This study uses a simulation-based approach to investigate the impact of delivery delays due to constraints on transport capacity, transit speed, and routing efficiencies on an economy with various levels of interdependency among firms. The simulation uses object-oriented programming to create specialized production, consumption, and transportation classes. A set of objects from each class is distributed randomly on a 2D plane. A road network is then established between fixed objects using Prim’s MST (Minimum Spanning Tree) algorithm, followed by construction of an all-pair shortest path matrix using the Floyd Warshall algorithm. A genetic algorithm-based vehicle routing problem solver employs the all-pair shortest path matrix to best plan multiple pickup and delivery orders. Production units utilize economic order quantities (EOQ) and reorder points (ROP) to manage inventory levels. Hicksian and Marshallian demand functions are utilized by consumption units to maximize personal utility. The transport capacity, transit speed, routing efficiency, and level of interdependence serve as 4 factors in the simulation, each assigned 3 distinct levels. Federov’s exchange algorithm is used to generate an orthogonal array to reduce the number of combination replays from 34 to just 9. The simulation results of a 9-run orthogonal array on an economy with 6 mining facilities, 12 industries, 8 market centers, and 8 transport hubs show that the level of firm interdependence, followed by transit speed, has the most significant impact on economic productivity. The principal component analysis (PCA) indicates that interdependence and transit speed can explain 90.27% of the variance in the data. According to the findings of this research, a dependable and efficient regional transportation network among various types of industries is critical for regional economic development.
References
[1]
Keaton, W. (2022) Economy: What It Is, Types of Economics, Economic Indicators. Investopedia. https://www.investopedia.com/terms/e/economy.asp
[2]
Hewings, G.J. (1985) Regional Input-Output Analysis. Reprint. Edited by Grant Ian Thrall. WYU Research Repository, 2020.
[3]
Meshram, P., Pandey, B.D. and Mankhand, T.R. (2014) Extraction of Lithium from Primary and Secondary Sources by Pre-Treatment, Leaching and Separation: A Comprehensive Review. Hydrometallurgy, 150, 192-208. https://doi.org/10.1016/j.hydromet.2014.10.012
[4]
Queiroz, C. and Gautam, S. (1992) Road Infrastructure and Economic Development: Some Diagnostic Indicators. World Bank, Washington DC.
[5]
(2011) World’s Most Dangerous Roads. Renegade Pictures. https://www.imdb.com/title/tt2078521/
[6]
The World Bank (2022) International LPI. The World Bank, 2018. https://lpi.worldbank.org/international/global
[7]
Bank, T.W. (2021) World Development Indicators (WDI), GNI per Capita, PPP. https://data.un.org/Data.aspx?d=WDI&f=Indicator_Code%3ANY.GNP.PCAP.PP.CD
[8]
Organisation for Economic Co-operation and Development (2022) Freight Transport. https://data.oecd.org/transport/freight-transport.htm
[9]
Kunaka, C., Raballand, G. and Fitzmaurice, M. (2016) How Trucking Services Have Improved and May Contribute to Economic Development. The Case of East Africa. In: Newfarmer, R., Page, J. and Tarp, F., Eds., Industries without Smokestacks: Industrialization in Africa Reconsidered, The United Nations University World Institute for Development Economics Research (UNU-WIDER), Helsinki, 133-150. https://doi.org/10.1093/oso/9780198821885.003.0007
[10]
Sedgewick, R. (2017) Object-Oriented Programming. In: Sedgewick, R. and Wayne, K., Eds., Computer Science: An Interdisciplinary Approach, Pearson Education, Inc., Crawfordsville, 329-478.
[11]
Silberberg, E. (1990) The Structure of Economics: A Mathemetical Analysis. 2nd Edition, McGraw-Hill Companies, New York.
[12]
Gross, D., Shortle, J.F., Thompson, J.M. and Harris, C.M. (2008) Fundamentals of Queuing Theory. 4th Edition, Wiley-Interscience, Delhi.
[13]
Lloyd-Smith, P. (2018) A New Approach to Calculating Welfare Measures in Kuhn-Tucker Demand Models. Journal of Choice Modelling, 26, 19-27. https://doi.org/10.1016/j.jocm.2017.12.002
[14]
Timms, H.L. (1962) The Production Functions in Business, Fundamentals and Analysis for Management. Richard D. Irwin, Inc., Illinois.
[15]
Benassy, J.P. (2007) IS-LM and the Multiplier: A Dynamic General Equilibrium Model. Economic Letters, 96, 189-195. https://doi.org/10.1016/j.econlet.2006.12.028
[16]
Fanti, L. and Manfredi, P. (2007) Chaotic Business Cycles and Fiscal Policy: An IS-LM Model with Distributed Tax Collection Lags. Chaos, Solitions & Fractals, 32, 736-744. https://doi.org/10.1016/j.chaos.2005.11.024
[17]
Valdovinos, C.G.F. (2003) Inflation and Economic Growth in Long Run. Economic Letters, 80, 167-173. https://doi.org/10.1016/S0165-1765(03)00085-5
[18]
García, C.J. and Mejía, J. (2018) Macroeconomic Stabilization of Primary Commodities Price Cycles in Developing Economies. Journal of Policy Modeling, 40, 1050-1066. https://doi.org/10.1016/j.jpolmod.2018.07.004
[19]
Nagatani, T. and Helbing, D. (2004) Stability Analysis and Stabilization Strategies for Linear Supply Chains. Physica A: Statistical Mechanics and Its Applications, 335, 644-660. https://doi.org/10.1016/j.physa.2003.12.020
[20]
Rahnev, A., Pavlov, N., Valchanov, N. and Terzieva, T. (2014) Introduction to Object-Oriented Programming. Lighting Source UK Ltd.
[21]
Martel, C. (2002) The Expected Complexity of Prim’s Minimum Spanning Tree Algorithm. Information Processing Letters, 81, 197-201. https://doi.org/10.1016/S0020-0190(01)00220-4
[22]
Hougardy, S. (2010) The Floyd-Warshall Algorithm on Graphs with Negative Cycles. Information Processing Letter, 110, 279-281. https://doi.org/10.1016/j.ipl.2010.02.001
[23]
Shephard, R.W. (2015) Theory of Cost and Production Functions. Princeton University Press, Princeton.
[24]
David, S.W. and Heathfield, F. (1987) An Introduction to Cost and Production Functions. Humanities Press International, Atlantic Highlands. https://doi.org/10.1007/978-1-349-18721-8
[25]
Senthilnathan, S. (October 24, 2019) Economic Order Quantity (EOQ). https://ssrn.com/abstract=3475239 https://doi.org/10.2139/ssrn.3475239
[26]
Shekarian, E., Kazemi, N., Abdul-Rashid, S.H. and Olugu, E.U. (2017) Fuzzy Inventory Models: A Comprehensive Review. Applied Soft Computing, 55, 588-621. https://doi.org/10.1016/j.asoc.2017.01.013
[27]
Subramanian, A., Drummond, L.M.A., Bentes, C., Ochi, L.S. and Farias, R. (2010) A Parallel Heuristic for the Vehicle Routing Problem with Simultaneous Pickup and Delivery. Computers & Operations Research, 37, 1899-1911. https://doi.org/10.1016/j.cor.2009.10.011
[28]
Baker, B.M. and Ayechew, M.A. (2003) A Genetic Algorithm for the Vehicle Routing Problem. Computers & Operations Research, 30, 787-800. https://doi.org/10.1016/S0305-0548(02)00051-5
[29]
Shiffman, D. (2012). The Nature of Code: Simulating Natural Systems with Processing. The Nature of Code 1st ed.
[30]
Lawson, J. (2015) Mixed Level Factorials and Orthogonal Arrays (OAs). In: Lawson, J., Ed., Design and Analysis of Experiments with R, Taylor & Francis Group, Boca Raton, 242-248.
[31]
Lum, S.K.S., Moyer, B.C. and Yuskavage, R.E. (2000) Improved Estimates of Gross Product by Industry for 1947-1998. Bureau of Economic Analysis, US Department of Commerce.
[32]
Witten, D., James, G.M., Hastie, T. and Tibsilani, R. (2013) Principal Component Analysis. In: Witten, D., James, G.M., Hastie, T. and Tibsilani, R., Eds., An Introduction to Statistical Learning with Applications in R, Springer, New York, 374-413.
