More-for-Less Paradox in Time Minimization Transportation Problem with Mixed Constraints

References

• Agarwal, S., & Sharma, S. (2014). An open loop method for time minimizing transportation problem with mixed constraints [Paper presentation]. Proceedings of APMSCSET, 83–89.
   Google Scholar
• Agarwal, S., & Sharma, S. (2018). A minimax method for time minimizing transportation problem with mixed constraints. International Journal of Computer & Mathematical Sciences, 7(3), 1–6.
   Google Scholar
• Agarwal, S., & Sharma, S. (2020). A shootout method for time minimizing transportation problem with mixed constraints. American Journal of Mathematical and Management Sciences, 39(4), 299–314. https://doi.org/10.1080/01966324.2020.1730274
   Google Scholar
• Appa, G. M. (1973). The transportation problem and its variants. Operational Research Quarterly (1970–1977), 24(1), 79–99. https://doi.org/10.2307/3008037
   Google Scholar
• Arsham, H. (1992). Postoptimality analyses of the transportation problem. The Journal of the Operational Research Society, 43(2), 121–139. https://doi.org/10.2307/2583357
   Web of Science ®Google Scholar
• Arsham, H., & Oblak, M. (1990). Perturbation analysis of general lp models: A unified approach to sensitivity, parametric, tolerance, and more-for-less analysis. Mathematical and Computer Modelling, 13(8), 79–102. https://doi.org/10.1016/0895-7177(90)90073-V
   Web of Science ®Google Scholar
• Bansal, S., & Puri, M. C. (1980). A min-max problem. Zeitschrift Für Operations Research, 24(5), 191–200. https://doi.org/10.1007/BF01919246
   Google Scholar
• Bhatia, H. L., Swarup, K., & Puri, M. C. (1977). A procedure for time minimization transportation problem. Indian Journal of Pure and Applied Mathematics, 8(8), 920–929.
   Google Scholar
• Brigden, M. E. B. (1974). A varient of the transportation problem in which the constraints are of mixed type. Journal of the Operational Research Society, 25(3), 437–445. https://doi.org/10.1057/jors.1974.77
   Google Scholar
• Charnes, A., & Klingman, D. (1971). The ‘more-for-less’ paradox in distribution models. Cahiers du Centre D’Etudes Recherche Operationnelle, 13, 11–22.
   Google Scholar
• Garfinkel, R. S., & Rao, M. R. (1971). The bottleneck transportation problem. Naval Research Logistics Quarterly, 18(4), 465–472. https://doi.org/10.1002/nav.3800180404
   Google Scholar
• Gupta, K., & Arora, R. (2019). Optimum cost-time trade-off pairs in a fractional plus fractional capacitated transportation problem with restricted flow. Revista Investigación Operacional, 40 (1), 46–60. https://link.gale.com/apps/doc/A612476080/AONE?u=anon∼43df48b7&sid=googleScholar&xid=8ce25b9f.
   Google Scholar
• Hadley, G. (1962). Linear programming. Addison-Wesley Publishing Company.
   Google Scholar
• Hammer, P. L. (1969). Time minimizing transportation problems. Naval Research Logistics Quarterly, 16(3), 345–357. https://doi.org/10.1002/nav.3800160307
   Google Scholar
• Hammer, P. L. (1971). Communication on the bottleneck transportation problem and some remarks on the time transportation problem. Naval Research Logistics Quarterly, 18(4), 487–490. https://doi.org/10.1002/nav.3800180406
   Google Scholar
• Hitchcock, F. L. (1941). The distribution of a product from several sources to numerous localities. Journal of Mathematics and Physics, 20(1-4), 224–230. https://doi.org/10.1002/sapm1941201224
   Google Scholar
• Klingman, D., & Russel, R. (1974). The transportation problem with mixed constraints. Operational Research Quarterly (1970–1977), 25(3), 447–455. https://doi.org/10.2307/3007931
   Google Scholar
• Mehlawat, M. K., Kannan, D., Gupta, P., & Aggarwal, U. (2019). Sustainable transportation planning for a three-stage fixed charge multi-objective transportation problem. Annals of Operations Research. https://doi.org/10.1007/s10479-019-03451-4
   Google Scholar
• Nocedal, J., & Wright, S. J. (2006). Numerical optimization. Springer. https://doi.org/10.1007/978-0-387-40065-5.
   Google Scholar
• Robb, D. J. (1990). The more-for-less paradox in distribution models: An intuitive explanation. IIE Transactions, 22(4), 377–378. https://doi.org/10.1080/07408179008964192
   Web of Science ®Google Scholar
• Roy, S. K., Maity, G., Weber, G. W., & Gok, S. Z. A. (2017). Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal. Annals of Operations Research, 253(1), 599–620. https://doi.org/10.1007/s10479-016-2283-4
   Web of Science ®Google Scholar
• Singh, S., & Singh, S. (2018). Bi-criteria transportation problem with multiple parameters. Annals of Operations Research, 269(1-2), 667–692. https://doi.org/10.1007/s10479-018-2825-z
   Web of Science ®Google Scholar
• Szwarc, W. (1971a). The transportation paradox. Naval Research Logistics Quarterly, 18(2), 185–202. https://doi.org/10.1002/nav.3800180206
   Google Scholar
• Szwarc, W. (1971b). Some remarks on the time transportation problem. Naval Research Logistics Quarterly, 18(4), 473–485. https://doi.org/10.1002/nav.3800180405
   Google Scholar