# chapter-5-network-modeling

31.The
equipment replacement problem is an example of which network problem?

 a. transportation problem. b. shortest path problem. c. maximal flow problem. d. minimal spanning tree problem.

32. If a side constraint for a network flow model
cannot be avoided, and non-integer solutions result, how can the solution be
expressed as an integer solution?

 a. Force all the arc flow decision variables to be integer. b. Round off all the non-integer arc flow decision variables. c. Increase the supply until the solutions are all integer using a dummy supply node. d. Increase the demand until the solutions are all integer using a dummy demand node.

33. A maximal flow problem differs from other
network models in which way?

 a. arcs are two directional b. multiple supply nodes are used c. arcs have limited capacity d. arcs have unlimited capacity

34. Maximal flow problems are converted to
transshipment problems by

 a. connecting the supply and demand nodes with a return arc b. adding extra supply nodes c. adding supply limits on the supply nodes d. requiring integer solutions

35. What is the objective function in the
following maximal flow problem?

[Image_Link]https://www.homeworkminutes.com/question/view/118524/file:///C:UsersHOMEWO~1AppDataLocalTempmsohtmlclip1 1clip_image001.png”>

 a. MIN X41 b. MAX X12 + X13 c. MAX X14 d. MAX X41

36. What is the constraint for node 2 in the
following maximal flow problem?

[Image_Link]https://www.homeworkminutes.com/question/view/118524/file:///C:UsersHOMEWO~1AppDataLocalTempmsohtmlclip1 1clip_image002.png”>

 a. X12– X23– X24 = 0 b. X12 + X23 + X24 = 0 c. X12£ 4 d. X12 + X13– X23 = 0

37. What is missing from transportation problems
compared to transshipment problems?

 a. arcs b. demand nodes c. transshipment nodes d. supply nodes

38. Which method is preferred for solving fully
connected transportation problems?

 a. linear programming b. network flow methods c. trial and error d. simulation

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

 a. When an integer solution is required. b. When the problem is large and not fully connected. c. When the problem is large and fully connected. d. When supply exceeds demand.

40. Which method is preferred for solving minimal
spanning tree problems?

 a. linear programming b. transshipment models c. simulation d. manual algorithms

41. How many arcs are required to make a spanning
tree in a network with n nodes and m arcs?

 a. n b. n- 1 c. m d. m- 1

42. The minimal spanning tree solution algorithm
works by defining a subnetwork and

 a. adding the least expensive arc which connects any node in the current subnetwork to any node not in the current subnetwork. b. adding the most expensive arc which connects any node in the current subnetwork to any node not in the current subnetwork. c. adding the least expensive arc which connects unconnected nodes in the current subnetwork. d. adding the least expensive arc which connects the most recently added node in the current subnetwork to the closest node not in the current subnetwork.

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