Fuzzy E.O.Q model with constant demand and shortages: A fuzzy signomial geometric programming (FSGP) approach

• Autores: Wasim Akram Mandal, Sahidul Islam
• Localización: Independent Journal of Management & Production, ISSN-e 2236-269X, Vol. 8, Nº. 4, 2017 (Ejemplar dedicado a: Independent Journal of Management & Production), págs. 1191-1209
• Idioma: inglés
• DOI: 10.14807/ijmp.v8i4.640
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• Dialnet Métricas: 1 Cita
• Resumen

  • In this paper, a fuzzy economic order quantity (E.O.Q) model with shortages under fully backlogging and constant demand is formulated and solved. Here the model is solved by fuzzy signomial geometric programming (FSGP) technique. Fuzzy signomial geometric programming (FSGP) technique provides a powerful technique for solving many non-linear problems. Here we have proposed a new idea that is fuzzy modified signomial geometric programming (FMSGP) and some necessary theorems have been derived. Finally, these are illustrated by some numerical examples and applications.

• Referencias bibliográficas
  • APPADOO, S. S.; BECTOR, C. R.; BHATT, S. K. (2012) Fuzzy EOQ model using possibilistic approach, Journal of Advances in Management Research,...
  • BELLMAN, R. E.; ZADEH (1970). Decision making in a fuzzy environment, Management Science, v. 17, p. B141-B164.
  • BLAU, G.; WILDE, D. J. (1967) Second Order Characterization of Generalized Polynomial Programs, Princeton International Symp. Math. Programming.
  • CARLSSON, C.; FULLER, R. (2001) On Possibilistic Mean Value and Variance of Fuzzy Numbers. Fuzzy Sets and Systems, n. 122, p. 315-326.
  • CARLSSON, C.; FULLER, R. (2002) Fuzzy Reasoning in Decision Making and Optimization, Physics-Verlag.
  • CHARNES, A.; COPPER, W. W.; GOLANY, B.; MASRERS, J. (1988) Optimal dwsine modification by geometric programming and constrained stochastic...
  • CLARK, A. J. (1992). An informal survey of multy-echelon inventory theory, Naval Research Logistics Quarterly, n. 19, p. 621-650.
  • DUTTA, D.; KUMAR, P. (2012). Fuzzy inventory without shortages using trapezoidal fuzzy number with sensitivity analysis, IOSR Journal of Mathematics,...
  • DUTTA, D.; RAO, J. R.; TIWARY R. N. (1993) Effect of tolerance in fuzzy linear fractional programming, Fuzzy Sets and Systems, n. 55, p. 133-142.
  • HAMACHER, LEBERLING, H.; ZIMMERMANN, H. J. (1978). Sensitivity Analysis in fuzzy linear Programming Fuzzy Sets and Systems, n. 1, p. 269-281
  • HARRIS, FORD W. (1990) How Many Parts to Make at Once. Operations Research, v. 8, n. 6, p. 947.
  • ISLAM, S.; ROY, T. K. (2006). A fuzzy EPQ model with flexibility and reliability consideration and demand depended unit Production cost under...
  • ISLAM, S.; ROY, T. K. (2010). Multi-Objective Geometric-Programming Problem and its Application. Yugoslav Journal of Operations Research,...
  • KOTB A. M.; HLAA. A.; FERGANCY (2011). Multi-item EOQ model with both demand-depended unit costand varying Leadtime via Geometric Programming,...
  • KHUN, H. W.; TUCKER A. W. (1951). Non-linear programming, proceeding second Berkeley symposium Mathematical Statistic and probability (ed)...
  • LIANG, Y.; ZHOU, F. (2011), A two warehouse inventory model for deteriorating items under conditionally permissible delay in Payment, Applied...
  • LIU, S. T. (2006). Posynomial Geometric-Programming with interval exponents and co-efficients, Europian Journal of Operations Research, v....
  • MAITY, M. K. (2008). Fuzzy inventory model with two ware house under possibility measure in fuzzy goal, European Journal Operation Research,...
  • MANDAL, W. A.; ISLAM, S. (2016). Fuzzy Inventory Model for Deteriorating Items, with Time Depended Demand, Shortages, and Fully Backlogging,...
  • MANDAL, W. A.; ISLAM, S. (2015). Fuzzy Inventory Model for Power Demand Pattern with Shortages, Inflation Under Permissible Delay in Payment,...
  • MANDAL, W. A.; ISLAM, S. (2015). Fuzzy Inventory Model for Weibull Deteriorating Items, with Time Depended Demand, Shortages, and Partially...
  • MANDAL, W. A.; ISLAM, S. (2016). A Fuzzy E.O.Q Model with Cost of Interest, Time Depended Holding Cost, With-out Shortages under a Space Constraint:...
  • PASSY, U.; WILDE, D. J. (1967) Generalized Polynomial Optimization, SIAM Jour. Appli. Math., n. 15, p. 1344-1356.
  • PASSY, U.; WILDE, D. J. (1968) A Geometric Programming Algorithm for Solving Chemical Equilibrium Problems, SIAM Jour. Appli. Math., n. 16,...
  • ROY, T. K.; MAYTY, M. (1995). A fuzzy inventory model with constraints, Opsearch, v. 32, n. 4, p. 287-298.
  • ZADEH, L. A. (1965), Fuzzy sets, Information and Control, n. 8, p. 338-353.
  • ZIMMERMANN, H. J. (1985) Application of fuzzy set theory to mathematical programming, Information Science, n. 36, p. 29-58.
  • ZIMMERMANN, H. J. (1992) Methods and applications of Fuzzy Mathematical programming, In: YAGER, R. R.; ADEH, L. A. Z. (eds), An introduction...