حل مسأله برنامه ریزی دو سطحی خطی با استفاده از الگوریتم ژنتیک

فصلنامه مدیریت راهبردی در سیستم های صنعتی (مدیریت صنعتی سابق)

مقاله 7، دوره 11، شماره 35، خرداد 1395، صفحه 103-114   

نویسنده

هاشم عمرانی^*

استادیار دانشکده مهندسی صنایع، دانشگاه صنعتی ارومیه، ارومیه، ایران

چکیده

مسأله برنامه ریزی دو سطحی  (BLP) یکی از مسائل مهم در تئوری تصمیم گیری می باشد که زیر مجموعه مسائل برنامه ریزی چند سطحی به شمار می رود. این مسأله دارای دو سطح بیرونی و داخلی می باشد که فضای جواب مسأله بیرونی یا سطح اول توسط مسأله داخلی یا سطح دوم معین می شود. با توجه به اینکه BLP یک مسأله NP-hard می باشد، حل آن توسط روشهای سنتی به راحتی امکان پذیر نیست. در این مقاله ابتدا مسأله BLP و کاربردهای آن بررسی و سپس برای یافتن نقطه بهینه مسأله از روش شمارش نقاط رأسی استفاده می شود. در این مقاله برای جستجوی فضای اطراف نقاط رأسی و یافتن جواب بهینه از الگوریتم ژنتیک استفاده می گردد. همچنین با استفاده از یک پارامتر کنترلی، شعاع فضایی را که باید جستجو شود کنترل می شود تا از افزایش زمان حل مسأله اجتناب گردد. نتایج خروجی نشان
می دهد که جواب بدست آمده از الگوریتم ژنتیک پیشنهادی در مقایسه با مطالعات قبلی قابل قبول می باشد. 

کلیدواژه‌ها

برنامه ریزی دو سطحی؛ الگوریتم ژنتیک؛ تئوری تصمیم گیری

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