A Strongly Polynomial Algorithm for Generalized Flow Maximization
نویسندگان
چکیده
منابع مشابه
Strongly polynomial algorithm for generalized flow maximization
A strongly polynomial algorithm is given for the generalized flow maximization problem. It uses a new variant of the scaling technique, called continuous scaling. The main measure of progress is that within a strongly polynomial number of steps, an arc can be identified that must be tight in every dual optimal solution, and thus can be contracted. The full version is available on arXiv:1307.680...
متن کاملA Polynomial-time Algorithm for the Generalized Independent-flow Problem
We consider a compound problem of the generalized minimum-cost flow problem and the independent-flow problem, which we call the generalized independent-flow problem. The generalized minimumcost flow problem is to find a minimum-cost flow in a capacitated network with gains, where each arc flow is multiplied by a gain factor when going through an arc. On the other hand, the independent-flow prob...
متن کاملA Faster Strongly Polynomial Minimum Cost Flow Algorithm
In this paper, we present a new strongly polynomial time algorithm for the minimum cost flow problem, based on a refinement of the Edmonds-Karp scaling technique. Our algorithm solves the uncapacitated minimum cost flow problem as a sequence of O(n log n) shortest path problems on networks with n nodes and m arcs and runs in O(n log n (m + n log n)) time. Using a standard transformation, thjis ...
متن کاملA Strongly Polynomial Algorithm for Controlled Queues
We consider the problem of computing optimal policies of finite-state finite-action Markov decision processes (MDPs). A reduction to a continuum of constrained MDPs (CMDPs) is presented such that the optimal policies for these CMDPs constitute a path in a graph defined over the deterministic policies. This path contains, in particular, an optimal policy of the original MDP. We present an algori...
متن کاملXxa Strongly Polynomial - Time Algorithm for Minimizingsubmodular
This paper presents a combinatorial polynomial-time algorithm for minimizing submod-ular set functions. The algorithm employs a scaling scheme that uses a ow in the complete directed graph on the underlying set with each arc capacity equal to the scaled parameter. The resulting algorithm runs in time bounded by a polynomial in the size of the underlying set and the largest length of the functio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Operations Research
سال: 2017
ISSN: 0364-765X,1526-5471
DOI: 10.1287/moor.2016.0800