Worst-Case Analysis of Heuristics for the Bin Packing Problem with General Cost Structures
نویسندگان
چکیده
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. INFORMS is collaborating with JSTOR to digitize, preserve and extend access to Operations Research.
منابع مشابه
New Worst-case Results for the Bin-Packing Problem
In this note we consider the familiar bin-packing problem and provide new worst-case results for a number of classical heuristics. We show that the first-fit and best-fit heuristics have an absolute performance ratio of no more than 1.75, and first-fit decreasing and best-fit decreasing heuristics have an absolute performance ratio of 1.5. The latter is the best possible absolute performance ra...
متن کاملBin-Packing Problem with Concave Costs of Bin Utilization
We consider a generalized one-dimensional bin-packing model where the cost of a bin is a nondecreasing concave function of the utilization of the bin. Four popular heuristics from the literature of the classical bin-packing problem are studied: First Fit (FF), Best Fit (BF), First Fit Decreasing (FFD), and Best Fit Decreasing (BFD). We analyze their worst-case performances when they are applied...
متن کاملExtending Two-Dimensional Bin Packing Problem: Consideration of Priority for Items
In this paper a two-dimensional non-oriented guillotine bin packing problem is studied when items have different priorities. Our objective is to maximize the total profit which is total revenues minus costs of used bins and wasted area. A genetic algorithm is developed to solve this problem where a new coding scheme is introduced. To evaluate the performance of the proposed GA, first an upper b...
متن کاملAn Empirical Study of Three Packing Heuristics for Bins with Adjustable Capacity – an Application to Operating Room Scheduling
Using simulation, we compare three offline packing heuristics for adjustable-size bins, a problem derived from operating room scheduling, on 500 days of generated data using different cost structures. Unlike classical bin-packing studies, we found that next-fit-decreasing is the best performing method. Subject Areas: Simulation, Bin Packing, OR and Scheduling.
متن کاملThe 2-Dimensional Probabilistic Bin Packing Problem : An average case analysis
In the probabilistic two-dimensional Bin Packing problem (2D-PBPP), one is asked to pack a random number of rectangular items, without overlap and any rotation, into the minimum number of identical square bins. In this paper we consider the re-optimization procedure used for solving probabilistic combinatorial optimization problems and an approximation of this strategy: the redistribution strat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Operations Research
دوره 42 شماره
صفحات -
تاریخ انتشار 1994