مدل سازی ریاضی تخصیص منابع در شرایط بحرانی با هدف افزایش سطح تاب‌آوری فرآیندهای عملیاتی: مورد مطالعه صنعت نساجی

در دﻧﯿﺎی ﭘﺮﻣﺨﺎﻃﺮه و ﻣﺘﻐﯿﺮ ﮐﻨﻮﻧﯽ، ﺗﺨﺼﯿﺺ ﺑﻬﯿﻨﻪ ﻣﻨﺎﺑﻊ از اﻫﻤﯿﺖ زﯾﺎدی ﺑﺮﺧﻮردار اﺳﺖ، ﮐﻪ در ﺻﻮرت ﺗﺨﺼﯿﺺ ﻧﺎدرﺳﺖ ﻣﻨﺎﺑﻊ، ﺑﺎﻋﺚ ﺧﺴﺎرات ﻓﺮاوان ﺑﻪ ﺳﺎزﻣﺎن ﻫﺎ ﻣﯽ ﺷﻮد. ﺑﻪ دﻟﯿﻞ اﻓﺰاﯾﺶ ﺗﻘﺎﺿﺎ در ﺷﺮاﯾﻂ ﺑﺤﺮاﻧﯽ، ﺗﺨﺼﯿﺺ ﺑﻬﯿﻨﻪ ﻣﻨﺎﺑﻊ ﺑﺴﯿﺎر ﺣﯿﺎﺗﯽ اﺳﺖ. ﻫﻤﭽﻨﯿﻦ ﺑﺎ ﮔﺬﺷﺖ زﻣﺎن و اﻓﺰاﯾﺶ ﺑﺤﺮان ، ﺳﺎزﻣﺎن ﻫﺎ ﺑﻪ ﻃﻮر ﻓﺰاﯾﻨﺪه ای در ﻣﻌﺮض اﺧﺘﻼل ﻫﺴﺘﻨﺪ، ﺑﻨﺎﺑﺮاﯾﻦ ﺳﺎزﻣﺎن ﻫﺎ ﺑﺮای ﻣﺤﺎﻓﻈﺖ ﺧﻮد در ﺑﺮاﺑﺮ ﭘﯿﺎﻣﺪﻫﺎی ﻣﺨﺮب، ﻧﯿﺎز ﺑﻪ ﺗﺎب آور ﺑﻮدن ﻫﺴﺘﻨﺪ. در ﺗﺨﺼﯿﺺ ﻣﻨﺎﺑﻊ و در ﺟﺎﻫﺎﯾﯽ ﮐﻪ ﮐﻤﺒﻮد ﻣﻨﺎﺑﻊ وﺟﻮد دارد، ﺗﺎب آور ﺑﻮدن ﻓﺮاﯾﻨﺪﻫﺎ ﻣﻘ ﻗﺎﺑﻞ ﺗﻮﺟﻬﯽ اﺳﺖ. اﮔﺮ ﺗﺨﺼﯿﺺ ﻣﻨﺎﺑﻊ درﺳﺖ اﻧﺠﺎم ﻧﺸﻮد ﯾﺎ ﺑﺎ ﮐﻤﺒﻮد اﻧﺠﺎم ﺷﻮد ﻋﻮارﺿﯽ ﺑﺪﻧﺒﺎل ﺧﻮاﻫﺪ داﺷﺖ، از ﺟﻤﻠﻪ اﯾﻨﮑﻪ ﻓﺮاﯾﻨﺪﻫﺎ ﺗﺎب آور ﻧﺒﺎﺷﻨﺪ. ﭘﺲ ﭘﺮداﺧﺘﻦ ﺑﻪ ﻣﻮﺿﻮع ﺗﺎب آوری ﺑﺮای ﻓﺮاﯾﻨﺪﻫﺎی ﻋﻤﻠﯿﺎﺗﯽ در ﻣﻮﺿﻮع ﺗﺨﺼﯿﺺ ﻣﻨﺎﺑﻊ اﻫﻤﯿﺖ ﺑﺴﺰاﯾﯽ ﭘﯿﺪا ﻣﯽ ﮐﻨﺪ. در ﻣﺪل ﺳﺎزی ﻣﻘﺎﻟﻪ ﺣﺎﺿﺮ، ﺗﺨﺼﯿﺺ ﻣﻨﺎﺑﻊ ﺑﺎ ﻫﺪف ﺣﺪاﻗﻞ ﮐﺮدن ﻓﻘﺪان ﺗﺎب آوری اﺳﺘﻔﺎده ﺷﺪه اﺳﺖ. اﯾﻦ ﻣﺪل ﺳﺎزی ﻣﻨﺠﺮ ﺑﻪ ﺷﮑﻞ ﮔﯿﺮی ﻣﻔﻬﻮم ﺟﺪﯾﺪی ﺗﺤﺖ ﻋﻨﻮان ﺗﺎب آوری ﻓﺮاﯾﻨﺪ ﺷﺪه اﺳﺖ. ﻣﺴﺌﻠﻪ ﯾﮏ ﻓﺮض اﺳﺎﺳﯽ دارد، اﯾﻦ اﺳﺖ ﮐﻪ ﺣﺪاﻗﻞ در ﯾﮑﯽ از ﻣﻨﺎﺑﻊ ﻣﻮﺟﻮد ﺑﺎ ﺗﻮﺟ ﺑﻪ ﻣﯿﺰان ﺑﯿﺶ از ﺣﺪ ﺑﻮدن ﺗﻘﺎﺿﺎ، ﮐﻤﺒﻮد ﻣﻨﺒﻊ وﺟﻮد داﺷﺘﻪ ﺑﺎﺷﺪ. ﭘﺲ از ﺣﻞ ﻣﺪل ﺑﺎ آزﻣﺎﯾﺶ ﻋﺪدی، ﻧﺘﺎﯾﺞ ﻣﺪل ﺗﺸﺮﯾﺢ ﺷﺪ و ﻣﺸﺨﺺ ﺷﺪ ﮐﻪ روﯾﺪادﻫﺎی ﻣﺨﺮب ﻗﺒﻞ از آﺳﺘﺎﻧﻪ ﺗﺤﻤﻞ ﺑﺎزﯾﺎﺑﯽ ﺷﺪﻧﺪ. ﻣﻘﺪار ﻓﻘﺪان ﺗﺎب آوری ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﻣﻨﺎﺑﻊ ﺗﺨﺼﯿﺺ داده ﺷﺪه ﮐﺎرﺧﺎﻧﻪ و در وﺿﻌﯿﺖ ﻓﻌﻠﯽ ﮐﺎرﺧﺎﻧﻪ ﺑﺮاﺑﺮ ﺑﺎ 3.99 اﺳﺖ وﻟﯽ ﻣﯿﺰان ﻓﻘﺪان ﺗﺎب آوری در ﺷﺮاﯾﻂ ﺑﻬﯿﻨﻪ و ﺑﺎ اﺳﺘﻔﺎده از ﻣﺪل ﺳﺎزی ﻣﻮﺟﻮد در اﯾﻦ ﻣﻘﺎﻟﻪ ﺑﺮاﺑﺮ ﺑﺎ 3.278 ﺑﺪﺳﺖ آﻣﺪه اﺳﺖ.

Mathematical modeling of resource allocation in critical conditions with the aim of increasing the level of resilience of operational processes: the case study of the textile industry

As time goes on and crises increase in societies, organizations are increasingly exposed to disruption. These crises can be of natural (such as earthquakes, floods, and fires) or human (such as terrorist attacks, infectious diseases, and intentional or inadvertent employee errors). Therefore, organizations need to be resilient to protect themselves from harmful consequences. The basic aspect of resilience involves the ability of an element to return to normal after disruption and resource allocation. Obviously, in any organization, the primary goal is to allocate the least resources to recover operations and to bring activities back to the tolerance threshold so that destructive events do not stop vital activities. In this paper, a quantitative model for resource allocation is presented, which minimizes the lack of resilience. The problem has a basic assumption, that there is a shortage of resources in at least one of the available resources due to excessive demand. After solving the model by numerical experiment, the results of the model were described and it was found that destructive events were retrieved before the tolerance threshold.