Test 2 Types study guide

# Test 2 Types study guide - BIT-2506 Exam 2 Chapter 5...

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BIT-2506 Exam 2 Chapter 5- Integer Programming Total integer model- all values must be integers (things that must be whole numbers cats, cars) 1. integer model- all values must be either zero or one Can construct Swimming pool (x1) and tennis court(x2) built on same parcel of land constraint looks like x1+x2<= 1 If it said either the swimming pool or the tennis court x1+x2=1 Types of constraints o Mutually exclusive- either zero or one and only one but not both. x 1 + x 2 1 – either one of the two variables can be 1 or they can both be zero, but they cannot both be 1. (contingent) o Multiple-choice-one (or some specified number) must be included. x 1 + x 2 = 1 – one of the variables has to be 1 but not both and both cannot be zero can build 2 of 4 facilities x1+x2+x3+x4<=2 o Conditional-One choice depends on another. x 2 x 1 – if x 1 is not chosen then neither is x 2 , but x 1 can be chosen with or without x 2 o Corequisite- if one is chosen then the other must be (both or neither must be chosen). x 1 = x 2 – both variables have to be 0 or both variables have to be 1 o be careful: things like land do not need to be integers o Rounding noninterger solution values up can result in an infeasible solution o Rounding noninterger values down can resuly in a less than optimal (suboptimal) solution. o When inputting 0-1 constraint: simply put CELL <=1 and CELL = integer also assume non- negativity to assure only 0 or 1 can be allowed Capital budgeting example You can use the BIN constraint to represent 0-1 Tech adding bookstore, bank, clothing dept Fixed charge and facility location o Which farm to buy and which plants to send it to o Const: amt shipped must be less than or equal to harvest projection o X1a+x1b+x1c<=11.2 y1

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X1a+x1b+x1c-11.2ya<=0 Basically saying can only ship product if you select that facility Set covering example: o Constructing new hubs to ship items o The constraints are sum of hubs >=1 saying that at least one hub must be within the 300 miles Mixed integer model-Only sum of the values must be integers
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Test 2 Types study guide - BIT-2506 Exam 2 Chapter 5...

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