Titlebook: Combinatorial Optimization Problems in Planning and Decision Making; Theory and Applicati Michael Z. Zgurovsky,Alexander A. Pavlov Book 201

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2198-4182 the next fields of computer science: combinatorial optimization, scheduling theory, decision theory, and computer-aided production management systems. It also offers a quick introduction into the theory of PSC-algorithms,?which are a new class of efficient methods for intractable problems of combin

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P. Frick,A. Babiano,B. Dubrullet signs of optimality, and an approximation algorithm. Since the formulated problems are quite complex, each component of the PSC-algorithms contain many subalgorithms, each of which implements a separate original heuristic. We give examples of the problems solving.

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Introduction,On the basis of these problems, we have created a hierarchical model of planning and decision making for objects with a network representation of technological processes and limited resources (Chap.?.). We say that the problem is intractable if it is NP-hard (NP-hard in the strong sense) or such for

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Optimal Scheduling for Two Criteria for a Single Machine with Arbitrary Due Dates of Tasksue dates and maximum start time of the machine or minimum total earliness of the tasks completion times in relation to their due dates. It is shown that for the criterion of maximum start time of the machine the problem is polynomially solvable, we give a polynomial algorithm for its solving. With a

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The Total Tardiness of Tasks Minimization on Identical Parallel Machines with Arbitrary Fixed Times mon due date in case when the start times of machines are fixed at arbitrary time points less than the due date. We present an efficient PSC-algorithm of its solving which is a generalization of our previously developed results: for the problem with equal start times of machines we have derived two

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The Total Weighted Completion Time of Tasks Minimization with Precedence Relations on a Single Machins on their processing order are given by an arbitrary oriented acyclic graph. The problem is NP-hard in the strong sense. Efficient polynomial algorithms for its solving are known only for cases when the oriented acyclic graph is a tree or a series-parallel graph. We give a new efficient PSC-algori