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The network simplex method can be used to solve minimum cost flow problems with over a million arcs

A) True
B) False

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Minimum cost flow problems are the special type of linear programming problem referred to as distribution-network problems

A) True
B) False

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A shortest path problem is required to have only a single destination

A) True
B) False

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The objective of a maximum flow problem is to maximize the total profit generated by sending flow through a network

A) True
B) False

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Which of the following is an example of a transshipment node?


A) Storage facilities
B) Processing facilities
C) Short-term investment options
D) Warehouses
E) All of the above

F) A) and B)
G) B) and E)

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Any minimum cost flow problem where each arc can carry any desired amount of flow is a transshipment problem

A) True
B) False

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Network representations can be used for the following problems:


A) project planning
B) facilities location
C) financial planning
D) resource management
E) all of the above

F) A) and C)
G) B) and E)

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Which of the following is not an assumption of a maximum flow problem?


A) All flow through the network originates at one node,called the source
B) If a node is not the source or the sink then it is a transshipment node
C) Flow can move toward the sink and away from the sink
D) The maximum amount of flow through an arc is given by the capacity of the arc
E) The objective is to maximize the total amount of flow from the source to the sink

F) A) and B)
G) D) and E)

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Which of the following problems are special types of minimum cost flow problems?


A) I and II only
B) I,II,and III only
C) IV only
D) I,II,III,and IV
E) None of the above

F) B) and C)
G) A) and E)

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Which of the following can be used to optimally solve minimum cost flow problems?


A) The simplex method
B) The network simplex method
C) A greedy algorithm
D) a and b only
E) All of the above

F) A) and B)
G) None of the above

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In a true maximum flow problem there is only one source and one sink

A) True
B) False

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In a minimum cost flow problem there can be only one supply node and only one demand node

A) True
B) False

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A minimum cost flow problem will have feasible solutions as long as there is a balance between the total supply from the supply nodes and the total demand at the demand nodes

A) True
B) False

Correct Answer

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A minimum cost flow problem is a special type of:


A) linear programming problem
B) transportation problem
C) spanning tree problem
D) transshipment problem
E) maximum flow problem

F) D) and E)
G) C) and E)

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Shortest path problems are concerned with finding the shortest route through a network

A) True
B) False

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In a minimum cost flow problem,the cost of the flow through each arc is proportional to the amount of that flow

A) True
B) False

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A network model showing the geographical layout of the problem is the usual way to represent a shortest path problem

A) True
B) False

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A network representation is a very specific conceptual aid and is only used in special cases

A) True
B) False

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In a shortest path problem,the lines connecting the nodes are referred to as arcs

A) True
B) False

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A maximum flow problem can be fit into the format of a minimum cost flow problem

A) True
B) False

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