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The Transshipment Problem in AMPL The formulation of the transshipment problem in AMPL we present here is a straightforward translation of the alternative mathematical...
The Transportation Problem in AMPL AMPL Formulation The formulation of the transportation problem is AMPL is a straightforward translation of the mathematical programme...
\usepackage{amsmath} The Transshipment Problem The transshipment problem is very similar to the transportation problem. It has supply nodes %${\cal S}$% where goods...
\usepackage{amsmath} Blending or Mixing Models One common type of problem solved by linear programming is to determine the optimal blend or mix of inputs to produce...
\usepackage{amsmath} \usepackage{amssymb} The Transportation Problem Introduction The transportation problem is one of the simplest forms of network optimisation...
OpsRes Web Preferences The following settings are web preferences of the OpsRes web. These preferences overwrite the site level preferences in . and...
Sets in AMPL 1 Description 1 Declaring a Set 1 Set Expressions 1 Defining a Set 1 Ordered Sets 1 Set Example 1 Restricted Sets 1 Multi...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} \usepackage{amssymb} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} \usepackage{amssymb} Supply Chain Mathematical Programmes This material is a summary of the material on supply chain networks from Chapter...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Nonlinear Programming Nonlinear programmes are one of the most general types of mathematical programmes. The form of a nonlinear programme...
Facility Location Problems Facility location problems are a classical example of the use of master slave constraints. The following definition of the general facility...
\usepackage{amsmath} Master Slave Constraints Using zero/one variables, we can control the range of values that other variables take. Suppose that %$x {AB}$% (the...
Linear Programming Relaxation The Linear Programming (LP) relaxation is the same as the original integer programme, except we `relax` the integer variables to allow...
Integer Programming Integer programmes are almost identical to linear programmes with one very important exception. Some of the decision variables in integer programmes...
\usepackage{amsmath} Linear Programming The simplest type of mathematical programme is a linear programme . For your mathematical programme to be a linear programme...
Parameters in AMPL 1 Description 1 Declaring a Parameter 1 Parameter Types 1 Parameter Bounds 1 Default Values 1 Defining a Parameter...
JaamSim JaamSim is an open source simulation package built in Java. For more details see the main JaamSim website: https://jaamsim.com/ MichaelOSullivan 28 Jun...
Welcome to the Operations Research Web This web is for learning Operations Research (OR). In this web we emphasise the mathematical models, usually referred to as...
Name Farm Management Personal Nutrition Pet Food Manufacturing Sports Equipment Manufacturing Logistics Industrial Planning Food Manufacturing...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
PuLP Dippy MichaelOSullivan 02 May 2014
Sensitivity Analysis After solving a linear programme, we can use sensitivity analysis to explore what would happen if we make if we made Lauren small changes...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
Adding a Dynamic Plot To add a dynamic plot you simply click on the Plot button, add the expressions that you want to plot, set some parameters that control how...
Variables in AMPL 1 Description 1 Declaring a Variable 1 Variable Types 1 Variable Bounds 1 Initial Values 1 Default Values 1 Accessing...
PuLP and Dippy Tutorial MichaelOSullivan 02 Feb 2011
Editing Process Modules Open the Process module by double clicking. You can change the name of the module by editing the Name field. Next, you must specify the...
Editing Create Modules Open the Create module by double clicking. You can change the name of the module by editing the Name field and the type of entity created...
Working with Submodels Arena provides a way to encapsulate different parts of a model, a submodel . New submodels can be added by using Object Submodel Add Submodel...
Adding and Connecting Modules in Arena You add modules by clicking and dragging them onto the flowchart view. If you have Object Auto Connect checked, then the...
Attaching a Template When creating a new model, Arena provides you with a set of templates. However, you can also add extra templates to your model. To do this go...
Starting Arena The attached flash movie (shown below) shows how to start Arena (in a Windows environment): MichaelOSullivan 21 Jul 200
Editing Decide Modules Decide modules can be added to the flowchart view via dragging and dropping (see Editing Create Modules for a demonstration) and edited by...
Editing Expressions The Expression module is found in the Advanced Process template. To add or edit expressions simply click on the Expression module. Add a...
Editing Variables The Variable module is found in the Basic Process template. To add or edit variables simply click on the Variable module. Add a new Variable...
Changing an Entity Type`s Initial Animation Picture To do this is to select Entity from the Basic Process template, click on the Initial Picture column and choose...
Editing Delay Modules Delay modules can be added to the flowchart view via dragging and dropping (see Editing Create Modules for a demonstration) and edited by double...
Editing Separate Modules Separate modules can be added to the flowchart view via dragging and dropping (see Editing Create Modules for a demonstration) and edited...
Editing Batch Modules Batch modules can be added to the flowchart view via dragging and dropping (see Editing Create Modules for a demonstration) and edited by double...
Editing Hold Modules Hold modules belong to the Advanced Process template (if you cannot find this template you may need to attach it). After you have added a...
Editing Assign Modules Assign modules may be added to the flowchart view by dragging and dropping (the same as Create modules). Multiple assignments can be done...
FLV Player This topic has the player attached for use in the tutorials. The player is player flv maxi.swf. Here is the link needed internally: https://twiki.esc.auckland...
Editing Shortcuts 1 Repeat Last Action Right clicking in an empty spot in the flowchart view of the window brings up a small box of options including Repeat...
To edit a Dispose module, simply double click on the module and edit the Name . MichaelOSullivan 18 Aug 2009
Creating a New Model You can create a new model file by clicking on the New icon , selecting File New or pressing Ctrl N . Arena will open a new model file...
Displaying and Printing in AMPL 1 How many decimal places? 1 Displaying Information 1 Printing Information 1 Printing to a File How many decimal places...
Operations Research Methodology Solving an Operations Research (OR) problem is not a linear process, but the process can be broken down into five general steps:...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
Supply Chains 1 Introduction 1 Decisions in a Supply Chain 1 The Supply Chain Tradeoff: Flexibility vs Inventory 1 Integration and Coordination...
Running a Simulation Model Once your simulation model is complete, you need to select Run Setup... to control various aspects of how you simulation will run....
Logic in AMPL 1 Relational Operators 1 Logical Operators 1 Logical Expressions 1 Conditional Expressions 1 Conditional Structures 1 Binary Parameters...
Arena Guide Arena is a commercial simulation package distributed by Rockwell Automation. For more details see the main Arena website: www.arenasimulation.com and there...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Miscellaneous AMPL Commands 1 check statements 1 reset data 1 AMPL Macros and Suffixes 1 Columnwise Formulation 1 Power Sets...
Rather than run trial replications in order to estimate how many replications are necessary to ensure the accuracy of a particular output, we can use dynamic simulation...
Animating a Resource To animate a resource, first click on the Resource button in the Animate toolbar. This brings up the Resource Picture Placement Dialogue...
Columnwise Formulations in AMPL Consider the following problem (Adapted from Section 16.2, AMPL: A Modeling Language for Mathematical Programming): Workhard and Co...
Parametric Analysis After solving a linear programme, you have sensitivity analysis immediately available to show what happen happens Lauren when there are small...
Coming soon! To see simulation modelling in action, check out some of the simulation modelling case studies: CameronWalker 26 Jun 2009
Installing AMPL at Home For Windows You can easily set up AMPL on your (Windows) computer by: 1 Downloading a `starter kit` from the AMPL website; 1 Extracting...
The AMPL Process Starting AMPL AMPL Commands The Model Environment The Data Environment Scripting in AMPL Notes on AMPL Files...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
Integer Programming with AMPL Specifying variables to be integer or binary in AMPL will cause the solver, e.g., CPLEX, to use mixed integer programming. This will...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
Depth First Search for Enumeration One common method of generating patterns for set partitioning problems is to use a search to find feasible patterns/schedules/sets...
\usepackage{amsmath,amssymb} Set Partitioning, Packing and Covering Set partitioning, packing and covering problems are common types of integer programmes. They involve...
The Cutting Stock Problem Also known as the Trim Loss Model. Coming soon! Solving the Cutting Stock Problem with OR Software Using AMPL/CPLEX (Coming Soon!)...
Name LinearProgramming NonlinearProgramming IntegerProgramming NetworkOptimisation SimulationModelling BlendingModels MasterSlaveConstraints...
\usepackage{amsmath,amssymb} Power Sets When building set partitioning, covering or packing models we often choose to generate a power set to generate variables...
Mathematical Programming Mathematical programming uses mathematical variables and expressions to model problems. In the formulation step of the Operations Research...
AMPL Guide AMPL stands for `A Mathematical Programming Language`. It is used to describe mathematical programmes. AMPL is a commerical software package from Laboratories...
Network Optimisation Network optimisation involves mathematical programmes that describe problems based on networks. There are many different types of network optimisation...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
The AMPL Syntax Guide Disclaimer This is a guide to the AMPL syntax only. For a comprehensive reference to the AMPL language see AMPL: A Modeling Language for...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
Looping in AMPL for Loops let Loops Conditional Loops for Loops In AMPL you can create basic for loops by creating a set automatically and looping over elements...
What is a Management Summary? Wikitionary defines management as administration; the process or practice of managing. and a summary as concise, brief or presented...
Statistics for OpsRes Web Month: Topic views: Topic saves: File uploads: Most popular topic views: Top contributors for topic save...
Pages to Review MichaelOSullivan 21 Feb 2008
Command Line How To For Windows Instructions for starting a command line application in Windows: 1 Go to the start menu 1 Select Run... 1 Enter cmd...
Constraints in AMPL 1 Description 1 Defining a Constraint 1 Bounded Constraints 1 Examining Constraints 1 Changing Constraints Description Mathematical...
Expressions in AMPL 1 Description 1 The sum Expression 1 min/max Expressions 1 Mathematical Operators Description Expressions are the main way for AMPL...
Objective Functions in AMPL 1 Description 2 Declaring an Objective Function 3 Defining an Objective Function Description The objective function of a mathematical...
Name TeachingCaseStudy DIYCaseStudy
Name Type Size Values Tooltip message Attributes Title text 20 Title The title of the case study M DateSubmitted date 12...
New case study: (date format is YYYYxMMxDD)
Pages to Under Construction MichaelOSullivan 23 Feb 2008
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