stability and attraction domains of traffic equilibria in day-to-day dynamical system formulation
thesis
- وزارت علوم، تحقیقات و فناوری - دانشگاه شهید باهنر کرمان - دانشکده ریاضی و کامپیوتر
- author معصومه شاهمرادی پورهمسریشی
- adviser نصراله گرامی
- publication year 1390
abstract
در این پژوهش مسئله واگذاری ترافیک را از دید سیستم های دینامیکی فرمول بندی می کنیم.فرض کرده ایم که همه فاکتورهای وابسته در طول زمان ثابت باشند و تعادل کاربر را از طریق فرایند منظم روزبه روز پیگیری کنیم.دینامیک ترافیک توسط یک نگاشت بازگشتی نشان داده می شود که تکامل سیستم در طول زمان را نشان می دهد.پایداری تعادل و دامنه جذب را توسط مطالعه ویژگی های توپولوژیکی تکامل سیستم تجزیه و تحلیل می کنیم.پایداری مهم است زیرا بی ثباتی تعادل گذرا است و برای تعادل پایدار فقط نقاط درون دامنه جذب به سمت تعادل جذب می شوند.نشان می دهیم دامنه جذب یک تعادل پایدار همیشه باز است و علاوه براین، مرز آن توسط مدارهای پیشرو تعادل ناپایدارتشکیل شده است.با فهمیدن این ویژگی ها می توانیم محدوده دامنه های جذب را مشخص کنیم و توسط آن یک نمودار تفکیک پذیر روی فضای حالت طراحی کنیم که هر قسمت آن نماینده دامنه جذب یک نقطه تعدل است.
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document type: thesis
وزارت علوم، تحقیقات و فناوری - دانشگاه شهید باهنر کرمان - دانشکده ریاضی و کامپیوتر
Keywords
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