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Minimax Under Transportation Constrains (Paperback, Softcover reprint of the original 1st ed. 1999): Vladimir Tsurkov, A.... Minimax Under Transportation Constrains (Paperback, Softcover reprint of the original 1st ed. 1999)
Vladimir Tsurkov, A. Mironov
R2,967 Discovery Miles 29 670 Ships in 10 - 15 working days

Transportation problems belong to the domains mathematical program ming and operations research. Transportation models are widely applied in various fields. Numerous concrete problems (for example, assignment and distribution problems, maximum-flow problem, etc. ) are formulated as trans portation problems. Some efficient methods have been developed for solving transportation problems of various types. This monograph is devoted to transportation problems with minimax cri teria. The classical (linear) transportation problem was posed several decades ago. In this problem, supply and demand points are given, and it is required to minimize the transportation cost. This statement paved the way for numerous extensions and generalizations. In contrast to the original statement of the problem, we consider a min imax rather than a minimum criterion. In particular, a matrix with the minimal largest element is sought in the class of nonnegative matrices with given sums of row and column elements. In this case, the idea behind the minimax criterion can be interpreted as follows. Suppose that the shipment time from a supply point to a demand point is proportional to the amount to be shipped. Then, the minimax is the minimal time required to transport the total amount. It is a common situation that the decision maker does not know the tariff coefficients. In other situations, they do not have any meaning at all, and neither do nonlinear tariff objective functions. In such cases, the minimax interpretation leads to an effective solution.

Vascular Anatomy of the Spinal Cord - Neuroradiological Investigations and Clinical Syndromes (Paperback, Softcover reprint of... Vascular Anatomy of the Spinal Cord - Neuroradiological Investigations and Clinical Syndromes (Paperback, Softcover reprint of the original 1st ed. 1988)
C. Rossberg; Armin K. Thron; Assisted by A. Mironov
R2,932 Discovery Miles 29 320 Ships in 10 - 15 working days

The idea for this treatise on the radiological anatomy of superficial and deep spinal cord vasculature evolved from daily routine neuroradiological work. This was also the reason for subdividing the monograph into a postmortem anatomical and a clinical part. The actual importance of a clear conception of radio anatomic fundamentals was made clear by many clinical conferences with neurologists, neurosurgeons and orthopedists, where a lack of knowledge about medullary syndromes of suspected vascular origin became evident. Also among neuroradiologists there is still widespread uncertainty in the interpretation of myelograms and angiographies in such cases. A study of the spinal cord's angioarchitecture is all the more justified and necessary considering the vast number of descriptions of cerebro vascular anatomy and pathology. The clinical challenge posed by patients suffering from partial or complete transverse spinal lesions has grown due to new diagnostic and therapeutic approaches. Myelography using water-soluble contrast media, X-ray computed tomography, magnetic resonance imaging and spinal angiography today allow and require both earlier and topographically and pathogenetically more exact classification of diseases of the spinal cord and its surrounding structures. Due to progress in microneurosurgery and interventional neuroradiology, even intramedullary lesions have become more and more accessible and treatable. Therefore this monograph mainly addresses those concerned with invasive therapeutic techniques and who are familiar with the interpretation of radio anatomic findings. A comprehensive description of medullary vascular syndromes would be beyond the scope of this treatise."

The Golgi Apparatus - State of the art 110 years after Camillo Golgi's discovery (Paperback, 2008): Alexander A. Mironov,... The Golgi Apparatus - State of the art 110 years after Camillo Golgi's discovery (Paperback, 2008)
Alexander A. Mironov, Margit Pavelka
R4,620 Discovery Miles 46 200 Ships in 10 - 15 working days

This book summarizes all new data obtained after development of methods of Golgi complex sub fractionation, molecular biology and microscopy. It collects the full range of expertise, different points of view and different approaches. The book is devoted to molecular modes of the function of the Golgi apparatus as a whole, taking into account all experimental data. The book aims to make the functional organization of the Golgi apparatus more understandable.

The Golgi Apparatus - State of the art 110 years after Camillo Golgi's discovery (Hardcover, 2008): Alexander A. Mironov,... The Golgi Apparatus - State of the art 110 years after Camillo Golgi's discovery (Hardcover, 2008)
Alexander A. Mironov, Margit Pavelka
R4,654 Discovery Miles 46 540 Ships in 10 - 15 working days

This book and accompanying CD-ROM summarizes all new data obtained after development of methods of Golgi complex sub fractionation, molecular biology and microscopy. It collects the full range of expertise, different points of view and different approaches. The book is devoted to molecular modes of the function of the Golgi apparatus as a whole, taking into account all experimental data. The book aims to make the functional organization of the Golgi apparatus more understandable.

Minimax Under Transportation Constrains (Hardcover, 1999 ed.): Vladimir Tsurkov, A. Mironov Minimax Under Transportation Constrains (Hardcover, 1999 ed.)
Vladimir Tsurkov, A. Mironov
R3,156 Discovery Miles 31 560 Ships in 10 - 15 working days

Transportation problems belong to the domains mathematical program ming and operations research. Transportation models are widely applied in various fields. Numerous concrete problems (for example, assignment and distribution problems, maximum-flow problem, etc. ) are formulated as trans portation problems. Some efficient methods have been developed for solving transportation problems of various types. This monograph is devoted to transportation problems with minimax cri teria. The classical (linear) transportation problem was posed several decades ago. In this problem, supply and demand points are given, and it is required to minimize the transportation cost. This statement paved the way for numerous extensions and generalizations. In contrast to the original statement of the problem, we consider a min imax rather than a minimum criterion. In particular, a matrix with the minimal largest element is sought in the class of nonnegative matrices with given sums of row and column elements. In this case, the idea behind the minimax criterion can be interpreted as follows. Suppose that the shipment time from a supply point to a demand point is proportional to the amount to be shipped. Then, the minimax is the minimal time required to transport the total amount. It is a common situation that the decision maker does not know the tariff coefficients. In other situations, they do not have any meaning at all, and neither do nonlinear tariff objective functions. In such cases, the minimax interpretation leads to an effective solution."

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