Exam 7: Network Flow Models
Exam 1: Management Science121 Questions
Exam 2: Linear Programming: Model Formulation and Graphical Solution122 Questions
Exam 3: Linear Programming: Computer Solution and Sensitivity Analysis95 Questions
Exam 4: Linear Programming: Modeling Examples90 Questions
Exam 5: Integer Programming107 Questions
Exam 6: Transportation, Transshipment, and Assignment Problems98 Questions
Exam 7: Network Flow Models104 Questions
Exam 8: Project Management116 Questions
Exam 9: Multicriteria Decision Making103 Questions
Exam 10: Nonlinear Programming72 Questions
Exam 11: Probability and Statistics152 Questions
Exam 12: Decision Analysis122 Questions
Exam 13: Queuing Analysis123 Questions
Exam 14: Simulation100 Questions
Exam 15: Forecasting133 Questions
Exam 16: Inventory Management157 Questions
Exam 17: the Simplex Solution Method90 Questions
Exam 18: Transportation and Assignment Solution Methods86 Questions
Exam 19: Integer Programming: the Branch and Bound Method63 Questions
Exam 20: Nonlinear Programming: Solution Techniques55 Questions
Exam 21: Game Theory64 Questions
Exam 22: Markov Analysis64 Questions
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Once a decision maker has determined the shortest route to any node in the network, that node becomes a member of the ________.
(Short Answer)
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To determine the maximum possible flow of railroad cars through the rail system, they should first select the longest path from origin to destination and ship as much as possible on that path.
(True/False)
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Pro-Carpet company manufactures carpets in Northwest Indiana and delivers them to warehouses and retail outlets. The network diagram given in the figure below shows the possible routes and travel times (in minutes) from the carpet plant to the various warehouses or retail outlets.
V = Valparaiso, P=Portage, G=Gary, Ha=Hammond, Hi=Highland, M = Merillville, L = Lansing
-Write the constraint associated with the Valparasio (source) node for the 0-1 integer linear programming formulation of the shortest route problem.

(Short Answer)
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The maximal flow solution algorithm allows the user to choose a path through the network from the origin to the destination by any criteria.
(True/False)
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If we wanted to represent water resources as a network flow problem, which of the following would be represented as nodes?
(Multiple Choice)
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Regardless of the number of nodes in a network, the minimal spanning tree never contains the two nodes with the greatest distance between them.
(True/False)
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Draw the network associated with the following constraints for a shortest route problem.
X12 + X13 = 1
X12 - X24 = 0
X13 - X34 = 0
X24 + X34 - X45 = 0
X45 = 1
(Essay)
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Refer to the figure below to answer the following questions.
Figure 3
-Consider the network diagram given in Figure 3 with the indicated flow capacities along each branch. What is the objective function for the 0-1 integer linear programming formulation of the maximal flow problem?

(Short Answer)
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-If the origin node for this network is node number 1 and flow proceeds from node 1 to node 6, what is the shortest route through the network?

(Short Answer)
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Pro-Carpet company manufactures carpets in Northwest Indiana and delivers them to warehouses and retail outlets. The network diagram given in the figure below shows the possible routes and travel times (in minutes) from the carpet plant to the various warehouses or retail outlets.
V = Valparaiso, P=Portage, G=Gary, Ha=Hammond, Hi=Highland, M = Merillville, L = Lansing
-Write the constraint associated with the Lansing (destination) node for the 0-1 integer linear programming formulation of the shortest route problem.

(Short Answer)
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Figure 1. Delivery Routes
-Consider the network diagram given in Figure 1. Assume that the amount on each branch is the distance in miles between the respective nodes. Also assume that it is not possible to travel from a node with a higher number to a node with a lower number. Write the constraint associated with the second node (node 2) for the 0-1 integer linear programming formulation of the shortest route problem.

(Short Answer)
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Refer to the figure below to answer the following questions.
Figure 3
-Consider the network diagram given in Figure 3 with the indicated flow capacities along each branch. What is the input-output constraint associated with the fifth node of the network diagram for the 0-1 integer linear programming formulation of the maximal flow problem?

(Short Answer)
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The maximal flow algorithm may end with capacity remaining at the source.
(True/False)
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Pro-Carpet company manufactures carpets in Northwest Indiana and delivers them to warehouses and retail outlets. The network diagram given in figure below shows the possible routes and distances from the carpet plant in Valparaiso to the various warehouses or retail outlets.
V = Valparaiso, P=Portage, G=Gary, Ha=Hammond, Hi=Highland, M = Merillville, L = Lansing
-What is the distance for the shortest route from the carpet plant in Valparaiso to retail outlet in Lansing, Illinois. State the total completion time in minutes.

(Multiple Choice)
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Figure 4
-Determine the minimum distance required to connect all nodes in Figure 4.

(Multiple Choice)
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Determining where capacity needs to be added within a series of one-way roads within a park represents a ________ model.
(Short Answer)
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In networks with fewer than five nodes, the minimal spanning tree algorithm will yield answers identical to the maximal flow solution approach.
(True/False)
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