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We propose a multi-criteria Composite Index Method (CIM) to compare theperformance of alternative approaches to solving an optimization problem. TheCIM is convenient in those situations when neither approach dominates the otherwhen tested on different sizes of problem instances. The CIM takes probleminstance size and multiple performance criteria into consideration within aweighting scheme to produce a single number that measures the relativeimprovement of one alternative over the other. Different weights are given toeach dimension based on their relative importance as determined by the enduser. We summarize the successful application of the CIM to an NP-hardcombinatorial optimization problem known as the backhaul profit maximizationproblem (BPMP). Using the CIM we tested a series of eleven techniques forimproving solution time using CPLEX to solve two different BPMP models proposedin the literature.

A Composite Index Method for Optimization Benchmarking with Application to the Backhaul Profit Maximization Problem