Exam 5: Network Modeling

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Draw the network and indicate how many units are flowing along each arc based on the following Analytic Solver Platform solution. Draw the network and indicate how many units are flowing along each arc based on the following Analytic Solver Platform solution.

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Draw the network representation of the following network flow problem. Draw the network representation of the following network flow problem.

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​Any shortest path problem can be modeled as a transshipment problem.

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When might a network flow model for a transportation/assignment problem be preferable to a matrix form for the problem?

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The supply nodes in the graphical representation of the transshipment problem:

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A company wants to manage its distribution network which is depicted below. Identify the supply, demand and transshipment nodes in this problem. ​ A company wants to manage its distribution network which is depicted below. Identify the supply, demand and transshipment nodes in this problem. ​

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An oil company wants to create lube oil, gasoline and diesel fuel at two refineries. There are two sources of crude oil. The following Excel spreadsheet shows this problem. What formula should be entered in cell E6 (and copied to cells E7:E15) in this spreadsheet? An oil company wants to create lube oil, gasoline and diesel fuel at two refineries. There are two sources of crude oil. The following Excel spreadsheet shows this problem. What formula should be entered in cell E6 (and copied to cells E7:E15) in this spreadsheet?

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A number of practical decision problems in business fall into a category known as network flow problems. These problems can be described or displayed in a graphical form known as a network.

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A company needs to ship 100 units from Seattle to Denver at the lowest possible cost. The costs associated with shipping between the cities are: A company needs to ship 100 units from Seattle to Denver at the lowest possible cost. The costs associated with shipping between the cities are:   ​ What values should go into cells G6:L13 in the following Excel spreadsheet?  ​ What values should go into cells G6:L13 in the following Excel spreadsheet? A company needs to ship 100 units from Seattle to Denver at the lowest possible cost. The costs associated with shipping between the cities are:   ​ What values should go into cells G6:L13 in the following Excel spreadsheet?

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The transshipment nodes in the graphical representation of the transshipment problem:

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The supply nodes in the graphical representation of the transshipment problem:

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The right hand side value for the starting node in a shortest path problem has a value of

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Supply quantities for supply nodes in a transshipment problem are customarily indicated by

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Joe Fix plans the repair schedules each day for the Freeway Airline. Joe has 3 planes in need of repair and 5 repair personnel at his disposal. Each plane requires a single repairperson, except plane 3, which needs 2 personnel. Anyone not assigned to maintaining an airplane works in the maintenance shop for the day (not modeled). Each repairperson has different likes and dislikes regarding the types of repairs they prefer. For each plane, Joe has pulled the expected maintenance and determined the total preference matrix for his repair personnel. The preference matrix is: Joe Fix plans the repair schedules each day for the Freeway Airline. Joe has 3 planes in need of repair and 5 repair personnel at his disposal. Each plane requires a single repairperson, except plane 3, which needs 2 personnel. Anyone not assigned to maintaining an airplane works in the maintenance shop for the day (not modeled). Each repairperson has different likes and dislikes regarding the types of repairs they prefer. For each plane, Joe has pulled the expected maintenance and determined the total preference matrix for his repair personnel. The preference matrix is:   Draw the balanced network flow for this assignment problem assuming Joe would like to maximize the total preference in his worker-to-aircraft schedule. Draw the balanced network flow for this assignment problem assuming Joe would like to maximize the total preference in his worker-to-aircraft schedule.

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What is the constraint for node 2 in the following shortest path problem? ​ What is the constraint for node 2 in the following shortest path problem? ​   ​

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A node which can both send to and receive from other nodes is a

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In the shortest path problem, the originating and terminating network nodes are called:

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The arcs in a network indicate all of the following except?

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Which property of network flow models guarantees integer solutions?

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Transportation/assignment problems are sparse or not fully interconnected, meaning all the supply nodes have arcs connecting them to all the demand nodes.

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