Exam 23: Transportation, Assignment, and Network Algorithms

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The objective of an assignment problem solution most often is to minimize the total costs or time of performing the assigned tasks.

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Table M8-1 Table M8-1   -What is the total cost represented by the solution shown in Table M8-1? -What is the total cost represented by the solution shown in Table M8-1?

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Table M8-18 LW Enterprises is a specialty cat breeder with operations located in Wichita, Oklahoma City, Nashville, Lubbock and Enumclaw.These cats are used as historical reenactors on US Civil War battlefields throughout the summer months.Clad in Union blue or Confederate gray and equipped with their tiny rifles and saucers of milk, they thrill crowds of Civil War buffs from Gettysburg all the way down to Vicksburg.The cost (in dollars)of shipping each cat from all possible combinations of supply and demand locations is shown in the table. Table M8-18 LW Enterprises is a specialty cat breeder with operations located in Wichita, Oklahoma City, Nashville, Lubbock and Enumclaw.These cats are used as historical reenactors on US Civil War battlefields throughout the summer months.Clad in Union blue or Confederate gray and equipped with their tiny rifles and saucers of milk, they thrill crowds of Civil War buffs from Gettysburg all the way down to Vicksburg.The cost (in dollars)of shipping each cat from all possible combinations of supply and demand locations is shown in the table.    -What is the minimum shipping cost achievable in the scenario presented in Table M8-18? -What is the minimum shipping cost achievable in the scenario presented in Table M8-18?

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Table M8-18 LW Enterprises is a specialty cat breeder with operations located in Wichita, Oklahoma City, Nashville, Lubbock and Enumclaw.These cats are used as historical reenactors on US Civil War battlefields throughout the summer months.Clad in Union blue or Confederate gray and equipped with their tiny rifles and saucers of milk, they thrill crowds of Civil War buffs from Gettysburg all the way down to Vicksburg.The cost (in dollars)of shipping each cat from all possible combinations of supply and demand locations is shown in the table. Table M8-18 LW Enterprises is a specialty cat breeder with operations located in Wichita, Oklahoma City, Nashville, Lubbock and Enumclaw.These cats are used as historical reenactors on US Civil War battlefields throughout the summer months.Clad in Union blue or Confederate gray and equipped with their tiny rifles and saucers of milk, they thrill crowds of Civil War buffs from Gettysburg all the way down to Vicksburg.The cost (in dollars)of shipping each cat from all possible combinations of supply and demand locations is shown in the table.    -Which locations ship cats to Antietam given the shipping costs presented in Table M8-18? -Which locations ship cats to Antietam given the shipping costs presented in Table M8-18?

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Mr.Miyagi hires the Magnificent Seven to take care of a few chores around his house while he spends some quality time with his young protegee.Each of the Magnificent Seven quotes Mr.Miyagi a price for the seven tasks and Mr.Miyagi would like to pay as little as possible for all seven.What is the best price possible and which person should perform which task? Mr.Miyagi hires the Magnificent Seven to take care of a few chores around his house while he spends some quality time with his young protegee.Each of the Magnificent Seven quotes Mr.Miyagi a price for the seven tasks and Mr.Miyagi would like to pay as little as possible for all seven.What is the best price possible and which person should perform which task?

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Given the pipeline fluid flows indicated below, determine the maximum flow from Node 1 to Node 5. Given the pipeline fluid flows indicated below, determine the maximum flow from Node 1 to Node 5.

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The east-to-west (City 5 to City 1)air traffic system passing through the United States can handle aircraft flows with capacities in hundreds of planes per hour as shown.What is the peak air traffic load in aircraft per hour from City 5 to City 1 that this system can handle? The east-to-west (City 5 to City 1)air traffic system passing through the United States can handle aircraft flows with capacities in hundreds of planes per hour as shown.What is the peak air traffic load in aircraft per hour from City 5 to City 1 that this system can handle?

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The maximal-flow technique might be used by the U.S.Army Corps of Engineers to study water run-off in an attempt to minimize the danger from floods.

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Table M8-18 LW Enterprises is a specialty cat breeder with operations located in Wichita, Oklahoma City, Nashville, Lubbock and Enumclaw.These cats are used as historical reenactors on US Civil War battlefields throughout the summer months.Clad in Union blue or Confederate gray and equipped with their tiny rifles and saucers of milk, they thrill crowds of Civil War buffs from Gettysburg all the way down to Vicksburg.The cost (in dollars)of shipping each cat from all possible combinations of supply and demand locations is shown in the table. Table M8-18 LW Enterprises is a specialty cat breeder with operations located in Wichita, Oklahoma City, Nashville, Lubbock and Enumclaw.These cats are used as historical reenactors on US Civil War battlefields throughout the summer months.Clad in Union blue or Confederate gray and equipped with their tiny rifles and saucers of milk, they thrill crowds of Civil War buffs from Gettysburg all the way down to Vicksburg.The cost (in dollars)of shipping each cat from all possible combinations of supply and demand locations is shown in the table.    -What is the lowest unused shipping cost (that is, no cats are sent between the two cities with this cost)if a shipping plan is devised to minimize the overall total cost of shipping for the scenario presented in Table M8-18? -What is the lowest unused shipping cost (that is, no cats are sent between the two cities with this cost)if a shipping plan is devised to minimize the overall total cost of shipping for the scenario presented in Table M8-18?

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The transportation algorithm can be used to solve both minimization problems and maximization problems.

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Once one improvement is made to a transportation network using the stepping-stone method, the solution is optimal.

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Table M8-3 Table M8-3   The following improvements are proved for Table M8-3:    -The cell improvement indices for Table M8-3 suggest that the optimal solution has been found.Based on this solution, how many units would actually be sent from source C? The following improvements are proved for Table M8-3: Table M8-3   The following improvements are proved for Table M8-3:    -The cell improvement indices for Table M8-3 suggest that the optimal solution has been found.Based on this solution, how many units would actually be sent from source C? -The cell improvement indices for Table M8-3 suggest that the optimal solution has been found.Based on this solution, how many units would actually be sent from source C?

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Which of the following problems can be solved as a linear program using integer decision variables?

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Which of the following techniques can be used for moving from an initial feasible solution to an optimal solution in a transportation problem?

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Why don't we want to use the transportation algorithm to solve the assignment problem?

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The maximal-flow technique would best be used

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The origin or beginning node in a network is called

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Given a network with the following distances: Given a network with the following distances:    Determine which nodes should be connected to get the minimum distance from Nodes 1 through 6. Determine the minimum distance. Determine which nodes should be connected to get the minimum distance from Nodes 1 through 6. Determine the minimum distance.

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Find the shortest route from Node 1 to Node 5 using the shortest-route technique. Find the shortest route from Node 1 to Node 5 using the shortest-route technique.

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Objectives of the assignment problem would be most likely to include

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