The geometric duality theory of Heyde and Löhne (2006) defines a dual to a multiple objective linear programme (MOLP). In objective space, the primal problem can be solved by Benson’s outer approximation method (Benson, 1998a,b) while the dual problem can be solved by a dual variant of Benson’s algorithm (Ehrgott et al., 2007). Duality theory then assures that it is possible to find the nondomi...

This paper shows how a formal modeling framework, Evolutionary Systems Design (ESD), for evolutionary problem definition and solution, can be used for problem adaptation and restructuring (i.e., reengineering) in optimization problems, as developed for Multiobjective Linear Programming (MOLP). R es t ructuring through a heuristic controls/goals/values referral process and adaptation are discuss...

MCDA in general and multiple objective linear programming (MOLP) in particular can be used for planning future performances. The model structures of DEA and MOLP have much in common and research on integrating DEA and MOLP has attracted increasing attentions to support both past performance assessment and future target setting in integrated manners (Cooper, 2004). For instance, Golany (1988) de...

Real time PCR is a powerful tool for studying the expression of genes involved in the pathophysiology of human diseases. Recent studies of the RAN (6p21), ZHX-2 (8q24.3), CHC1L (13q14.3) loci highlight the importance of these genes in multiple myeloma (MM) prognosis and therapeutic applications. Here, we described a detailed Real-Time PCR method for the detection of RAN, ZHX-2, and CHC1L expres...

Reactions of [Pt(PCy(3))(2)] (Cy = cyclohexyl) with group 12 metal dihalides have afforded the novel metal only Lewis pair (MOLP) complexes, [(Cy(3)P)(2)Pt→MX(2)] (M = Zn or Cd, X = Br or I), or the oxidative addition product, trans-[(Cy(3)P)(2)(I)PtHgI]. The zinc complex represents the first MOLP to contain an unsupported Pt→Zn linkage.

Data envelopment analysis (DEA) and multiple objective linear programming (MOLP) are tools that can be used in management control and planning. Whilst these two types of model are similar in structure, DEA is directed to assessing past performances as part of management control function and MOLP to planning future performance targets. This paper is devoted to investigating equivalence models an...

In this paper we investigate inputs/outputs estimate in the presence of undesirable factors. We discuss such questions: suppose some outputs (inputs) are undesirable and among a group of decision making units (DMUs) a DMU changes (increases and decreases simultaneously) some of its input (output) levels, how much outputs (inputs) could the unit change such that its efficiency index remains unch...

In this paper, the cost and income efficiency models have been considered with regard to the multiple objective programming structures. For finding the efficient points in purposed MOLP problem, some various methods like Lexicography & the weighted sum can be used. So by introducing the MOLP problem the cost & income efficiencies will be achieved. In the present study, the MOLP problem is conve...

In this paper a reduced multiplicative tolerance a measure of sensitivity analysis in multiobjective linear programming (MOLP) is presented. By using this new measure a method for ranking the set of efficient extreme solutions is proposed. The idea is to rank these solutions by values of the reduced tolerance. This approach can be applied to many MOLP problems, where sensitivity analysis is imp...