Optimal Control Theory: Applications to Management Science and Economics

By Suresh P. Sethi, G. Thompson. 2000

833 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/97b34bd2c74beaec0c92e896dfcb587a62994935

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Citations in the corpus

Competitive Advertising Under Uncertainty: A Stochastic Differential Game Approach (2004, methodology): “…as dynamics, competition, competitive and non-competitive decay, and also stochasticity, have been commonly accepted and described by individual models, there have been few 1 The techniques used in this paper are discussed in textbooks on dynamic optimization, including Sethi and Thompson (2000).”
Generic and Brand Advertising Strategies in a Dynamic Duopoly (2005, methodology): “Since both advertising and sales are time-varying, optimal control methods are used to analyze the situation (Sethi and Thompson 2000).”
Cooperative Advertising and Pricing in a Dynamic Stochastic Supply Chain: Feedback Stackelberg Strategies (2008, methodology): “Thus, we can maximize the channel proﬁt by ﬁrst maximizing the integrand of (4) with respect to P , holding U ﬁxed, and then solve the resulting optimal control problem to obtain the optimal U (see, e.g., Sethi and Thompson 2000, ‰ 7.1.1).”
A dynamic model and an algorithm for short-term supply chain scheduling in the smart factory industry 4.0 (2016, background): “…theory for studying multi-stage, multi-period dynamic systems with continuous variables and performance indicators accumulated over time is optimal control theory in general and optimal programme control (OPC) in particular (Athaus and Falb 1966; Lee and Markus 1967; Sethi and Thompson 2000).”
The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems (2011, methodology): “The arrival of the digital computer has enabled the application of optimal control theory and methods to many complex problems, see Chawla and Lenhart (2000), Jafari Samimi et al. (2006), and Sethi and Thompson (2000).”
Control Techniques for Complex Networks: Workload (2007, methodology): “Related hierarchical decomposition techniques are contained in the work of Gershwin [204, 136], Perkins and Kumar [ 395, 396, 394], Sethi [434, 433], and Muharremoglu and Tsitsiklis [ 377].”
A Hierarchical Marketing Communications Model of Online and Offline Media Synergies (2009, unknown): “…value of the profit stream given by C x1; x2; x3ð Þ = Z l 0 e qt mY tð Þ x1 tð Þ x2 tð Þ x3 tð Þð Þdt: ðA2Þ To solve this problem, we apply the Maximum Principle (see Sethi and Thompson 2000, Ch. 2) and write the Hamiltonian function H = mY x1 x2 x3ð Þ + l a1Z + a2X3 + a3Z X3 1 kð ÞYð Þ;…”