تخصیص منابع فازی در سیستم های دومرحله ای

ﻋﻤﻮﻣﺎ ﺳﺎزﻣﺎنﻫﺎ و ﻣﻮﺳﺴﺎت دارای ﺑﺨﺶﻫﺎی ﻣﺘﻌﺪد داﺧﻠﯽ ﺑﻮده ﮐﻪ ﻋﻤﻠﮑﺮد ﮐﻠﯽ ﺳﺎزﻣﺎن، ﻧﺘﯿﺠﻪای از ﻋﻤﻠﮑﺮد ﻫﺮﯾﮏ از اﯾﻦ ﺑﺨﺶﻫﺎ ﯾﺎ ﻣﺮاﺣﻞ اﺳﺖ. ﻫﺮ ﺑﺨﺶ، دارای ﻋﻮاﻣﻞ ورودی و ﺧﺮوﺟﯽ ﺧﺎص ﺧﻮد ﻫﻤ ﭽﻨﯿﻦ ﻋﻮاﻣﻞ ارﺗﺒﺎط دﻫﻨﺪه ﺑﯿﻦ ﻣﺮاﺣﻞ اﺳﺖ. ﺷﺎﺧﺺﻫﺎی ﺑﯿﻦ ﻣﺮاﺣﻞ را ﺷﺎﺧﺺﻫﺎی ﻣﯿﺎﻧﯽ ﻣﯽﻧﺎﻣﻨﺪ. در ﯾﮏ ﺳﺎﺧﺘﺎر دوﻣﺮﺣﻠﻪای، ﺷﺎﺧﺺﻫﺎی ﻣﯿﺎﻧﯽ ﺧﺮوﺟﯽﻫﺎی ﻣﺮﺣﻠﻪ اول ﺑﻮده ﮐﻪ ﺑﻪﻋﻨﻮان ورودی ﻣﺮﺣﻠﻪ دوم ﺑﻪﮐﺎر ﻣﯽروﻧﺪ. ارزﯾﺎﺑﯽ ﻋﻤﻠﮑﺮد ﯾﮏ ﺳﺎزﻣﺎن ﺑﺎﯾﺪ ﺑﺎ درﻧﻈﺮ ﮔﺮﻓﺘﻦ ﻋﻤﻠﮑﺮد ﻫﺮﯾﮏ از ﺑﺨﺶﻫﺎی آن ﺗﻌﯿﯿﻦ ﮔﺮدد. ﺗﺤﻠﯿﻞ ﭘﻮﺷﺸﯽ دادهﻫﺎ ﯾﮑﯽ از روﺷﻬﺎی ﻣﻨﺎﺳﺐ ﺑﺮای ارزﯾﺎﺑﯽ ﻋﻤﻠﮑﺮد ﺑﺮاﺳﺎس ﭼﻨﺪ ﺷﺎﺧﺺ اﺳﺖ. در ﻋﻤﻞ ﺗﻌﯿﯿﻦ اﯾﻦ ﺷﺎﺧﺺﻫﺎ ﺑﺎ ﻣﻘﺎدﯾﺮ ﻗﻄﻌﯽ اﻣﮑﺎنﭘﺬﯾﺮ ﻧﻤﯽﺑﺎﺷﺪ. اﯾﻦ ﻣﻘﺎﻟﻪ ﺑﻪ اراﺋﻪ ﻣﺪﻟﯽ ﺟﻬﺖ ﺗﻌﯿﯿﻦ ﻋﻤﻠﮑﺮد ﻣﻮﺳﺴﺎت دوﺑﺨﺸﯽ در ﻣﺤﯿﻂ ﻓﺎزی ﻫﻤﭽﻨﯿﻦ ﺗﺨﺼﯿﺺ ﻣﻨﺎﺑﻊ ﺑﻪ آن ﻣﯽﭘﺮدازد. ﺑﺎ اﺳﺘﻔﺎده از ﺗﺤﻠﯿﻞ ﭘﻮﺷﺸﯽ دادهﻫﺎی ﻣﻌﮑﻮس، ﯾﮏ ﻣﺪل ﺑﺮﻧﺎﻣﻪرﯾﺰی ﭼﻨﺪﻫﺪﻓﻪ ﭘﯿﺸﻨﻬﺎد ﺷﺪه اﺳﺖ ﮐﻪ ﺑﺎ اﻓﺰاﯾﺶ ﺧﺮوﺟﯽﻫﺎی واﺣﺪ ﺗﺤﺖ ارزﯾﺎﺑﯽ، ﻣﯿﺰان اﻓﺰاﯾﺶ ورودیﻫﺎی ﻣﺮﺣﻠﻪ اول و ﻣﯿﺎﻧﯽ را ﺑﻨﺤﻮی ﺗﻌﯿﯿﻦ ﮐﻨﺪ ﮐﻪ ﮐﺎراﯾﯽ آن ﺣﻔﻆ ﺷﻮد. ﺳﭙﺲ ﻣﺪل ﭘﯿﺸﻨﻬﺎدی ﺑﺮای ﺗﺨﺼﯿﺺ ﻣﻨﺎﺑﻊ ﺑﻪ ﺷﻌﺐ ﺑﺎﻧﮏ اﺳﺘﻔﺎده ﺷﺪه اﺳﺖ.

Fuzzy resource allocation in two-stage systems

Organizations and institutions have internal departments that the overall performance of the organization is the result of the performance of each of these departments or stages. Each stage has its own input and output factors as well as connecting factors between stages. The factors between stages are called intermediate indicators. In a twostage structure, the intermediate indicators are the outputs of the first stage, which are used as the input of the second stage. Evaluation performance of an organization should be determined by considering the performance of each of its stages. Data envelopment analysis is one of the appropriate methods to evaluate performance based on several indicators. In practice, it is not possible to determine these indicators with exact values. In this paper, we proposed a model for determining the performance of twostager systems in a fuzzy environment, also as well as the allocation of resources to it. We apply inverse data envelopment analysis and propose a multiobjective programming model that, by increasing the output of the unit under evaluation, determines the rate of increase of the first stage inputs and intermediate indicators in a way that maintains its efficiency. Then we illustrate the proposed model to allocate resources to bank branches.