Organized into two volumes. this book represents a real breakthrough in the field of linear programming (LP). The first volume addresses fundamentals, including geometry of feasible region, simplex method, implementation of simplex method, duality and dual simplex method, sensitivity analysis and parametric LP, generalized simplex method, decomposition method, interior-point method and integer LP method, as well as reflects the state of art by highlighting new results, such as efficient primal and dual pivot rules, primal and dual Phase-I methods. The second volume introduces contributions of the author himself, such as reduced and D-reduced-simplex methods, generalized reduced and dual reduced simplex methods, deficient-basis and dual deficient-basis-simplex methods, and face and dual face methods with Cholesky factorization, as well as with LU factorization. As a monograph, this book is a rare work in LP, containing many noval ideas and methods, supported by complete computational results. As revealed from the perspective of theory, the most recently achieved results, such as reduced and D-reduced simplex methods, as well as ILP solvers--- controlled-cut and controlled-branch methods, are very significant and promising, though there are no computational results available at this stage. With a focus on computation, the content of this book ranges from simple to profound, clear and fresh. In particular, all algorithms are accompanied by examples for demonstration whenever possible. As a milestone of LP, this book is an indispensable tool for undergraduate and graduate students, teachers, practitioners and researchers, in LP and related fields.
ویراست دیگر از اثر در قالب دیگر رسانه
پديدآور
Pan, Ping-Qi.
محل نشر
Singapore : Springer, 2022
وضعيت ويراست
Second edition.
عنوان
Linear programming computation.
شماره استاندارد بين المللي کتاب و موسيقي
9789811901461
شناسگر رکورد کتابشناختي
(OCoLC)1308480000.
موضوع (اسم عام یاعبارت اسمی عام)
عنصر شناسه ای
Linear programming.
عنصر شناسه ای
programming Linear
مقوله موضوعی
کد مقوله موضوعی
UYAM
کد مقوله موضوعی
COM018000
کد مقوله موضوعی
UYAM
کد سيستم
bicssc
کد سيستم
bisacsh
کد سيستم
thema
رده بندی ديویی
شماره
519
.
7/2
ويراست
23/eng/20230119
رده بندی کنگره
شماره رده
T57
.
74
نشانه اثر
.
P36
2023
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
عنصر شناسه اي
Pan, Ping-Qi,
شناسه افزوده (تنالگان)
عنصر شناسه اي
Ohio Library and Information Network.
مبدا اصلی
سازمان
کتابخانه مرکزی و مرکز اطلاع رسانی دانشگاه
تاريخ عمليات
20231220061624.0
قواعد فهرست نويسي ( بخش توصيفي )
pn
دسترسی و محل الکترونیکی
نام الکترونيکي
Linear Programming Computation-Springer (2023).pdf