A book binder has one printing press, one binding machine and manuscripts of 7 different books. The times required for performing printing and binding operations for different books are shown below. Book 1 2 3 4 5 6 7 Printing time (hours) 20 90 80 20 120 15 65 Binding time (hours) 25 60 75 30 90 35 50 Decide the optimum sequence of processing of books in order to minimize the total time required to bring out all the books.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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A book binder has one printing press, one binding machine and manuscripts of 7 different books. The times required for performing printing and binding operations for different books are shown below.

Book 1 2 3 4 5 6 7
Printing time (hours) 20 90 80 20 120 15 65
Binding time (hours) 25 60 75 30 90 35 50

Decide the optimum sequence of processing of books in order to minimize the total time required to bring out all the books.

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