{"product_id":"selected-topics-in-operations-research-and-mathematical-economics-proceedings-of-the-8th-symposium-on-operations-research-held-at-the-university-of-9783540129189","title":"Selected Topics in Operations Research and Mathematical Economics: Proceedings of the 8th Symposium on Operations Research, Held at the University of","description":"\u003cp\u003e • Author(s): G. Hammer\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Operations Research\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eLet eRN be the usual vector-space of real N-uples with the usual inner product denoted by (., . ). In this paper P is a nonempty compact polyhedral set of mN, f is a real-valued function defined on (RN continuously differentiable and fP is the line- ly constrained minimization problem stated as: min (f(x) I x P) - For computing stationary points of problemtj) we propose a method which attempts to operate within the linear-simplex method structure. This method then appears as a same type of method as the convex-simplex method of Zangwill [6]. It is however, different and has the advantage of being less technical with regards to the Zangwill method. It has also a simple geometrical interpretation which makes it more under- standable and more open to other improvements. Also in the case where f is convex an implementable line-search is proposed which is not the case in the Zangwill method. Moreover, if f(x) = (c, x) this method will coincide with the simplex method (this is also true in the case of the convex simplex method) i if f(x) = I Ixl 12 it will be almost the same as the algorithm given by Bazaraa, Goode, Rardin [2].\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45284550705303,"sku":"9783540129189","price":7345.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540129189.webp?v=1769281535","url":"https:\/\/atlanticbooks.com\/products\/selected-topics-in-operations-research-and-mathematical-economics-proceedings-of-the-8th-symposium-on-operations-research-held-at-the-university-of-9783540129189","provider":"Atlantic Books","version":"1.0","type":"link"}