Question 1

In order to solve a transshipment problem, the number of intermediate points

Accepted Answer

The number of intermediate points in a transshipment problem can be any number and is not necessarily related to the number of origins or destinations. The problem focuses on optimizing the transportation of goods from origins to destinations, possibly through intermediate points, without restrictions on their number.

Question 2

In the linear programming formulation of the transshipment problem, there are a set of constraints that require the total shipment to each intermediate point be the total shipment out of each intermediate point.

Accepted Answer

In the transshipment problem, the total shipment to each intermediate point must be equal to the total shipment out of each intermediate point to ensure that all goods passing through the intermediate point are accounted for, maintaining the balance of inflow and outflow at these points.

Question 3

In the linear programming formulation of the transshipment problem, demand at the destination points is required to be satisfied from shipment from

Accepted Answer

The answer of In the linear programming formulation of the...

Question 4

A transshipment problem has 3 origins, 2 intermediate points, and 4 destinations. The number of constraints in the linear programming formulation crafted from the principles discussed in the text will be

Accepted Answer

The number of constraints in a transshipment problem's linear programming formulation includes the supply constraints at the origins, the demand constraints at the destinations, and the balance constraints at the intermediate points. With 3 origins, 2 intermediate points, and 4 destinations, we have 3 supply constraints, 4 demand constraints, and 2 balance constraints, totaling 9 constraints.

Question 5

A transshipment problem has 3 origins, 4 intermediate points, and 2 destinations. In the linear programming formulation, using the principles discussed in the text, the number of constraints with 0 on the RHS will be

Accepted Answer

The answer of A transshipment problem has 3 origins, 4...

Question 6

The number of possible assignments in an assignment problem with 6 jobs and 6 workers to assign them to would be

Accepted Answer

The number of possible assignments in an assignment problem with 6 jobs and 6 workers is a permutation problem, calculated as 6! (6 factorial), which equals 720.

Question 7

The number of constraints in the standard linear programming formulation of a 6 worker- 6 jobs assignment problem using the approach presented in the text will be

Accepted Answer

In a standard linear programming formulation of a 6 worker-6 jobs assignment problem, there are 12 constraints: 6 constraints to ensure that each worker is assigned to exactly one job, and 6 constraints to ensure that each job is assigned to exactly one worker.

Question 8

Using the approach presented in the text, the number of decision variables required for formulation of an assignment problem with 6 jobs and 6 workers will be

Accepted Answer

In an assignment problem, each job can be assigned to one worker, and each worker can be assigned to one job. The number of decision variables is equal to the number of job-worker pairs. With 6 jobs and 6 workers, there are 6 x 6 = 36 possible pairs, hence 36 decision variables.

Question 9

In an assignment problem, suppose we have 5 projects and a potential list of 6 managers who could be the project manager for any one of the projects. The problem can be formulated by adding a thus converting it to a standard assignment problem.

Accepted Answer

A dummy project is added to the assignment problem to ensure that all managers are assigned to a project.

Question 10

Coast to Central Plains Inc. has warehouses in Piscataway, San Francisco, and Miami. It supplies the demand at four distribution centers in Austin, Lafayette, Toledo, and Knoxville from these warehouses. Data on cost, demand, and supply are given in the table below. Solve this using excel and report the optimal solution and the total cost corresponding to the optimal solution.

Accepted Answer

The answer of Coast to Central Plains Inc. has warehouses...

Question 11

Coast to Central Plains Inc. has warehouses in Piscataway, San Francisco, and Miami. It supplies the demand at four distribution centers in Austin, Lafayette, Toledo, and Knoxville from these warehouses. Data on cost, demand, and supply are given in the table below. Solve this using excel and report the optimal solution and the total cost corresponding to the optimal solution.

Accepted Answer

The answer of Coast to Central Plains Inc. has warehouses...

Question 12

Carlos Ginsburg, a manger at Transship Inc., recently returned from a seminar on transshipment type problems. He wanted to cast his company's shipping plan into a transshipment problem. Formulate the problem and help Carlos get his promotion.

Accepted Answer

The answer of Carlos Ginsburg, a manger at Transship Inc.,...

Question 13

Phil Chandler Insurance Agency has 4 potential clients to allocate among 5 salesmen. The expected sales for each salesman-client allocation is given in the following table. Using the assignment model, find the best assignment of salesman to client.

Accepted Answer

The answer of Phil Chandler Insurance Agency has 4 potential...

Quiz 6: Transportation, Assignment, and Transshipment Problems

In order to solve a transshipment problem, the number of intermediate points

In the linear programming formulation of the transshipment problem, there are a set of constraints that require the total shipment to each intermediate point be the total shipment out of each intermediate point.

In the linear programming formulation of the transshipment problem, demand at the destination points is required to be satisfied from shipment from

A transshipment problem has 3 origins, 2 intermediate points, and 4 destinations. The number of constraints in the linear programming formulation crafted from the principles discussed in the text will be

A transshipment problem has 3 origins, 4 intermediate points, and 2 destinations. In the linear programming formulation, using the principles discussed in the text, the number of constraints with 0 on the RHS will be

The number of possible assignments in an assignment problem with 6 jobs and 6 workers to assign them to would be

The number of constraints in the standard linear programming formulation of a 6 worker- 6 jobs assignment problem using the approach presented in the text will be

Using the approach presented in the text, the number of decision variables required for formulation of an assignment problem with 6 jobs and 6 workers will be

In an assignment problem, suppose we have 5 projects and a potential list of 6 managers who could be the project manager for any one of the projects. The problem can be formulated by adding a thus converting it to a standard assignment problem.

Carlos Ginsburg, a manger at Transship Inc., recently returned from a seminar on transshipment type problems. He wanted to cast his company's shipping plan into a transshipment problem. Formulate the problem and help Carlos get his promotion.

Phil Chandler Insurance Agency has 4 potential clients to allocate among 5 salesmen. The expected sales for each salesman-client allocation is given in the following table. Using the assignment model, find the best assignment of salesman to client.