[1] Y.E. Aghdam, H. Mesgarani, Z. Asadi, Estimate of the fractional advection-diffusion equation
with a time-fractional term based on the shifted Legendre polynomials, J. Math. Model. 11 (2023)
731-744.
[2] S. Axsater, Control theory concepts in production and inventory control, Int. J. Syst. Sci. 16 (1985)
161–169.
[3] J. Betts, Survey of numerical methods for trajectory optimization, J. Guid. Control Dyn. 21 (1998)
193–207.
[4] C. Canuto, M. Hussaini, A. Quarteroni, T. Zang, Spectral Methods in Fluid Dynamics, Springer
Series in Computational Physics, Springer, Berlin, 1991.
[5] M. Chazal, E. Jouini, R. Tahraoui, Production planning and inventories optimization: A backward
approach in the convex storage cost case, J. Math. Econ. 44(2008) 997–1023.
[6] A. Dolgui, D. Ivanov, S.P. Sethi, B. Sokolov, Scheduling in production, supply chain and industry
4.0 systems by optimal control: fundamentals, state-of-the-art and applications, Int. J. Prod. Res.
57 (2019) 411-432.
[7] G. Elnagar, M.A. Kazemi, M. Razzaghi, The pseudospectral Legendre method for discretizing
optimal control problems, IEEE Trans. Autom. Control 40 (1995) 1793–1796.
[8] F. Fahroo, I.M. Ross, Costate estimation by a Legendre pseudospectral method, J. Guid. Control
Dyn. 24 (2001) 270-277.
[9] F. Fahroo, I. M. Ross, Direct trajectory optimization by a Chebyshev pseudospectral method, J.
Guid. Control Dyn. 25 (2002) 160-166.
[10] B. Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press, Cam-
bridge, 1998.
[11] J.-P. Gayon, S. Vercraene, S.D.P. Flapper, Optimal control of a production-inventory system with
product returns and two disposal options, Eur. J. Oper. Res. 262 (2017) 499–508.
[12] S.M. Hoseini, Approximate solution of nonlinear optimal control problems with scale delay func-
tion via a composite pseudospectral approach, Int. J. Syst. Sci. 54 (2023) 2407–2422.
[13] P. Ignaciuk, Linear-quadratic optimal control of multi-modal distribution systems with imperfect
channels, Int. J. Prod. Res. 60 (2022) 5523–5538.
[14] C.-G. Jung, C.-H. Lee, M.-J. Tahk, Legendre pseudo-spectral method for missile trajectory opti-
mization with free final time, Lect. Notes Electr. Eng. 913 (2023) 569–581.
[15] Z. Li, F. Zhang, J. Zhou, Partial Newton-correction method for multiple fixed points of semi-
linear differential operators by Legendre-Gauss-Lobatto pseudospectral method, J. Sci. Comput.
97(2023) 32.
[16] L.J. Maccini, B. Moore, H. Schaller, Inventory behavior with permanent sales shocks, J. Econ.
Dyn. Control 53 (2015) 290-313.
[17] F. Olsson, Simple modeling techniques for base-stock inventory systems with state dependent de-
mand rates, Math. Methods Oper. Res. 90 (2019) 61–76.
[18] M. Ortega, L. Lin, Control theory applications to the production–inventory problem: a review, Int.
J. Prod. Res. 42 (2004) 2303–2322.
[19] A.V. Rao, A survey of numerical methods for optimal control, Adv. Astronaut. Sci. 135 (2009)
497-528.
[20] H.A. Simon, On the application of servomechanism theory in the study of production control,
Econometrica (1952) 247–268.
[21] L. Tu, Y. Wang, C. Yan, Y. Yang, Optimal transfer orbit design of spacecraft with finite thrust
based on Legendre pseudospectral method, Proc. Inst. Mech. Eng. G: J. Aerosp. Eng. 237 (2023)
1791–1797.
[22] J. Wikner, Dynamic Modelling and Analysis of Information Flows in Production-Inventory and
Supply Chain Systems, Profil (Link¨oping). Link¨oping, 1994.
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