مقایسهٔ روش‌ها

	جستجوی همسایگی متغیر (VNS)	بهینه‌سازی فراابتکاری الهام‌گرفته از موسیقی: جستجوی هارمونی
حوزه	بهینه‌سازی	بهینه‌سازی
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1997	2001
پدیدآور	—	Zong Woo Geem, Joong Hoon Kim, G. V. Loganathan
نوع	Metaheuristic — neighborhood-based	Metaheuristic population-based optimization
منبع بنیادین	Mladenović, N. & Hansen, P. (1997). Variable Neighborhood Search. Computers & Operations Research, 24(11), 1097–1100.	Geem, Z. W., Kim, J. H., & Loganathan, G. V. (2001). A New Heuristic Optimization Algorithm: Harmony Search. Simulation, 76(2), 60–68.
نام‌های دیگر	VNS, Değişken Komşuluk Araması (VNS), variable neighbourhood search	HS algorithm, Harmoni Araması (Harmony Search), music-inspired optimization
مرتبط	4	5
خلاصه	Variable Neighborhood Search (VNS) is a metaheuristic optimization framework introduced by Mladenović and Hansen in 1997. It escapes local optima by systematically switching among a predefined set of neighborhood structures — first perturbing the current solution (shaking) to reach a different region of the search space, then applying a local search within that region, and finally accepting the new solution only if it improves the incumbent. The method is flexible enough to handle combinatorial problems (routing, scheduling, graph problems) as well as continuous optimization, making it one of the most widely used neighborhood-based metaheuristics in operations research.	Harmony Search (HS) is a population-based metaheuristic optimization algorithm introduced by Geem, Kim, and Loganathan in 2001. It mimics the improvisation process of jazz musicians seeking a perfect state of harmony, using three operators — memory consideration, pitch adjustment, and random selection — to generate candidate solutions. The algorithm applies to both continuous and discrete variables and has found wide use in engineering design, water distribution network optimization, and combinatorial problems.