Improved Primal Simplex Algorithms for Shortest Path, Assignment and Minimum
Language: English
Published by Forgotten Books, 2022
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.46
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book introduces a new and improved primal simplex pivot rule for the minimum cost flow problem, demonstrating its worst-case complexity and analyzing its implementation for the shortest path and assignment problems. The author expands on existing research and presents a detailed complexity analysis, providing valuable insights into the potential of this rule. This book positions itself as a significant contribution to the field of network optimization and is essential reading for researchers and practitioners interested in efficient algorithms for network flow problems. Its in-depth exploration of the scaling pivot rule and its applications make it an invaluable resource for advancing the theory and practice of network optimization. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. …
Seller Inventory # 9781332265107_0
- Title
- Improved Primal Simplex Algorithms for Shortest Path, Assignment and Minimum
- Author
- Ravindra K. Ahuja, James B. Orlin
- Publisher
- Forgotten Books
- Publication year
- 2022
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332265103
- ISBN 13
- 9781332265107
- Seller catalogs
- Calculus
The network simplex algorithm maintains a feasible basis structure at each iteration and successively modifies the basis structure via pivots until it becomes an optimum basis structure. The special structure of the basis enables the simplex computations to be performed very efficiently. In the following discussion, we give a brief summary of the network simplex algorithm and the data structure required to implement the algorithm.
The basis B of the minimum cost flow problem is a spanning tree. We consider this tree as hanging from node 1. The tree arcs either are upward pointing (towards node 1) or are downward pointing (away from node We associate three indices with each node i in the tree: a predecessor index pred( i), a depth index depth( i), and a thread index, thread( i). Each node i has a unique path connecting it to node 1. The predecessor index stores the first node in that path (other than node i and the depth index stores the number of arcs in the path For node 1, these indices are zero. We say that pred(i) is the predecessor of node i, and i is the successor of node pred( i). The descendants of a node i consist of node i itself, its successors, successors of its successors, and so on. The set of descendants of a node i induce a subtree rooted at node i. We denote the nodes of the subtree by the set D(i). Node i is called an ancestor of nodes in D(i). The thread indices define a traversal of the tree, a sequence of nodes that walks or threads its way through the nodes of the tree, starting at node 1 and visiting nodes in a top to bottom and left to right order, and then finally retuming to node 1. The thread indices can be formed by performing a depth first search of the tree. The thread indices provide a means for visiting (or finding) all descendants of a node i in C(| D(i) I) time. For a detailed description of the tree indices see Kennington and Helgason In the basis there is a unique path connecting any two nodes. We refer to this path as the basis path.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"Synopsis" may belong to another edition of this title.
Product Description
"About the title" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
Shipping rates from United Kingdom to U.S.A.
| Item | 5 to 10 business days | 5 to 10 business days |
|---|---|---|
| First item | £ 0.00 | £ 0.00 |
Payment methods
Store description
Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
Specialty
TradeSeller's business information
FB &c Ltd
Dalton House, 60 Windsor Avenue
London, United Kingdom SW19 2RR
Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
Terms of sale
All books are Print on Demand and will be printed upon purchase and shipped in New Condition. Orders typically ship within 3-5 business days. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the ask bookseller a question link to contact us and we'll respond within 2 business days.
Other policies
Please note that we cannot accept cancellation requests once an order has been placed.
All Forgotten Books titles are printed on demand. The moment an order is submitted, it is automatically transmitted to our distributor and then forwarded to the printer, where it enters production. This process begins within minutes and is entirely automated.
A cancellation, however, is a manual, multi-step request that must pass through several systems. By the time such a request reaches the appropriate stage, the book has almost always been printed, packed, or already dispatched, which makes cancellation impossible.
For this reason, we kindly ask that you double-check the title, edition, and your shipping details before placing an order.
If you change your mind after ordering, you are welcome to return the book once it arrives, and a refund will be issued in accordance with AbeBooks’ return policy.
Please also make sure your address is correct before ordering as we will no be able to intervene and make changes before the book is shipped.
We can provide digital samples for all our print books ahead, so don't hesitate to reach out.
Returns
As a small publisher we do not have the facilities to resell returned books, so any returned book will be recycled. If the book is damaged or defective please continue with the return process, and thank you for letting us know so that we can improve our products. If you’re returning for another reason, however, please consider whether you could donate or gift the book instead so that it avoids the waste pile.
Thank you in advance!
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to Forgotten Books, London, United Kingdom, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
We are committed to minimizing our environmental impact and reducing shipping costs by manufacturing and shipping our products as close to our customers as possible. For orders within the United States, your items are shipped from the USA. UK orders are fulfilled from the UK, while European orders are shipped from a location within Europe. Canadian orders may be shipped from either Canada or the USA, depending on the size of the order.
For our customers in other regions around the world, we ensure that your orders are shipped from the closest available location to reduce delivery times and carbon footprint. Our goal is to deliver your products efficiently, no matter where you are located.
Please be aware that depending on the size of your order and local legislation in your country, there may be additional taxes, customs duties, and fees imposed by the destination country. These charges are not included in the item price or shipping cost. They are the responsibility of the customer and must be paid upon delivery.
We recommend checking with your local customs office for more information on potential charges before placing your order. Forgotten Books is not responsible for any customs duties, taxes, or fees incurred.