# Applied Integer Programming: Modeling and Solution by Der-San Chen PDF By Der-San Chen

ISBN-10: 0470373067

ISBN-13: 9780470373064

Similar linear programming books

New PDF release: Leray-Schauder type alternatives, complementarity

Complementarity concept, a comparatively new area in utilized arithmetic, has deep connections with a number of features of basic arithmetic and likewise has many purposes in optimization, economics and engineering. The research of variational inequalities is one other area of utilized arithmetic with many functions to the learn of definite issues of unilateral stipulations.

This quantity encompasses a choice of papers pertaining to lectures provided on the symposium "Operations learn 2004" (OR 2004) held at Tilburg college, September 1-3, 2004. This foreign convention happened below the auspices of the German Operations learn Society (GOR) and the Dutch Operations study Society (NGB).

Handbook of Semidefinite Programming - Theory, Algorithms, by Henry Wolkowicz, Romesh Saigal, Lieven Vandenberghe PDF

Semidefinite programming (SDP) is without doubt one of the most enjoyable and lively examine components in optimization. It has and maintains to draw researchers with very different backgrounds, together with specialists in convex programming, linear algebra, numerical optimization, combinatorial optimization, keep watch over concept, and records.

Laurent Deroussi's Metaheuristics for Logistics PDF

This booklet describes the most classical combinatorial difficulties that may be encountered whilst designing a logistics community or using a offer chain. It indicates how those difficulties might be tackled through metaheuristics, either individually and utilizing an built-in method. a major variety of strategies, from the best to the main complicated ones, are given for assisting the reader to enforce effective ideas that meet its wishes.

Extra info for Applied Integer Programming: Modeling and Solution

Example text

Note that x1^ can be interpreted as the fraction (between 0 and 1 inclusive) of demand, rather than the quantity supplied, at store j satisfied by distribution center i. Also note that the "big Af ' is replaced by "«", which is the total number of retail stores. This replacement is valid because the demand at each store location, after the transformation, is equal to 1. Thus, the total demand at n store locations is n. «), to replace each /' of J2¡ x'¡j ^ ny¡- Although this replacement multiplies the number of constraints, this alternative does give a better formulation.

For the following problem formulation, we further assume that ( 1 ) the production cost is proportional to the production quantity and (2) the carrying cost is proportional to the ending inventory level of the previous period. Step 1 Input parameters: Decision variables: Constraints: State variables: Objective: number of periods (7), demand in each period (d,), setup cost for each period (/",), unit production cost (c¡), unit holding cost {ht) whether or not to produce in each time period (y, = 1 or 0) and how much if the decision is to produce (x,) satisfy the demand in each period t inventory level at the end of each period (s,), assuming the beginning inventory level So = 0 minimize the total production and inventory costs Step2.

19 Transform each of the following nonstandard integer programs into a standard form of IP defined in this text. 19 Maximize x\ +x2 + x3 subject to -x\ + x2 > 8 X\ —X2 + X3 < 2 x\, x3 > 0 x2 < 15 2 MODELING AND MODELS In Chapter 1, we mathematically defined a mixed integer program (MIP). A mathematical definition in general has the advantages of being precise, concise, and capable of data manipulation. But to most managers and even some practitioners, it may be too abstract to comprehend and difficult to relate to reality.