(1) The use of linear programming as an aid to decision making when allocating scarce investment funds has been widely advocated.

(2) An extension of linear programming which overcomes this objection is that of goal programming.

(3) Semidefinite programming is an extension of linear programming.

(4) Linear programming is usually applied to multi-product decision support.

(5) A standard form of interval linear programming was defined.

(6) The optimization problem is solved by linear programming technique.

(7) One significant development was the introduction of linear programming.

(8) Solve the linear programming problem in Practice Question 14.

(9) A linear programming design technique is proposed for designing the variable-bandwidth linear-phase FIR filters in the weighted minimax sense.

(10) In addition, the Linear Programming solution of assignment problem is offered.

(11) By using the method of fuzzy linear programming the optimal mining plan of the groundwater has been also presented.

(12) A heuristic method combined genetic algorithm and parameter linear programming is proposed to the FCLSP. A simulation example shows that the method is effective.

(13) Finally, the fuzzy linear programming problems used in drug purchase of raw materials and in examples to illustrate this.

(14) This book addresses the subjects of linear programming and network flows.

(15) In chapter three we introduce the dual linear programming theory with fuzzy parameters, link the fuzzy matrix game with dual linear programming theory, and give the methods to solve the game.

(16) It provides a framework for both linear programming and quartic programming.

(17) Since the development of the simplex algorithm, linear programming has been used to solve optimization problems in industries as diverse as banking, education, forestry, petroleum, and trucking.

(18) In introducing gray programming and fuzzy linear programming into the scope of management project of construction machinery, various programming problems in engineering can be solved.

(19) An equivalent linear programming model is deducted from the original model to facilitate the computation.

(20) The fuzzy linear programming (FLP) problem with nonlinear membership function (NLMF) is usually a nonlinear programming (NLP) problem.

(21) Using the linear programming method, they have set up a mathematic optimization model for adjusting age-grade of timber forest in Hushan Forestry Farm of Suichang, Zhejiang.

(22) The genetic algorithm, the parameter linear programming method and a heuristic method were used in the developed method.

(23) We can ues the the Hungary solution in Assignment Problem in Linear Programming to solve the problem about machine admeasure.

(24) Firstly, it is pointed out that the combination forecasting model of minimizing maximum absolute error is the special case and the solution of this model is given by linear programming.

(25) In order to minimize the expected loss of overstock and shortage, first of all the optimal supply is determined, and then a mixed integer linear programming model under certainty is built.

(26) This paper discusses an optimization method to determine the minimum cost scheduling in network schedule by means of fuzzy linear programming.

(27) In 1947, George Dantzig developed an efficient method, the simplex algorithm, for solving linear programming problems.

(28) In the case of maintaining the array two main plane side lobe equal to ideal ones, the array average side lobe level (AVSLL) is optimized by the linear programming.

(29) With the practical situation of ironstone resource utilization in CISC, linear programming is adopted for the optimization model.

(30) The organization and planning problem of production is one of the important problems of linear programming study and also is very important problem in production management.

(31) It ameliorates how to decide optimal point of fuzzy linear programming with product fuzzy decision, and analyzed the product optimal point under certain conditions.

(32) The one-dimensional cutting problems are usually solved using branch-and-bound, dynamic programming or integer linear programming.

(33) Maximum and minimum pumpage and optimum operation of water supply area in Baodian mine area in different periods and in different conditions are studied by grey linear programming.

(34) The model uses mean absolute deviation of return as measure of the risk and gains a optimal portfolio by solving the linear programming.

(35) Then we prove that the optimal fuzzy decision of fuzzy linear programming is the intersection ofthe two functions.

(36) As for this kind of programming, people mainly turn a fuzzy linear programming problem into a classical linear programming through extensive investigation before we solved the problem.

(37) To solve a linear programming with the dual simplex algorithm, it is necessary to find a primal regular solution.

(38) Traditional linear programming technique and non-linear programming technique can not deal with the problem of integer variable successfully, and the simple genetic algorithm (SGA) is not very robust.

(39) Linear programming models seem tailor - made for solving capital budgeting problems when resources are limited.

(40) The expressions of dual programming are the same both in the linear programming and in the conic programming, as the dual cone. And the method defining dual programming is universality.

(41) An interactive interval linear programming algorithm is presented to solve a class of multiple criteria decision problems with interval numbers in the decision indices of decision alternatives.

(42) Methods of building linear programming mathematical model for feed compounding and main procedure of realizing improveds simplex algorithm with computer are presented in this paper.

(43) In this paper , the author chiefly adopt the method of interval number linear programming to study the portfolio selection problem under uncertain states .

(44) A correlation of the micro activity of the equilibrium catalyst with the fresh catalyst make-up rate was obtained by the linear programming.

(45) Both the methods proposed can directly be applied to fuzzy linear programming, and also can be extended to general fuzzy mathematical programming (linear or nonlinear).

(46) Based on fuzzy set theory, this paper presents a fuzzy linear programming model that is used calculating minimal unserved energy cost( UEC).

(47) The problems of farm machinery linear programming Selection model in practical using are analysed according to the requirements and the characteristics of farm machine field operations in China.

(48) This paper sets up a multiobjective linear programming model ( MLPM ) for the oilfield recovery system.

(49) Second is to transfer the fuzzy linear programming into one general linear programming, based on the fuzzy decision, then we can obtain the fuzzy optimal solution by solving this linear programming.

(50) Secondly, we consider the degenerate linear programming problem with upper bounded variable constrained.

(51) Lastly, this thesis presents a mixed-integer linear programming formulation that addresses the simultaneous optimization of the recipe optimizing and short-term scheduling problem.

(52) The fuzzy linear programming is changed into general linear programming and solved by simplex method.

(53) Two kinds of mathematical model, namely, minimum freight linear programming model and goal programming model were used to study and analyze the problem of the lines' capacity cooperation.

(54) A rotation transformation method is to be used in changing an ordinary linear programming (LP)problem into an equivalent easily-solved continuous knapsack one after a finite iteration.

(55) Realize linear programming simplex method, the compiler environment VC 6.0, development language C.

(56) In this paper, bilevel linear programming with fuzzy coefficients is studied.

(57) Students will focus on decision analysis, forecasting techniques, linear regression, project scheduling, queuing theory, and linear programming.

(58) A two stage method is proposed to elicit the membership function of fuzzy objective coefficients in the setting of fuzzy linear programming.

(59) This paper presents an improved (infeasible) simplex method for linear programming, in which some of vertex points, corresponding to the iterative process, can be out of the feasible domain of (LP).

(60) Initiating the construction of CGE model together with its dual linear programming and values traced, the paper expatiates the contribution o.

(61) Basic theory and methods of Linear programming, which include duality principle, simplex method and linear programming problems with particular cases.

(62) Chapter four gives ABS algorithms for solving linear Diophantine inequations and their application in integer linear programming.

(63) The discussion of the relation of bilevel linear programming problem ( BLPP ) and BBPP is also given.

(64) In this paper, a new linear programming algorithm of optimization design for cylindrical spiral spring is introduced.

(65) The paper presents model for interval number linear programming of portfolio investment.

(66) In order to calculate the life insurance rate in condition of multiple interest rates, a linear programming model was established according to the principle of equivalence.

(67) The main goal of this paper is to solve fuzzy linear programming with fuzzy variables by making use of the method of structured element.

(68) Fuzzy linear programming with constraint coefficients of triangle fuzzy numbers is transformed into classical linear programming by using a new ranking criterion of fuzzy numbers.

(69) In addition, this text explores the optimum distribution question of the limited fund with the linear programming model(), attempt to analysis complicated problem quantitatively.

(70) Establishing optimize mode in term of the least cost and transform to integral linear programming on single aim.

(71) Starting from the Operations Research, this paper proposes method of linear programming approach with weight to fitting variogram, effectively guarantee the non-negative of the results of solving.

(72) This model can be converted into a common multi-objective linear programming, which can be efficiently solved by the corrected Z-W method of interactive programming algorithm.

(73) In the paper, Sequence linear programming is used to solve ship form model to obtain an optimal ship form with minimum resistance based on LINGO software.

(74) The third part of the thesis, according to the sequence of multi-target's threat, a resource allocation plan, based on linear programming, is brought forward.

(75) Based on duality theory of linear programming and graph theory, it is proved that the matching game defined on a bipartite graph has the stable core if and only if the graph has a perfect matching.

(76) An optimization approach combined GA with parameter linear programming is presented ot solve the FCLSP.

(77) The direct optimization method based on the mixed integer linear programming is proposed to solve the very involved nuclear power plant loading pattern search problem.

(78) A heuristic method combined genetic algorithm and parameter linear programming is proposed to the FCLSP.

(79) Through linear programming dynamic programming and with the aid of computer, the utilization factor of material has been effectively increased.

(79) try its best to collect and create good sentences.

(80) At present, many interval and foreign scholars all study interval number linear programming problem . But there are a few of methods of interval number linear programming for the portfolio investment.

(81) Based on the dual relaxation method, an extended convex programming and sequential linear programming optimal power flow approach is presented for online optimal dispatch.

(82) Then, we start from uniform approximation to offer optimal transfer matrix algorithm and use method of linear programming to solve for optimal transfer matrix.

(83) This paper solves some special estimating value problems of double integral with the help of the optimality principle and graphical solution of the linear programming.

(84) Two models have been studied. One is the continuous variable linear programming model, which has been applied successfully to a tanker fleet. Another is the mixed integer programming m...

(85) We built an model for periodic multi - installment algorithm by linear programming.

(86) In this paper a dual simplex method for linear programming with bounded variables was given, which generalizes and extends the classic dual simplex method for a general linear programming.

(87) The fixed charge transportation problem ( FCTP ) is a special linear programming problem.

(88) A new mixed integer linear programming (MILP) model for the single hoist cyclic scheduling is developed, and based on this MILP model, a heuristic method together with linear programming is proposed.

(89) Linear programming approach combines with technique in tree of decomposition to realize fault location of large linear dynamic circuits quickly.

(90) Introduces a programming system for use with microcomputer and its function and characteristic. presents the linear programming model, simplex algorithm and some calculative processes.

(91) General linear programming has disadvantages of static, unadapted movement with objects and remarkable excursion.

(92) General linear programming has the disadvantages of static, unadapted movement with objects and remarkable excursion.

(93) In this way, according to gap acceptance theory and Linear Programming Model, we can establish a model of the weaving section in a traffic circle.

(94) Linear programming (LP) model of reactive-power optimization problem is solved by the most-obtuse-angle relaxation algorithm (MRA), in which trust region constraints on linear step sizes are added.

(95) The model was translated into linear programming through mathematical deduction.

(96) In this paper, the non-polynomial-time algorithm and polynomial-time algorithm is analyzed in detail, meanwhile, mathematical software for solving linear programming is presented and introduced.

(97) The linear programming with interval number in target function and constraint coefficient is analyzed thoroughly.

(98) When sensors track targets, the conventional algorithm set up allocation method between sensors and targets through linear programming.

(99) By a given example optimal mixed strategy is obtained by the method of linear programming.

(100) In the process of estimating the regression parameters with linear programming(LP) method, we give a principle of evaluating the fitness of the model, using the sample average of the closeness.

(101) The existence of the financial market equivalent of arbitrage conditions is proved, using risk-neutral probability, linear programming and dual linear programming.

(102) In the simplex method of linear programming, there is a big M method(the penalty factor method) for finding an initial feasible basis.

(103) Maximum flow problem is a close connection between graph theory and operations research, in particular with the linear programming, which has opened up new ways in graph theory application.

(104) This paper presents a strongly polynomial algorithm for a class of linear programming problems.

(105) It is solved by integrating conventional Interval Linear Programming and Chance-constrained Programming techniques together.

(106) Proposed a linear programming algorithm to replace quadratic programming in support vector machine solution process and sparse regularization, and guaranteed the sparseness of the solution.

(107) They were topologically designed with optimization criteria(OC)method, sequence linear programming(SLP)and the method of moving asymptotes(MMA)respectively.

(108) A branch exchange algorithm which is based on the pivoting operation of the linear programming algorithm is used to solve this problem, A practical e.

(109) Therefore,(http:///linear programming.html) an interval linear programming (ILP) model was constructed for coal blending under uncertainties. The model can directly handle uncertainties presented by interval parameters.

(110) This paper discussed some qualities of a kind of the Fuzzy linear programming, and then gave the definition of the shadow price of the Fuzzy restriction.

(111) In this paper, Random Boundary Interval Linear Programming(RBILP) which is one of dual uncertain optimization methods is proposed and applied in the optimization of energy supply planning in Beijing.

(112) A modeling technique, multi - cycle mixed - integer linear programming, for optimizing long - term planning in process industry was introduced.

(113) Combining with dynamic programming, linear programming and greedy method naturally, the system can be used for many goals.

(114) Finally, a relative simple algorithm used to solve fuzzy linear programming will be introduced.

(115) The linear programming part consists of Chapters three to seven.

(116) With citizen of Shanghai of computation of linear programming model the lowest on food consumes defray.

(117) A linear programming has been programmed to analyze mixture, a reciprocal treatment for the calibration of absorbance coefficient is presented.

(118) The thesis uses 0 - 1 integer linear programming to construct algorithm - hardware mapping models.

(119) Then the linear programming are solved by dual simplex method to get the solution of the original 2-dimentional second-order cone programming. Finally, some sensitivity analysis are made.

(120) Linear programming: a mathematical technique that solves resource allocation problems.

(121) A new interior point wideneighborhood predictorcorrectingalgorithm is presented for a linear programming problem.

(122) The main contents of this course include linear programming, simplex arithmetic.

(123) In order to solve linear programming problems, simplex method with bisection carries out pivoting operation on a series of sub-program.

(124) In this paper the meaning and role of shadow prices on the Dual linear programming in the readjustment of Feed formula are discussed.

(125) This paper presents a method of reservoir influence function, a model of general RIF is developed, linear programming approach used to solve it numerically.

(126) In this paper, a more in-depth study was conducted to the scheduling problem of fuzzy numbers, the fuzzy linear programming of the uncertain programming and its duality theory.

(126) try its best to collect and make good sentences.

(127) The fuzzy linear programming duality theory has been also studied in this article; the related theorems corresponding to the duality theorems in classical linear programming were proposed and proved.

(128) Two models have been studied. One is the continuous variable linear programming model, which has been applied successfully to a tanker fleet. Another is the mixed integer programming model. It may...

(129) The book can also be utilized in a one - semester course on linear programming and network flows.

(130) On the basis of the order relation, established the duality theory for a pair of symmetrical interval linear programming, and several an example to explain the theory.

(131) Secondly, the authors transform fuzzy linear programming with fuzzy variables into a classical linear programming by using SEWO, and simplify solution of fuzzy linear programming.

(132) Based on the principle of the dual simplex method about linear programming, the changes of the value of the objective function in iterations have been studied.

(133) Roll profile optimization using linear programming method is relatively simple as far as single stand mill is concerned and has wide application and actual efficiency.

(134) The fast decreasing algorithm of objective function is applied to linear programming with new constraint conditions.

(135) In interval AHP, an optimization procedure is performed via obtaining the upper and the lower linear programming models to determine the interval priorities for alternative project delivery systems.

(136) Linear programming based techniques for long-term planning and scheduling are well-developed. Mixed integer programming methods are also developed for short-term scheduling.

(137) Futhemore, the relation between complementary slackness in Kuhn-Tucker Condition and complementary slack theorem on dual linear programming has been showed.