balanced Score Card is used as a comprehensive method in evaluation of organization’s performance. This model emphasizes organizational strategies and provides a reasonable and comprehensive relations with all organizational aspects (e.g. financial, customer, internal process, learning and growth), in order to achieve the goals and their evaluations. In this paper, the researchers are going to present the concepts and procedure of BSC evolution in public and private dimensions. The managers are interested in formulating company's strategy by BSC to achieve the vision, but they do not have lots of money, time, resources, etc; to execute all the improved Programming that obtain performance driver's indicators. Therefore, the researchers decided to rank the perspectives and performance drivers to achieve the vision by (LP) method.They will also discuss the supply-chain and social responsiveness as two new perspectives of BSC.

In this study a new and robust procedure is presented to solve synthesis of isothermal reactor networks (RNs) which considers more than one objective function. This method uses non-dominated sorting genetic algorithm II (NSGAII) to produce structural modification coupled with quasi Linear Programming ((LP)) method for handling continuous variables. The quasi (LP) consists of an (LP) by adding a search loop to find the best reactor conversions as well as split and recycle ratios which are much easier to solve. To prevent complexity and ensure optimum solution, only ideal continuous stirred tank reactors (CSTRs), plug flow reactors (PFRs) and PFR with recycle stream are considered in producing reactor networks. Also, to avoid differential equations which appear in design equations of PFR reactors, CSTRs in series are replaced for each PFR. Results show that the proposed method finds better solutions than those reported in the literature.

In this study, we discussed a fuzzy Programming approach to bi-level Linear Programming problems and their application. Bi-level Linear Programming is characterized as mathematical Programming to solve decentralized problems with two decision-makers in the hierarchal organization. They become more important for the contemporary decentralized organization where each unit seeks to optimize its own objective. In addition to this, we have considered Bi-Level Linear Programming (B(LP)P) and applied the Fuzzy Mathematical Programming (FMP) approach to get the solution of the system. We have suggested the FMP method for the minimization of the objectives in terms of the Linear membership functions. FMP is a supervised search procedure (supervised by the upper Decision Maker (DM)). The upper-level decision-maker provides the preferred values of decision variables under his control (to enable the lower level DM to search for his optimum in a wider feasible space) and the bounds of his objective function (to direct the lower level DM to search for his solutions in the right direction).

Background and Objectives: Linear Programming ((LP)) is an easy way to optimize diet cost in which nutritional requirements are also met. Although (LP) was used for children, it has not been run to design a diet for patients with renal diseases. The aim of this study was to design a cost-optimized meal by (LP) for patients with kidney disease in which essential nutritional requirements are met.Materials and Methods: For this cross-sectional study, two combinatorial meals were considered, and their ingredients were chosen from the restaurant recipes. Minimum and maximum amounts for each ingredient were determined. The price of ingredients was gathered from authentic stores selling foods with approved price. The requirements for energy, protein, sodium, potassium and phosphorus expected to meet by this meal were also determined. The (LP) was run by Microsoft Excel. Optimized cost was calculated in while essential nutritional requirements were also met.Results: The amounts determined by (LP) were between the min and max, and all needs were met by the designed meals. Diet cost was also optimized.Conclusion: (LP) could be used to design low-cost meals for patients with kidney disease.