Exam 2 Sec 1 Flashcards
resource constraint
A functional constraint with a ≤ sign.
benefit constraint
A functional constraint with a ≥ sign
fixed-requirement constraint
A functional constraint with an = sign.
resource-allocation problem
concerned with allocating resources to activities. Its constraint is a resource constraint.
cost-benefit-trade-off problem
the trade-off between the total cost of the activities and the benefits to be achieved by these activities. Its constraint is a benefit constraint.
mixed problem
Any linear programming problem that includes at least two of the three types of functional constraints (resource, benefit, and fixed-requirement)
transportation problem
Involves finding a shipping plan that minimizes the total cost of transporting a product from a number of plants to a number of customers. Constraint is a fixed-requirement constraint
assignment problem
Involves assigning people to tasks so as to minimize the total cost of performing these tasks. Constraint is a fixed-requirement constraint
min cost problem
at least one supply and demand node.
A feasible solution will exist if total supply matches total demand.
The number of supply nodes can be different from the number of demand nodes.
max cost problem
the total shipping capacity of its supply network, which links a single manufacturing plant to a single customer
IE+30
infinity
Allowable range
Your Objective coefficient minus the Allowable decrease and then the Objective coefficient plus the Allowable increase
Optimal solution
how much you’re producing at each one (yellow cell)
100% rule
if the sum of the percentage changes does not exceed 100% the original optimal solution definitely will still be optimal
node
A junction point of a network, shown as a labeled circle.
supply node
A node where the net amount of flow generated (outflow minus inflow) is a fixed positive number.
demand node
A node where the net amount of flow generated (outflow minus inflow) is a fixed negative number, so that flow is absorbed there.
arc
A channel through which flow may occur from one node to another, shown as an arrow between the nodes pointing in the direction in which flow is allowed.
Transshipment problems
the shipments from the sources (supply nodes) to the destinations (demand nodes) might also pass through intermediate transfer points (transshipment nodes) such as distribution centers.
transshipment node
A node where the amount of flow out equals the amount of flow in.
5 types of network optimization problems
Assignment, Transportation, Transshipment, max/min flow, shortest path
Area graph
displays total frequency, group frequency, and time series data?
Pie
shows the relationship of parts to the whole
Oral reports can be delivered in several ways:
(1) in a physical venue, (2) via a web-based delivery platform or intranet, or (3) in combination.
data visualization
the process of developing a research report’s textual, tabular, graphical, and video/audio support materials
support materials
data visualizations, their interpretations, as well as the stories, audio or video clips, and demonstrations that showcase and validate a research study’s insights and recommendations.
The requirements of having a good title
concise but at the same time you want to make sure that it clearly identifies the topic of the report
Shortest path assumption 1
You need to choose a path through the network that starts at the origin and ends at the destination.
Shortest path assumption 2
The lines connecting certain pairs of nodes commonly are links (which allow travel in either direction), although arcs (which only permit travel in one direction) are also allowed.
Shortest path assumption 3
Associated with each link (or arc) is a nonnegative number called its length.
Shortest path assumption 4
The objective is to find the shortest path from the origin to the destination.
what if analysis
The process of determining the effect of changing objective function coefficients, right-hand side values of constraints, and decision variable values on a linear program
