Computer Science and Operations Research. New Developments by Osman Balci

By Osman Balci

The interface of Operation examine and machine technology - even though elusive to an actual definition - has been a fertile region of either methodological and utilized study. The papers during this e-book, written by means of specialists of their respective fields, show the present state of the art during this interface throughout a extensive spectrum of study domain names which come with optimization options, linear programming, inside element algorithms, networks, special effects in operations examine, parallel algorithms and implementations, making plans and scheduling, genetic algorithms, heuristic seek innovations and knowledge retrieval

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T h e first model — NAVY — is a simplified version of t h e complete model which we we call H U G E N A V Y . T h e size and characteristics of both problems are given in Table 1. Both problems have one side (non-network) variable which represents t h e readiness measure. Table. 1. Characteristics of Test Problems. Problem NAVY HUGENAVY Rows 4144 36013 LP Columns 6842 64542 JNetwork Nodes Arcs 3457 6841 30639 64541 N u m b e r of side constraints 687 5374 Solution Strategies Before we give t h e solution statistics for t h e H U G E N A V Y problem we mention two particularly i m p o r t a n t components of t h e G E N O S / L P system.

T h e condensation ^t-i —* t t restores normality. T h e last posiform is normal a n d has a linear t e r m f. T h u s G^ t t has a monocycle consisting of t h e loop £, of t h e stem S a n d of t h e blossom B (notice 2 t h a t , since t h e two blossoms a n d t h e stem are pairwise edge-disjoint, n o edge along S or along B has been destroyed by t h e t — 2 consensus). 1 is 2 t squeezable a n d hence is weakly squeezable. Conversely, let us assume t h a t t h e Q N P is weakly squeezable.

These nodes are connected t o second layer nodes. 46 L a y e r 2: T h e Combat units. T h e r e is a node for each unit to which personnel are to be assigned. , they have no exogenous supply or demand. These nodes are connected to third layer nodes. L a y e r 3 : T h e Mission areas. There is a node for every mission area of each unit. These nodes have supply equal t o t h e number of personnel already on board a given unit mission area. Finally these nodes are connected to a sink node with demand equal to total personnel supply.

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