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Home market effect versus multinationals

  • TOULEMONDE, Eric

In this paper, based on the cyclic scheduling formulation of Schilling and Pantelides [22], we propose a continuous time mixed integer linear programming (MILP) formulation for the cyclic scheduling of a mixed plant, i.e. a plant composed of batch and continuous tasks. The cycle duration is a variable of the model and the objective is to maximize productivity. By using strengthening techniques and the analysis of small polytopes related to the problem formulation, we strengthen the initial formulation by tightening some initial constraints and by adding valid inequalities. We show that this strengthened formulation is able to solve moderate size problems quicker than the initial one. However, for real size cases, it remains difficult to obtain the optimal solution of the scheduling problem quickly. Therefore, we introduce MILP-based heuristic methods in order to solve these larger instances, and show that they can provide quite good feasible solutions quickly.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2007046.

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Date of creation: 01 Jul 2007
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Handle: RePEc:cor:louvco:2007046
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  1. Picard, Pierre M. & Thisse, Jacques-Francois & Toulemonde, Eric, 2004. "Economic geography and the distribution of profits," Journal of Urban Economics, Elsevier, vol. 56(1), pages 144-167, July.
  2. Kind, H.J. & Knarvik, K.H.M. & Schjelderup, G., 1999. "Competing for Capital in a "Lumpy" World," Papers 7/99, Norwegian School of Economics and Business Administration-.
  3. Ludema, Rodney D. & Wooton, Ian, 2000. "Economic geography and the fiscal effects of regional integration," Journal of International Economics, Elsevier, vol. 52(2), pages 331-357, December.
  4. Head, Keith & Mayer, Thierry & Ries, John, 2002. "On the Pervasiveness of Home Market Effects," CEPR Discussion Papers 3454, C.E.P.R. Discussion Papers.
  5. Ottaviano, Gianmarco & Thisse, Jacques-Francois, 2004. "Agglomeration and economic geography," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 58, pages 2563-2608 Elsevier.
  6. Raybaudi-Massilia, Marzia, 2000. "Economic Geography and Multinational Enterprise," Review of International Economics, Wiley Blackwell, vol. 8(1), pages 1-19, February.
  7. Rikard Forslid & Gianmarco I.P. Ottaviano, 2003. "An analytically solvable core-periphery model," Journal of Economic Geography, Oxford University Press, vol. 3(3), pages 229-240, July.
  8. Markusen, James R. & Venables, Anthony J., 2000. "The theory of endowment, intra-industry and multi-national trade," Journal of International Economics, Elsevier, vol. 52(2), pages 209-234, December.
  9. K Behrens & P M Picard, 2005. "Tax Competition, Location, and Horizontal Foreign Direct Investment," The School of Economics Discussion Paper Series 0517, Economics, The University of Manchester.
  10. Baldwin, Richard & Krugman, Paul, 2000. "Agglomeration, Integration and Tax Harmonization," CEPR Discussion Papers 2630, C.E.P.R. Discussion Papers.
  11. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
  12. Martin, Philippe & Rogers, Carol Ann, 1995. "Industrial location and public infrastructure," Journal of International Economics, Elsevier, vol. 39(3-4), pages 335-351, November.
  13. Brainard, S Lael, 1997. "An Empirical Assessment of the Proximity-Concentration Trade-off between Multinational Sales and Trade," American Economic Review, American Economic Association, vol. 87(4), pages 520-44, September.
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