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Multi-Commodity Flow with In-Network Processing [article]

Moses Charikar, Yonatan Naamad, Jennifer Rexford, X. Kelvin Zou
2018 arXiv   pre-print
This extra flexibility fundamentally changes the optimization problem the network administrators must solve to a new kind of multi-commodity flow problem, where the traffic flows consume bandwidth on the  ...  In an industry trend known as Network Functions Virtualization (NFV), these middleboxes run as virtual machines on any commodity server, and the switches steer traffic through the relevant chain of services  ...  XX:10 Multi-Commodity Flow with In-Network Processing † 1, corresponding to a fully utilized edge.  ... 
arXiv:1802.09118v1 fatcat:6rwj6besfnd2jildrcgar6olri

Brief Announcement: Bridging the Theory-Practice Gap in Multi-commodity Flow Routing [chapter]

Siddhartha Sen, Sunghwan Ihm, Kay Ousterhout, Michael J. Freedman
2011 Lecture Notes in Computer Science  
Introduction In the concurrent multi-commodity flow problem, we are given a capacitated network G = (V, E) of switches V connected by links E, and a set of commodities K = {(s i , t i , d i )}.  ...  A solution for general networks poses an intriguing open problem. Existing Models: Theory vs. Practice Prior solutions to the multi-commodity flow problem fall in one of three models.  ... 
doi:10.1007/978-3-642-24100-0_20 fatcat:h6q4432vofbd7e6naz35x7j2bq

Page 97 of Management Science Vol. 5, Issue 1 [page]

1958 Management Science  
Introduction A problem of some importance in applications of linear programming is the determination of maximal multi-commodity flows in networks.  ...  A SUGGESTED COMPUTATION FOR MAXIMAL MULTI- COMMODITY NETWORK FLOWS* L. R. FORD, JR. anp D. R.  ... 

Quickest Multi-Commodity Flow Over Time with Partial Lane Reversals

Tanka Nath Dhamala, Shiva Prakash Gupta, Durga Prasad Khanal, Urmila Pyakurel
2020 Journal of Mathematics and Statistics  
The general multi-commodity and quickest multicommodity flow problems are computationally hard.  ...  Among them, the quickest multicommodity flow problem concerns with minimization of time taken to complete this process.  ...  Input: Given a multi-commodity flow network N = (V, A, K, u, τ, di, S, D, T) Output: The quickest multi-commodity flow with partial lane reversals: 1.  ... 
doi:10.3844/jmssp.2020.198.211 fatcat:atxl4oz6xjf5jebc3whvykqf3u

Approximate Algorithms for Continuous-Time Quickest Multi-Commodity Contraflow Problem

Shiva Prakash Gupta, Durga Prasad Khanal, Urmila Pyakurel, Tanka Nath Dhamala
2020 The Nepali Mathematical Sciences Report  
The quickest multi-commodity flow problem deals with the minimization of time satisfying given demand. Ingeneral, the quickest multi-commodity flow problems are computationally hard.  ...  Multi-commodity flow problem appears when several distinct commodities are shipped from supply nodes to the demand nodes through a network without violating the capacity constraints.  ...  algorithm of [8] for quickest multi-commodity flow problem with bounded cost on auxiliary network.  ... 
doi:10.3126/nmsr.v37i1-2.34068 fatcat:ltwi2xy76jcytg6kmveiq54dwe

Multi-Commodity Network Flow Model Applied to Waste Processing Cost Analysis for Producers

R. Šomplák, M. Touš, M. Pavlas, J. Gregor, P. Popela, A. Rychtár
2015 Chemical Engineering Transactions  
The model follows principle ideas of multi-commodity network flow modelling. It is implemented in GAMS and presented through a case study.  ...  In this paper, we deal with a network flow problem where waste is transported from producers (municipalities) through pre-processing facilities to its final treatment.  ...  CZ.1.07/2.3.00/30.0039 "Excellent young researchers at Brno University of Technology", further with financial support from the MEYS under the National Sustainability Programme I (Project LO1202) and financial  ... 
doi:10.3303/cet1545123 doaj:050feef5748c457d98d1f721cf2e4fee fatcat:qektdtub6zfh7pi5kpsooq7ttm

A Suggested Computation for Maximal Multi-Commodity Network Flows

L. R. Ford, D. R. Fulkerson
1958 Management science  
A SUGGESTED COMPUTATION FOR MAXIMAL MULTI- COMMODITY NETWORK FLOWS* L. R. FORD, JR. anp D. R.  ...  Introduction A problem of some importance in applications of linear programming is the determination of maximal multi-commodity flows in networks.  ... 
doi:10.1287/mnsc.5.1.97 fatcat:gomcvql7evhhdka3v2kzy53cpm

Routing Optimization of Small Satellite Networks based on Multi-commodity Flow

Xiaolin Xu, Yu Zhang, Jihua Lu
2017 EAI Endorsed Transactions on Ambient Systems  
We apply the traditional time-expanded graph to model the data acquisition of small satellite network so that we can formulate the data acquisition into a multi-commodity concurrent flow optimization problem  ...  selection of routing optimization in small satellite network node communication.  ...   which is equivalent to multi-commodity flow problem (MCP).  ... 
doi:10.4108/eai.8-12-2017.153459 fatcat:3zq3oaigbvgajegmzeouoqhx34

Routing Optimization of Small Satellite Networks Based on Multi-commodity Flow [chapter]

Xiaolin Xu, Yu Zhang, Jihua Lu
2018 Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering  
We apply the traditional time-expanded graph to model the data acquisition of small satellite network so that we can formulate the data acquisition into a multi-commodity concurrent flow optimization problem  ...  selection of routing optimization in small satellite network node communication.  ...   which is equivalent to multi-commodity flow problem (MCP).  ... 
doi:10.1007/978-3-319-73564-1_35 fatcat:iclastk2lvbn5goml5c4ipasuq

New methods for multi-commodity flows

N. Boland, A.I. Mees
1990 Computers and Mathematics with Applications  
A~traet--Multi-commodity flow problems arise naturally in telecommunications and scheduling.  ...  New theoretical work by Soviet researchers on network-based techniques is shown in this paper to yield practical algorithms which enable certain types of multi-commodity flow problems to be solved quickly  ...  Acknowledgement--This research was supported in part by an Australian Telecommunications and Electronic Research Board Scholarship.  ... 
doi:10.1016/0898-1221(90)90066-s fatcat:44ji6ur5avg4rat3nvwgsztxte

An Approximation Algorithm for Path Computation and Function Placement in SDNs [article]

Guy Even and Matthias Rost and Stefan Schmid
2016 arXiv   pre-print
Function mapping refers to the assignment of nodes in the substrate network to various processing stages that requests must undergo.  ...  be partly served and flow may be split along multiple paths).  ...  Given an instance F = {f i } i∈I of a fractional multi-commodity flow with demands and benefits, we are interested in finding an all-or-nothing unsplittable multi-commodity flow F = {f i } i∈I such that  ... 
arXiv:1603.09158v1 fatcat:rf5f2rvgnjemfcyh6oekmopvgy

Augmenting anycast network flows

Sebastian Brandt, Klaus-Tycho Foerster, Roger Wattenhofer
2016 Proceedings of the 17th International Conference on Distributed Computing and Networking - ICDCN '16  
While augmenting s-t flows of a single commodity is a well-understood concept, we study updating flows in a multi-commodity setting: Given a directed network with flows of different commodities, how can  ...  Updating network flows in a real-world setting is a nascent research area, especially with the recent rise of Software Defined Networks.  ...  Let N be a network, let K = (K1, . . . , K k ) be a multi-commodity, and fix some i ∈ N with 1 ≤ i ≤ k.  ... 
doi:10.1145/2833312.2833450 dblp:conf/icdcn/BrandtFW16 fatcat:sdk37gdu6ja4fiwagbixfq6d34

Inefficiency in Networks with Multiple Sources and Sinks [chapter]

Hyejin Youn, Michael T. Gastner, Hawoong Jeong
2009 Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering  
Here we study the price of anarchy in multi-commodity networks, (i.e., networks where traffic simultaneously flows between different origins and destinations).  ...  We study the problem of optimizing traffic in decentralized transportation networks, where the cost of a link depends on its congestion.  ...  Unfortunately, flows in human transportation networks or in the Internet fall in this class of so-called "multi-commodity flows".  ... 
doi:10.1007/978-3-642-02466-5_32 fatcat:7ujdbji2dvhidfk2wtgxlqwnz4

A Min-Max multi-commodity flow model for wireless body area networks routing

Hassine Moungla, Nora Touati, Osman Salem, Ahmed Mehaoua
2012 2012 IEEE Consumer Communications and Networking Conference (CCNC)  
In this paper, we propose a Min-Max multi-commodity flow model for WBSNs which allows to prevent sensor node saturation, by imposing an equilibrium use of sensors during the routing process taking into  ...  in wireless sensor networks might not be efficient in WBSNs.  ...  MULTI-COMMODITY FLOW FORMULATION The multi-commodity network flow problem is one of the best-known problems in network optimization [1] .  ... 
doi:10.1109/ccnc.2012.6180996 dblp:conf/ccnc/MounglaTSM12 fatcat:szjradqfj5alhldx6zcccwy7rq

EVALUATION OF DUAL DECOMPOSITION AS A METHOD OF SIMULTANEOUS ROUTING AND RESOURCE ALLOCATION (SRRA)

Murali Sankarshan, S. A. Murthy
2015 ELK Asia Pacific Journal of Project Management and Control  
Multi-commodity Flow issues with capacities of fixed line: The capacities are generally fixed in traditional issues of multi-commodity network flow and one is to reduce certain convex function of the variables  ...  The author utilized a capacitated model of multi-commodity flow to explain the flows of data in network.  ... 
doi:10.16962/eapjpmc/issn.2394-9376/2015/v1i1.03 fatcat:ks4mrh5qebcrridkidkkrxhqca
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