PRODUCTION SCHEDULING
PARALLEL MACHINE MODELS
THE MAKESPAN WITHOUT PREEMPTIONS CHAPTER 5.1
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RECALL: APROXIMATION ALGORITHMS APROXIMATION ALGORITHMS
Main idea: instead of finding an optimal solution, aim to find an Main idea: instead of finding an optimal solution, aim to find an
approximately optimal solution. approximately optimal solution.
Definition: Definition:
RECALNLA: ALYNZAINLYGZITNHGE TAHPEPRAOPXPRIMOAXTIMIOANTION RATIO OF AN ALGORITHM
APPROXIMATION VS RUNNNING TIME RECALL: APPROXIMATION VS
RUNNNING TIME
PRECEDENCE CONSTRAINTS
GREEDY FOR PRECEDENCE CONSTRAINTS
ANALYSIS OF GREEDY FOR PRECEDENCE CONSTRAINTS
UNIT PROCESSING TIMES: CRITICAL PATH RULE
UNIT PROCESSING TIMES: LARGEST NUMBER OF SUCCESSORS FIRST
THE MAKESPAN WITH PREEMPTIONS CHAPTER 5.2
MINIMIZING MAKESPAN WITH PREEMPTIONS
THE WRAP-AROUND RULE
ANALYSIS OF WRAP-AROUND RULE
MACHINES WITH SPEEDS
LOWER BOUNDS FOR Q|prmp|Cmax
LOWER BOUNDS FOR Q|pmtn|Cmax
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