstract:

Sequencing situations are considered in which a certain number of customers have to be served by a single server and each customer has a linear cost function. It is shown that total cost is a quadratic form of service times. The optimal order and Equal Gain Splitting (EGS) rule are analyzed by the symmetric matrix arising from the quadratic form. A formula to find the EGS division rule is given.

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