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Unit 4 Intellipath Multiple Choice Data Driven Decision Making Colorado Technical University MATH 451 Unit 4 Intellipath Colorado Tech University What is the value assigned to each node in an as... signment mode? Network Flow Models Suppose that you have three sources, three transshipment nodes, and three destination nodes, where each source can ship to any of the transshipment nodes, and any transshipment node can ship to any destination node. If you set this up as shown in the examples, there may be decision variables that really cannot be used. How many real decision variables are there in this problem? How many nodes and type of nodes can a network modeling application have? Which one of the following happens at a supply point? What is included in shortest path models? What other name is supply point denoted by? What other name is demand point denoted by? Link costs are positive integers. Source, demand, and link capacities are likewise positive. Click on the conditions that are necessary? Network flow models can solve the problem of assigning agents to tasks. An example of this would be assigning drivers to truck routes. What does a flow in this model represent? What is the numerical value of net flow at a transshipment point? 0 In a shortest path problem, each link will be assigned a number, and in the solution, each decision variable will also be assigned a number. What do those numbers represent? Suppose that you have three sources, three transshipment nodes, and three destination nodes. If you set this up as shown in the examples, how many decision variables will you have? Click on the graph that looks like a 3 × 3 assignment problem. What is the important characteristic of assignment model? What type of node can a network model have? What is net flow? Which of the following kinds of model would be used to assess the effect of adding a new distribution point to a network? In a general network flow model, what does each link have? Which of the following is true regarding a pure demand node? What type of node can a network model have? Counting is an important aspect of mathematics. Suppose that you have two sources and two sinks, with each source capable of producing two units and each sink requiring two units. Assume that the units are indistinguishable. The following diagram shows the connections: How many different ways are there to satisfy the demand for two units at each of the blue sinks? Which one of the following happens at transshipment node? . For a minimal spanning tree, what can be said about links and variables? A transportation company pays its drivers according to the following chart using its buses. What is the flow balance equation for Mike? How many possible solutions does the transportation company need to consider if it had 6 drivers? How many more drivers does the transportation company need to hire to make the application a balance assignment model? What is the numerical value of the objective function? Which driver was assigned to route 3? Which driver was assigned to route 1? A new agent has been added, so you have a total of six agents and five tasks. The costs are listed in the following: Costs T1 | T2 | T3 | T4 | T5 A1 | 0.39 | -0.065 -0.066 -0.417 0.308 A2 A3 A4 A5 A6 | -0.736 -0.089 0.978 0.641 -0.822 0.549 0.052 -0.83 -0.141 0.118 0.415 -0.339 -0.369 -0.531 -0.488 -0.669 0.329 0.718 0.707 -0.55 0.751 -0.002 0.016 -0.996 0.859It turns out that your researcher was confused, and the data refer to profit, not cost. If the assignment is made to maximize profit, which tasks are agents A1 and A2 assigned to? The answer will be a pair of numbers. For example 7, 9 would indicate that Agent 1 is assigned to Task 7 and that Agent 2 assigned to Task 9. If the optimal assignment is made to reduce the total cost, which of the following agents is not assigned? If the optimal assignment is made to reduce the total cost, what is the total cost? There are several ways to block the assignment of Agent A5 to Task T1, as follows: i.Add a constraint that the cell that represents the assignment of A5 to T1 is set to 0. ii.Do not include the cell that represents the assignment of A5 to T1 in the decision variables. iii.Change the cost to something large. iv.Run the solver, and if A5 is not assigned to T1, you are done. Which of the following statements accurately describes the advantages and disadvantages of the methods? The following table shows the cost of assigning agent sub(A,i) to task sub(T,j): → T1 T2 T3 T4 T5 A1 26 38 11 37 36 A2 37 36 25 49 11 A3 21 36 23 15 12 A4 40 29 44 42 35 A5 46 44 28 27 14 Find the minimum cost assignment. The total cost is It has been discovered that these are actually the profits that were made from each possible assignment. Compute the assignment that maximizes the profits. What is the maximum profit? 211 Suppose that it turns out that Agent 3 cannot be assigned to either T1 or T2. Find the minimum cost assignment. What is the total cost? 106 Find the minimum cost assignment. To what tasks are Agents 4 and 5 assigned?This should be specified as a pair of numbers; for example, 1, 2 would mean that Agent 4 is assigned to Task 1 and that Agent 5 is assigned to Task 2. Suppose that it turns out that Agent 3 cannot be assigned to either T1 or T2. How would you change the spreadsheet to represent this constraint? Which of the following is correct in a balanced assignment model? Which of the following is correct in an unbalanced assignment model? Which of the following is correct in an assignment model? What is the value assigned to each node in an assignment mode? 1 ______________________________________________________________________________ ______________________________________________________ Transportation Model A transportation company delivers chairs made by a furniture department from their factories to their warehouses according to the following chart. Also the supply and the demand of chairs are provided in the chart as well. What is the balance constraint for Houston? How many chairs are left at the supply node after delivery? Which one of the supply nodes runs out of chairs first? How much is the total shipping cost for Los Angeles? What is the numerical value for the objective function? How many chairs are delivered from Charlotte to Houston? To what capacity can Kansas City plant lower its production to fully deliver all required chairs and have no left over at any supply node? What is the numerical value of objective function if Kansas City lowers its production down by 50 chairs? What is the objective function? Suppose that you have three supply nodes S1–S3 and four demand nodes D1–D4 with the following costs of shipping from S_i to D_j: D1 | D2 | D3 | D4 S1 | 13 | 7 | 5 | 6 S2 | 12 | 10 | 4 | 11 S3 | 4 | 14 | 8 | 9 The demand node requirements are as follows: Node D1 Required | D2 100 | D3 120 | D4 150 | 280 The supply capacities are as follows: Node S1 Capacity | S2 300 | S3 150 | 200Use Solver to compute the solution in Excel. How many units are shipped from S1 to D2? Transportation Example Demand | Total Supply at Node S_i D1 D2 | D3 Sources S1 13 | 7 | 5 S2 | 12 | 10 | 4 S3 4 14 Total demand at node D_i 90 | 120 D4 6 300 11 150 8 9 200 150 280 Based on the given table, how much can S2 supply? In the given table, you see the costs and the supply and demand constraints. What is the required supply at node D2? In the given table, the cell where row S3 and column D3 intersect contains a value of 8. What does this mean? The following figure shows a possible layout of a transportation problem. The light green area has the costs and constraints. The light gray area shows the decision variables. The given figure shows an example of a transportation problem. Why is it important to clearly label it? Let sub(c,i,j) be the cost of shipping a u [Show More]

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