scholarly journals Measuring the technical efficiency of local banks in UAE using rough bi-level linear programming technique

Author(s):  
Doaa Wafik ◽  
O. E. Emam

The aim of this paper is to use a bi-level linear programming technique with rough parameters in the constraints, for measuring the technical efficiency of local banks in UAE and Egypt, while the proposed linear objective functions will be maximized for different goals. Based on Dauer's and Krueger's goal programmingmethod, the described approach was developed to deal with the bi-level decision-making problem. The concept of tolerance membership function together was used to generate the optimal solution for the problem under investigation. Also an auxiliary problem is discussed to illustrate the functionality of the proposed approach.

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
S. Morteza Mirdehghan ◽  
Hassan Rostamzadeh

Multiobjective linear fractional programming (MOLFP) problems are the important problems with special structures in multiobjective optimization. In the MOLFP problems, the objective functions are linear fractional functions and the constraints are linear; that is, the feasible set is a polyhedron. In this paper, we suggest a method to identify the efficiency status of the feasible solutions of an MOLFP problem. By the proposed method, an efficient projection on the efficient space for an inefficient solution is obtained. The proposed problems are constructed in linear programming structures.


2021 ◽  
Vol 52 (3) ◽  
pp. 658-674
Author(s):  
Al-Eqabi & Al-Nassr

  The  objectives of the research are to determine the optimal allocation of resources available to the general company for food products using a linear programming(LP) technique to obtain high levels of production and high levels of profits by maximizing the value of the objective function and increasing the profitability of the company, and conducting a sensitivity analysis to see the extent of changes in the optimum commodity composition in terms of quality and quantity with the level of profits in a manner commensurate with the requirements of growth in the company , the study based on the  use of (LP)technique to determine the optimum production plan with the highest net income  for the products under study for vegetable oil factories as well as using sensitivity analysis  by using  the statistical program (Win QSB) .The research showed a number of results, perhaps the most important: proof of the hypothesis of achieving high levels of production and profits as well as the optimal allocation of available resources, as the quantity  of production increased from 472 tons in the actual production plan to 974 tons in the derived plan , achieving a jump estimated at 106. 4%, and the results of the optimal solution using the (LP)technique showed that the value of net income at current prices has reached 348739500 dinars, an increase of 184.6% over the net income actually achieved at current prices of 122528565 dinars for the year 2018. The research had reached a number  of conclusions, perhaps the most important is the  matching of the research results to the research hypothesis as well as  the optimal solution using the LP technique  had showed  the difference in the  optimum commodity composition and  its quantities from the actual commodity composition of the products , the research provides a number of recommendations, the most important of which is the application of a linear programming technique to know the extent of investing available resources in a way efficiency, which helps to increase production in order to achieve economic efficiency and the need to generalize it to production units with similar conditions in order to determine the optimal use of the various production resources.   


2019 ◽  
Vol 50 (Special) ◽  
Author(s):  
R. Sh. M. Al-Nassr

The objectives of this research are to determine the optimal agricultural plane to achieve the optimum crop combination that maximizes the profits and the total and net agricultural income of the Al-Rasheed / Hamorabi Farm in Baghdad using L.P technique to reach the production volume that maximizes profit to choose the best plan and to increase the efficiency of the use of available resources at the farm level, to optimize the utilization of natural water resources and to protect them from the risk of attrition and to promote their use by deriving mathematical models for use in water needs assessment, including the application of an agricultural rotation to maintain soil fertility. The research has reached a number of conclusions, perhaps the most important is that the optimal solution using the linear programming method shows us the difference in the optimum crop combination of the actual crop structure of the agricultural crops and their areas. The farm has achieved a much higher income than the resulting income of the actual farm plan, as explained by the resource-based model, the LHS of the model, is less than the available resources that represent the RHS, which means that optimal plans have used fewer resources and given higher net income. From the conclusions reached, we can make a number of recommendations. The most important of these is the implementation of the linear programming technique to determine the extent to which the available resources are invested efficiently, which helps to increase the production in order to achieve the economic efficiency of the farmers and the need to generalize and apply this method in associations with similar environments to determine the optimal use of different productive resources.


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