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We then show that this algorithm gives the optimal solution for more general preference structures when customers are partitioned into different types in fixed proportions . Given the importance of PPIs , we suggest that submission of PPIs to repositories be made mandatory by scientific journals at the time of manuscript submission as this will minimize annotation errors , promote standardization and help keep the information up to date . We develop a mathematical framework to analyze the process by which airlines forecast demand and optimize booking controls over a sequence of flights . Some have reported comparable efficacy [ 12 ] and questioned the claims of superior efficacy of atypicals relative to typicals [ 8,12,13 ] because clinical trials have often established efficacy of the atypicals in comparison to haloperidol , a high-potency typical antipsychotic known to have pronounced treatment-emergent extrapyramidal symptoms ( EPS ) that may contribute to poorer treatment outcomes . " In looking for companies that are developing breakthrough technologies for global enterprises , ISS attracted my attention because it is the pioneer in developing Internet security products , " said O'Connor .