A set coverage problem
نویسندگان
چکیده
This paper shows that with B = {1, 2, . . . , n}, the smallest k such that (B ×B)− {(j, j) | j ∈ B} = k ⋃ i=1 (Ci ×Di) is s(n), where s(n) is the smallest integer k such that n 6 ( k b k 2 c ) . This provides a simple set-based formulation and a new proof of a result for boolean ranks [2] and biclique covering of bipartite graphs [1, 5], making these intricate results more accessible.
منابع مشابه
Fuzzy based efficient drone base stations (DBSs) placement in the 5G cellular network
Currently, cellular networks are one of the essential communication methods for people. Providing proper coverage for the users and also offering high-quality services to them are two of the most important issues of concern in cellular networks. The fifth-generation cellular communication networks can provide higher data transmission rates, which lead to a higher quality of service but this hig...
متن کاملCapacitated Facility Location Problem with Variable Coverage Radius in Distribution System
The problem of locating distribution centers (DCs) is one of the most important issues in design of supply chain. In previous researches on this problem, each DC could supply products for all of the customers. But in many real word problems, DCs can only supply products for customers who are in a certain distance from the facility, coverage radius. Thus, in this paper a multi-objective intege...
متن کاملمدلبندی و حل مساله ماکزیمم پوشش p -هاب تک تخصیصی با پوشش تدریجی
P-hub maximal covering location problem is one of the most commonly used location- allocation problems. In this problem, the goal is to determine the best location for the hubs such that the covered demand is maximized by considering the predefined coverage radius. In classical hub problems, if the distance between the origin and destination is less than this radius, coverage is possible; other...
متن کاملApproximation Algorithms for Barrier Sweep Coverage
Time-varying coverage, namely sweep coverage is a recent development in the area of wireless sensor networks, where a small number of mobile sensors sweep or monitor comparatively large number of locations periodically. In this article we study barrier sweep coverage with mobile sensors where the barrier is considered as a finite length continuous curve on a plane. The coverage at every point o...
متن کاملA knowledge-based NSGA-II approach for scheduling in virtual manufacturing cells
This paper considers the job scheduling problem in virtual manufacturing cells (VMCs) with the goal of minimizing two objectives namely, makespan and total travelling distance. To solve this problem two algorithms are proposed: traditional non-dominated sorting genetic algorithm (NSGA-II) and knowledge-based non-dominated sorting genetic algorithm (KBNSGA-II). The difference between these algor...
متن کاملGreedy Algorithms for Target Coverage Lifetime Management Problem in Wireless Sensor Networks
When several low power sensors are randomly deployed in a field for monitoring targets located at fixed positions, managing the network lifetime is useful as long as replacing battery of dead sensors is not often feasible. The most commonly investigated mechanism for coverage preserving while maximizing the network lifetime is to design efficient sleep scheduling protocols, so that sensors can ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 110 شماره
صفحات -
تاریخ انتشار 2010