Multiple objective programming

R.J. Li, E.S. Lee, Fuzzy multiple objective programming and compromise programming with Pareto optimum, Fuzzy Sets and Systems 53 (1993) 275-288. 

By reversing the regression procedure, using the method of multiple objective programming, one can ascertain the specific concentrations of mixture components which come as close as possible to reproducing a desired sensory profile. Of course, in order to get meaningful data, the investigator must make sure that ... 

Table VII shows some hypothetical "desired" sensory profiles for these experiments, as well as the expected sensory profile one could empirically obtain, along with the combination of odorants which come as close as possible to generating that desired profile (as obtained from the multiple objective programming method). To generate these specific profiles, one often must use intermediate levels of each odorant not...

Lee, E. S., and Li, R. J. (1993), Fuzzy Multiple Objective Programming and Compromise Programming with Pareto Optimum, Fuzzy Sets and Systems, Vol. 53, pp. 275-288. 

Takeda, E., and Yu, P. L. (1995), Assessing Priority Weights from Subsets of Pairwise Comparisons in Multiple Criteria Optimization Problems, European Journal of Operational Research, Vol. 86. Werners, B. (1987), Interactive Multiple Objective Programming Subject to Flexible Constraints, European Journal of Operational Research, Vol. 31, pp. 342-349. 

Hazen, G. B., and Morin, T. L., Optimality Conditions for Non-conical Multiple-Objective Programming, Journal of Optimization Theory and Application, Vol. 40, 1983, pp. 25-59. 

Rustem, B. Algorithms for Nonlinear Programming and Multiple Objective Functions. Wiley, New York (1998). 

Multiple Objective Decision Analysis (MODA) designs the most preferred alternative within a (usually continuous) solution space using a mathematical programming structure to optimize the level of a set of quantifiable objectives. 

Major, D.C., "Benefit-Cost Ratios for Projects in Multiple Objectives Investment Programs" Water Resources Research 1969, 5., 1174. 

Roy, B., "Problems and Methods with Multiple Objective Functions" Mathematical Programming 1971, 1, 50. 

Buchanan, J. T. (1986). Multiple objective mathematical programming A review, New Zealand Operational Research 14, pp. 1-27. 

Roy, B. (1971). Problems and methods with multiple objectives functions. Mathematical Programming, 1, 239-266. 

It is relatively easy to include additional library properties such as druglike physicochemical property profiles in the product-based approaches to combinatorial subset selection. For example, several groups have handled multiobjectives through the use of weighted-sum fitness functions. In the SELECT program [89], multiple objectives are handled via a fitness function such as the one shown below ... 

The fuzzy multiple objectives linear programming (f-MOLP) usually has the following format ... 

Ida, K. and Gen, M. (1997), Improvement of Two-Phase Approach for Solving Fuzzy Multiple Objective Linear Programming, Journal of Japan Society for Fuzzy Theory and System, Vol. 19, pp. 115-121 (in Japanese). 

Based on the example in Section 4.6, simulate one- and three-stage natural gas separation processes in Aspen Plus. Interface the Aspen Plus simulation file with the Excel-based optimization program, and then optimize the natural gas separation for single and/or multiple objectives. 

PSM or RMP audits have multiple objectives. Most important is the assurance an audit brings or the adequacy of implementation of the particular program. Specifically, the audit measures program effectiveness, identifies deficiencies, and verifies correction of previously identified deficiencies. The audit also provides management with a status assessment and may recommend improvements and identify good practices. The material in this section is based on a portion of the content of a Nuclear QA Certification Course taught at Sandia National Laboratories and several companies, the ASQ Nuclear Auditor Training Manual (ASQ 1986), the System Safety Analysis Handbook (Stephans and Talso 1997), and the OSHA Inspection Manual (U.S. Department of Labor 1994). 

Given the heterogeneous nature of supply chains, optimization often cannot be performed with respect to a single objective. Multi-objective programming models seek an optimal solution with regard to multiple objectives. These models rely on judgmental assessment of the relative importance of each objective. 

Because the multiple objectives stated by supply chain managers are formulated as goal constraints with allowable deviations in the tactical submodel, the objective function is formulated to minimize some function of the deviations. Here, two different goal programming techniques are considered preemptive and non-preemptive goal programming. With non-preemptive... 

In this section, we discuss the multiple objective mathematical programming formulations and results for network design optimization in health and humanitarian logistics. 

Torabi, S. A., and Hassini, E. An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets and Systems 159, no. 2 (2008) 193-214. 

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