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Title (Arabic)

مشكلات البرمجة الخطية الضبابية “FLPP”

DOI

10.33095/jeas.v15i56.1271

Abstract

Optimize to improve decision-making in uncertain situations by using an Integrated Optimization Framework combining fuzzy and probabilistic constraints in line with linear programming methods (on analytical examination of fuzzy programming formulations by using their corresponding mathematical form and Approach). Through this use of fuzzy linear programming, the paper has helped to solve actual (real-world) production planning/scheduling problems experienced by The Iraqi Furniture Manufacturing Company. Predicting product demand through statistical time series forecasting Methods and modeling those forecasts as a probabilistic demand constraint (chance-constrained demand) form within the linear programming formulation. The use of this new Hybrid Approach allows for the capture of both Epistemic (i.e., uncertainty associated with the degree of knowledge and available data for the decision process) and Stochastic (i.e., Random Variability-Probability of occurrence) uncertainties and thus greatly increases the robustness and realism of the optimization model. Based on the results, combining the fuzzy logic-based solution with chance-constrained programming yields enhanced flexibility in the production planning/scheduling process and provides more reliable and understandable production plans to assist managers in making better production decisions under uncertain conditions.

Abstract (Arabic)

ان الغرض من هذا البحث هو المزج بين القيود الضبابية والاحتمالية. كما يهدف الى مناقشة اكثر حالات مشكلات البرمجة الضبابية شيوعا وهي عندما تكون المشكلة الضبابية تتبع دالة الانتماء مرة دالة الاتنماء المثلثية مرة اخرى، من خلال التطبيق العملي والتجريبي. فضلا عن توظيف البرمجة الخطية الضبابية في معالجة مشكلات تخطيط وجدولة الإنتاج لشركة العراق لصناعة الأثاث، وكذلك تم استخدام الطرائق الكمية للتنبؤ بالطلب واعتماده كقيد احتمالي في الأنموذج الرياضي.

First Page

181

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