Download e-book for iPad: Network Models in Optimization and their Applications in by Fred Glover

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By Fred Glover

ISBN-10: 0471571385

ISBN-13: 9780471571384

ISBN-10: 1118033175

ISBN-13: 9781118033173

Detailed in that it makes a speciality of formula and case stories instead of strategies methods protecting purposes for natural, generalized and integer networks, similar formulations plus winning strategies of community types. each bankruptcy includes a uncomplicated version that's elevated to deal with extra advanced advancements, a synopsis of current purposes, a number of case reports, no less than 20 routines and valuable references.

An Instructor's guide proposing distinctive recommendations to the entire difficulties within the publication is out there upon request from the Wiley editorial department.Content:
Chapter 1 Netform Origins and makes use of: Why Modeling and Netforms are very important (pages 1–19):
Chapter 2 primary types for natural Networks (pages 20–62):
Chapter three extra natural community formula concepts (pages 63–104):
Chapter four Dynamic community versions (pages 105–146):
Chapter five Generalized Networks (pages 147–189):
Chapter 6 Netforms with Discrete requisites (pages 190–248):

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Extra resources for Network Models in Optimization and their Applications in Practice

Sample text

9, No. 4, p. 366. Copyright 1977, Institute of Industrial Engineers. unification and brevity we will focus attention on the most general of these model types, the trans-shipment problem. 19. In this cash flow network, the nodes may be thought of as corresponding to subsidiaries of a central company that operates in different locations. The supplies and demands, which are shown in the triangles leading into a node for a supply and out of a node for a demand, may be thought of as representing excess or deficit cash positions.

17 Multi-product/distribution example (structure only, costs and bounds suppressed). 17 would not work to model a multiproduct problem where each product uses resources at a different rate and where there are joint restrictions on the total flow of all products at plants and distribution centers. For example suppose we have available 400 h of processing time at Plant 1 and 300 h at Plant 2 and that Distribution Center 1 has 200 ft3 of storage capacity available while Distribution Center 2 has 400 ft3.

More complex practical problems typically involve intermediate junctions, or trans-shipment nodes, through which goods may be shipped (and perhaps temporarily stored) en route to their final destination. A simple yet extensively studied example of a trans-shipment network problem is the classical shortest path problem, where an individual seeks a minimum distance route from a single origin (source) to a single destination (sink). This problem is expressed as a pure network by introducing a supply of exactly one unit at the origin and a demand of exactly one unit at the destination (since one person enters the system at the origin and leaves at the destination).

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Network Models in Optimization and their Applications in Practice by Fred Glover


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