Exam 5: Network Models

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The cost of an arc in a shortest path problem is equal to the distance of the arc.

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The objective in transportation problems is typically to:

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For all routes with positive flows in an optimized transportation problem,the reduced cost will be:

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The decision variables in transportation problems are:

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A particularly useful Excel function in the formulation of transportation problems is the:

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A minimum cost network flow model (MCNFM)has the following advantage relative to the special case of a simple transportation model:

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Exhibit 5-2 A small engineering firm employs one civil engineer,two engineering technicians,and one summer intern.The types of projects the firm does includes surveys (typically 7 per month),designs (5 per month),and construction project plans (four per month).The times,in hours,required for each employee to complete teach type of project are shown below.Based on their capabilities and time spent on travel and administrative tasks,the engineer,tech 1,tech 2,and intern can handle 5,4,4,and 3 projects per month,respectively. Exhibit 5-2 A small engineering firm employs one civil engineer,two engineering technicians,and one summer intern.The types of projects the firm does includes surveys (typically 7 per month),designs (5 per month),and construction project plans (four per month).The times,in hours,required for each employee to complete teach type of project are shown below.Based on their capabilities and time spent on travel and administrative tasks,the engineer,tech 1,tech 2,and intern can handle 5,4,4,and 3 projects per month,respectively.    -Refer to Exhibit 5-2.Implement a LP model in Solver and determine the optimal monthly assignment plan for the firm.What is the total number of hours that will be assigned to projects each month? -Refer to Exhibit 5-2.Implement a LP model in Solver and determine the optimal monthly assignment plan for the firm.What is the total number of hours that will be assigned to projects each month?

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Transshipment points are locations where goods neither originate nor end up,but goods are allowed to enter such points to be shipped out to their eventual destinations.

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Exhibit 5-3 Steve the auto parts salesman is trying to navigate his way between the rural west Texas towns of Jonestown and Upland.The possible routes for this trip are shown below,along with the mileage along each route. Exhibit 5-3 Steve the auto parts salesman is trying to navigate his way between the rural west Texas towns of Jonestown and Upland.The possible routes for this trip are shown below,along with the mileage along each route.     -Refer to Exhibit 5-3.Implement the appropriate model in Solver and determine the shortest path for Steve.How many total miles will he travel on his trip? Exhibit 5-3 Steve the auto parts salesman is trying to navigate his way between the rural west Texas towns of Jonestown and Upland.The possible routes for this trip are shown below,along with the mileage along each route.     -Refer to Exhibit 5-3.Implement the appropriate model in Solver and determine the shortest path for Steve.How many total miles will he travel on his trip? -Refer to Exhibit 5-3.Implement the appropriate model in Solver and determine the shortest path for Steve.How many total miles will he travel on his trip?

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In transportation problems,shipments between supply points or between demand points are possible.

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