seating arrangement that meets this objective as a maximum flow problem. Assume that the company has n departments, and the ith department has m; members. Also assume that t tables are available and the jth table has a seating capacity of c;. Provide a step by step algorithm for this problem for maximizing the flow and analyze its running time.

MIS
9th Edition
ISBN:9781337681919
Author:BIDGOLI
Publisher:BIDGOLI
Chapter10: Building Successful Information Systems
Section: Chapter Questions
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You are organizing a big dinner party for your company retreat. To increase social interaction among the
various departments in your company, you would like to set up a seating arrangement so that no two
members of the same departments are at the same table. Show how to formulate the problem of finding a
seating arrangement that meets this objective as a maximum flow problem. Assume that the company has n
departments, and the ith department has m; members. Also assume that t tables are available and the jth table
has a seating capacity of c. Provide a step by step algorithm for this problem for maximizing the flow and
analyze its running time.
Transcribed Image Text:You are organizing a big dinner party for your company retreat. To increase social interaction among the various departments in your company, you would like to set up a seating arrangement so that no two members of the same departments are at the same table. Show how to formulate the problem of finding a seating arrangement that meets this objective as a maximum flow problem. Assume that the company has n departments, and the ith department has m; members. Also assume that t tables are available and the jth table has a seating capacity of c. Provide a step by step algorithm for this problem for maximizing the flow and analyze its running time.
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