Mathematical Modeling for Launch Vessel Operators at Internal Waterways Transportation in Bangladesh
##plugins.themes.bootstrap3.article.sidebar##
##plugins.themes.bootstrap3.article.main##
Abstract
Launch based water vessel transportation has been growing in Bangladesh as an easier and cheaper transportation system. The shipping liners are introducing more launches in different routes as the growing demands of passengers in spite of having much difficulties with respect to uncertainty. However, this trade sector is facing imbalance in terms of profits in several service categories but they have to fight with uncertainties, a common issue faced by the liner operators. In this paper, we develop a mathematical model for the launch vessel operators to compare the profit considering different scenarios which give a broad idea about meeting the customer's demand over time, and maximize their profit by considering different stochastic parameters. It is necessary to make decision about building launches as per demand categories, and also to maximize the profit. We show how scenario-based stochastic optimization could be applied in this perspective and discuss some solving lechniques with modification as required. Finally, we conduct a numerical case study to evaluate the value of the stochastic scenario-based model over uncertain issues according to the model.
##plugins.themes.bootstrap3.article.details##
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
REFERENCES
[l] Birge, John R. and Francois Louveaux. Introduction to stochastic programming. Springer Science & Business Media, 2011.
Chakroborty, Sajal, and M. Babul Hasan. "A proposed technique for solving scenario based multi-period stochastic optimization problems with a computer application." Int. J. Math. Sci. Comput. (IJMSC) 2.4 (2016): 12-23.
Cheung, Raymond K. , and Chuen-Yih Chen. "A two-stage stochastic network model and solution methods for the dynamic empty container allocation problem." Transportation Science 32.2 (1998): 142-162.
Van Slyke, Richard M. , and Roger Wets. "Lshaped linear programs with applications to optimal control and stochastic programming. " SIAM Journal on Applied Mathematics 17.4 (1969): 638-663.
Benders, Jacques F. "Partitioning procedures for solving mixed-variables programming problems." Numerische Mathematik 4.1 (1962): 238-252.
Dantzig, George B. , and Philip Wolfe. "The decomposition algorithm for linear programs. " Econometrica: Journal of the Econometric Society (1961): 767-778.
Powell, Warren B. "A stochastic model of the dynamic vehicle allocation problem." Transportation Science 20.2 (1986): 117-129.
Ermoliev, Yu M., and RJ-B. Wets. Numerical techniques for stochastic optimization. SpringerVerlag, 1988
Rockafellar, R. Tyrrell, and Roger J-B. Wets. "Scenarios and policy aggregation in optimization under uncertainty. " Mathematics of operations research 16.1 (1991): 119-147.
Nazareth, J. L., and RJ-B. Wets. "Nonlinear programming techniques applied to stochastic programs with recourse." (1985).
1] Ahmed, Hashnayne. "Formulation of TwoStage Stochastic Programming with Fixed Recourse. " Britain International Q/Exact Sciences (BloEx) Journal 1.1 (2019): 18-21.
Shapiro, Alexander, Darinka Dentcheva, and Andrzej Ruszczyóski. Lectures on stochastic programming: modeling and theory. Society for Industrial and Applied Mathematics, 2009.
Kall, Peter, Stein W. Wallace, and Peter Kall. Stochastic programming. Chichester: Wiley, 1994.
Mamer, John W., and Richard D. McBride. "A decomposition-based pricing procedure for largescale linear programs: an application to the linear multicommodity flow problem. " Management Science 46.5 (2000): 693-709.
Dupaèová, Jitka, Giorgio Consigli, and Stein W. Wallace. "Scenarios for multistage stochastic programs. " Annals ofoperations research 100. I -4 (2000): 25-53.
Marcus, Allan H. "Stochastic coalescence." Technometrics 10.1 (1968): 133143.
Mani, K. , and M. Viswambari. "A new method of generating optimal addition chain based on the graph. " International Journal of Mathematical Sciences and Computing 3.2 (2017): 37-54.
Escudero, Laureano F., et al. "The value of the stochastic solution in multistage problems." Top 15.1 (2007): 48-64.
Kahn, Herman, and Anthony J. Wiener. "the year 2000; a framework for speculation on the next thirty-three years." (1967).
Das, H. K. , and Sajal Chakroborty. "Analyzing the decomposition-based pricing procedure for solving two people zero-sum game problems through computer algebra." International Journal of Computer Applications 156.12 (2016).
Mulvey, John M. , and Andrzej Ruszczyfiski. "A new scenario decomposition method for largescale stochastic optimization." Operations research 43.3 (1995): 477-490.
Infanger, Gerd. Planning under uncertainty solving large-scale stochastic linear programs. No. SOL-92-8. Stanford Univ., CA (United States). Systems Optimization Lab. , 1992.
Awal, Zobair Ibn. "A study on inland water transport accidents in Bangladesh: the experience of a decade (1995-2005)." Proceedings of the International Conference on Coastal Ships & Inland Waterways. Vol. 2. 2006.
Sakalayen, Qazi Mohammed Habibus. "Nonconventional ferry safety and the potentiality of inland waterways for multimodal transportation: a comparative analysis for the betterment of Bangladesh's situation." (2006).
Shamannay, Unnayan. "Expanding Tradable Benefits of Inland Waterways Case of Bangladesh. " (2017).
Uddin, Md Imran, et al. "Inland Water Transport Accidents: The Case of Bangladesh. " Global Science and Technology Journal 5.1 (2017): 56-65.
Mishra, Dinesh Kumar, and Syed Monowar Hussain. Situation Analysis on Inland Navigation. International Union for Conservation of Nature and Natural Resources, 2012.
Uddin, Md Imran, and Zobair Ibn Awal. " Systems-theoretic approach to the safety of inland passenger ship operation In Bangladesh." safety science 126 (2020): 104629.
Pandey, Punam. "Water Management in Bangladesh: Policy Interventions." Water Issues in Himalayan South Asia. Palgrave Macmillan, Singapore, 2020. 29-50.
Ambrosio, Natalie, et al. "Addressing Climate
Risk in Financial Decision Making." Optimizing Community Infrastructure. ButterworthHeinemann, 2020. 123-142.
1] Escudero, Laureano F. , et al. "The value of the stochastic solution In multistage problems." Top 15.1 (2007): 48-64.
Römisch, Werner. "Stability of stochastic programming problems." Handbooks in operations research and management science 10 (2003): 483-554.
Tonini, Davide, Lorie Hamelin, and Thomas F. Astrup. "Environmental implications of the use of agro-industrial residues for biorefineries: application of a deterministic
