BibTex RIS Kaynak Göster

Cost Varying Interval Transportation Problem under Two Vehicle

Yıl 2013, Cilt: 2 Sayı: 3, 19 - 37, 01.03.2013

Öz

–In this paper we represent a two-vehicle cost varying interval transportation model (TVCVITM). To determine thecost interval of cost parameters of interval transportation problem(ITP) we use two vehicle cost varying TP. In this model thetransportation cost varies due to capacity of vehicles as well asamount of transport quantity. At first we propose an algorithmto determine limits of the interval of unit transportation cost. Thisis an uncertain multi-level programming model. Then formulatecorresponding multi-objective crisp model. To solve this, applyfuzzy programming technique. A numerical example is presentedto illustrate the TVCVITM

Kaynakça

  • Arora, S. R. Ahuja, A. ‘A paradox in fixed charge transportation problem’, Indian Journal of Pure and Applied Mathematics, 31(7), 809-822, 2000.
  • Arora, S. R. and Khurana, A. ‘Three dimensional fixed charge bi-criterion indefi- nite quadratic transportation problem’, Yugoslav Journal of Operations Research, 14(1), 83-97, 2004.
  • Basu, M., Pal, B. B. and Kundu, A. ‘An algorithm for finding the optimum solution of solid fixed charge transportation problem’, Journal of Fuzzy Mathematics, 1(2), 367-376, 1993.
  • Bit, A. K., Biswal, M. P. and Alam, S. S. ‘Fuzzy programming technique for multi objective capacitated transportation problem’, Optimization, 31(3), 283-291. Dahiya, K. and Verma, V. ‘Capacitated transportation problem with bounds on rim conditions’, Europeon Journal of Operational Research, 178, 718-737, 2007.
  • Dantzig, G. B. Linear Programming and Extensions, Princeton University Press, Princeton, 1963.
  • Gupta, K. and Arora, S. R. ‘An algorithm to find optimum cost time trade off pairs in a fractional capacitated transportation problem with restricted flow’, In- ternational Journal Of Research In Social Sciences, 2(2 ), 418-436, 2012.
  • Gupta, K. and Arora, S. R. ‘Paradox in a fractional capacitated transportation problem’, International Journal Of Research In IT, Management and Engineering, 2(3), 43-64, 2012.
  • Haley, K. B. and Smith, A. J. ‘Transportation problems with additional restric- tions’, JSTOR, 15(2), 116-127, 1996.
  • Hirisch, W. M. and Dantzig ,G. B. ‘The fixed charge problem’, Naval Research Logistics Quarterly, 15(3) , 413-424, 1968.
  • Hitchcock, F. L. The distribution of a product from several sources to numerous localities, Journal of Mathematical Physics, 20, 224-230, 1941. Sandrock, K.
  • ‘A simple algorithm for solving small fixed charge transportation problem’, Journal of Operations Research Society, 39, 467-475, 1988.
  • Singh, P. and Saxena, P. K. ‘The multiobjective time transportation problem with additional restrictions’, 476, 2003.
  • European Journal of Operational Research, 146, 460- Taha, H. A. ‘Operation Research : an Introduction’, fifth ed., Macmillan, New York, 1992. Thirwani, D.
  • ‘A note on fixed charge bi-criterion transportation problem with enhanced flow’, 571, 1998.
  • Verma, R., Biswal, M. P. and Verma, A. B. ‘Fuzzy programming technique to solve multi-objective transportation problems with some non-linear functions, Sets and Systems, 91, 37-43, 1997. Fuzzy
  • Zimmermann, H.J. ‘Fuzzy programming and linearprogramming with several ob- jective functions’, Fuzzy Sets and Systems, 1, 45-55, 1978.
  • Zimmermann, H.J. ‘Fuzzy Set Theory and Its Applications’, fourth ed., Kluwer- Nijhoff, Boston, 2001.
Yıl 2013, Cilt: 2 Sayı: 3, 19 - 37, 01.03.2013

Öz

Kaynakça

  • Arora, S. R. Ahuja, A. ‘A paradox in fixed charge transportation problem’, Indian Journal of Pure and Applied Mathematics, 31(7), 809-822, 2000.
  • Arora, S. R. and Khurana, A. ‘Three dimensional fixed charge bi-criterion indefi- nite quadratic transportation problem’, Yugoslav Journal of Operations Research, 14(1), 83-97, 2004.
  • Basu, M., Pal, B. B. and Kundu, A. ‘An algorithm for finding the optimum solution of solid fixed charge transportation problem’, Journal of Fuzzy Mathematics, 1(2), 367-376, 1993.
  • Bit, A. K., Biswal, M. P. and Alam, S. S. ‘Fuzzy programming technique for multi objective capacitated transportation problem’, Optimization, 31(3), 283-291. Dahiya, K. and Verma, V. ‘Capacitated transportation problem with bounds on rim conditions’, Europeon Journal of Operational Research, 178, 718-737, 2007.
  • Dantzig, G. B. Linear Programming and Extensions, Princeton University Press, Princeton, 1963.
  • Gupta, K. and Arora, S. R. ‘An algorithm to find optimum cost time trade off pairs in a fractional capacitated transportation problem with restricted flow’, In- ternational Journal Of Research In Social Sciences, 2(2 ), 418-436, 2012.
  • Gupta, K. and Arora, S. R. ‘Paradox in a fractional capacitated transportation problem’, International Journal Of Research In IT, Management and Engineering, 2(3), 43-64, 2012.
  • Haley, K. B. and Smith, A. J. ‘Transportation problems with additional restric- tions’, JSTOR, 15(2), 116-127, 1996.
  • Hirisch, W. M. and Dantzig ,G. B. ‘The fixed charge problem’, Naval Research Logistics Quarterly, 15(3) , 413-424, 1968.
  • Hitchcock, F. L. The distribution of a product from several sources to numerous localities, Journal of Mathematical Physics, 20, 224-230, 1941. Sandrock, K.
  • ‘A simple algorithm for solving small fixed charge transportation problem’, Journal of Operations Research Society, 39, 467-475, 1988.
  • Singh, P. and Saxena, P. K. ‘The multiobjective time transportation problem with additional restrictions’, 476, 2003.
  • European Journal of Operational Research, 146, 460- Taha, H. A. ‘Operation Research : an Introduction’, fifth ed., Macmillan, New York, 1992. Thirwani, D.
  • ‘A note on fixed charge bi-criterion transportation problem with enhanced flow’, 571, 1998.
  • Verma, R., Biswal, M. P. and Verma, A. B. ‘Fuzzy programming technique to solve multi-objective transportation problems with some non-linear functions, Sets and Systems, 91, 37-43, 1997. Fuzzy
  • Zimmermann, H.J. ‘Fuzzy programming and linearprogramming with several ob- jective functions’, Fuzzy Sets and Systems, 1, 45-55, 1978.
  • Zimmermann, H.J. ‘Fuzzy Set Theory and Its Applications’, fourth ed., Kluwer- Nijhoff, Boston, 2001.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Arpita Panda Bu kişi benim

Chandan Bikash Dasb Bu kişi benim

Yayımlanma Tarihi 1 Mart 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 2 Sayı: 3

Kaynak Göster

APA Panda, A., & Dasb, C. B. (2013). Cost Varying Interval Transportation Problem under Two Vehicle. Journal of New Results in Science, 2(3), 19-37.
AMA Panda A, Dasb CB. Cost Varying Interval Transportation Problem under Two Vehicle. JNRS. Mart 2013;2(3):19-37.
Chicago Panda, Arpita, ve Chandan Bikash Dasb. “Cost Varying Interval Transportation Problem under Two Vehicle”. Journal of New Results in Science 2, sy. 3 (Mart 2013): 19-37.
EndNote Panda A, Dasb CB (01 Mart 2013) Cost Varying Interval Transportation Problem under Two Vehicle. Journal of New Results in Science 2 3 19–37.
IEEE A. Panda ve C. B. Dasb, “Cost Varying Interval Transportation Problem under Two Vehicle”, JNRS, c. 2, sy. 3, ss. 19–37, 2013.
ISNAD Panda, Arpita - Dasb, Chandan Bikash. “Cost Varying Interval Transportation Problem under Two Vehicle”. Journal of New Results in Science 2/3 (Mart 2013), 19-37.
JAMA Panda A, Dasb CB. Cost Varying Interval Transportation Problem under Two Vehicle. JNRS. 2013;2:19–37.
MLA Panda, Arpita ve Chandan Bikash Dasb. “Cost Varying Interval Transportation Problem under Two Vehicle”. Journal of New Results in Science, c. 2, sy. 3, 2013, ss. 19-37.
Vancouver Panda A, Dasb CB. Cost Varying Interval Transportation Problem under Two Vehicle. JNRS. 2013;2(3):19-37.


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