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Original Articles

Global optimisation for a developed price discrimination model: A signomial geometric programming-based approach

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Pages 612-627 | Received 06 Mar 2019, Accepted 25 Sep 2019, Published online: 24 Mar 2020

References

  • Abuo-El-Ata, M. O., Fergany, H. A., & El-Wakeel, M. F. (2003). Probabilistic multi-item inventory model with varying order cost under two restrictions: A geometric programming approach. International Journal of Production Economics, 83(3), 223–231. doi:10.1016/S0925-5273(02)00327-4
  • Aliabadi, L., Heidari, R., Yazdanparast, R., & Jolia, F. (2017). An EOQ model with holding-ordering cost reduction and partial delay in payment under credit period-dependent demand: A reversed constraint programming. 13th International Conference on Industrial Engineering (IIEC 2017), Mazandaran, Iran.
  • Aliabadi, L., Yazdanparast, R., & Nasiri, M. M. (2019). An inventory model for non-instantaneous deteriorating items with credit period and carbon emission sensitive demand: a signomial geometric programming approach. International Journal of Management Science and Engineering Management, 14(2), 124–136. doi:10.1080/17509653.2018.1504331
  • Boyd, S., Kim, S. J., Vandenberghe, L., & Hassibi, A. (2007). A tutorial on geometric programming. Optimization and Engineering, 8(1), 67–127. doi:10.1007/s11081-007-9001-7
  • Boyd, S., & Michael, G. (2009). MATLAB software for disciplined convex programming. Retrieved from http://cvxrcom/cvx/
  • Chen, C. K. (2000). Optimal determination of quality level, selling quantity and purchasing price for intermediate firms. Production Planning & Control, 11(7), 706–712. doi:10.1080/095372800432179
  • Cheng, T. C. E. (1989). An economic order quantity model with demand dependent unit cost. European Journal of Operational Research, 40(2), 252–256. doi:10.1016/0377-2217(89)90334-2
  • Cheng, T. C. E. (1991). An economic order quantity model with demand-dependent unit production cost and imperfect production processes. IIE Transactions, 23(1), 23–28. doi:10.1080/07408179108963838
  • Drezner, Z., Gurnani, H., & Pasternack, B. A. (1995). An EOQ model with substitutions between products. The Journal of the Operational Research Society, 46(7), 887–891. doi:10.2307/2583971
  • Fathian, M., Sadjadi, S. J., & Sajadi, S. (2009). Optimal pricing model for electronic products. Computers & Industrial Engineering, 56(1), 255–259. doi:10.1016/j.cie.2008.05.013
  • Ghazi Nezami, F., Sadjadi, S. J., & AryaNezhad, M. B. (2009). A geometric programming approach for a nonlinear joint production-marketing problem. IEEE International Association of Computer Science and Information Technology-Spring Conference, 2009 (IACSITSC’09), Singapore, April 17–20 (pp. 308–312).
  • Ghosh, P., & Roy, T. K. (2013). A goal geometric programming problem (G 2 P 2) with logarithmic deviational variables and its applications on two industrial problems. Journal of Industrial Engineering International, 9(1), 1–9. doi:10.1186/2251-712X-9-5
  • Grant, M. C., & Boyd, S. P. (2011). CVX Research, Inc. CVX: MATLAB software for disciplined convex programming. Retrieved from cvxr.com/cvx
  • Islam, S. (2008). Multi-objective marketing planning inventory model: A geometric programming approach. Applied Mathematics and Computation, 205(1), 238–246. doi:10.1016/j.amc.2008.07.037
  • Jabbarzadeh, A., Aliabadi, L., & Yazdanparast, R. (2019). Optimal payment time and replenishment decisions for retailer’s inventory system under trade credit and carbon emission constraints. Operational Research, 1–32. doi:10.1007/s12351-019-00457-5
  • Jaber, M. Y. (2006). Lot sizing for an imperfect production process with quality corrective interruptions and improvements, and reduction in setups. Computers & Industrial Engineering, 51(4), 781–790. doi:10.1016/j.cie.2006.09.001
  • Jung, H., & Klein, C. M. (2001). Optimal inventory policies under decreasing cost functions via geometric programming. European Journal of Operational Research, 132(3), 628–642. doi:10.1016/S0377-2217(00)00168-5
  • Jung, H., & Klein, C. M. (2006). Optimal inventory policies for profit maximizing EOQ models under various cost functions. European Journal of Operational Research, 174(2), 689–75. doi:10.1016/j.ejor.2004.06.041
  • Khan, M., Jaber, M. Y., & Bonney, M. (2011). An economic order quantity (EOQ) for items with imperfect quality and inspection errors. International Journal of Production Economics, 133(1), 113–118. doi:10.1016/j.ijpe.2010.01.023
  • Kim, D., & Lee, W. J. (1998). Optimal joint pricing and lot sizing with fixed and variable capacity. European Journal of Operational Research, 109(1), 212–227. doi:10.1016/S0377-2217(97)00100-8
  • Kochenberger, G. A. (1971). Inventory models: Optimization by geometric programming. Decision Sciences, 2(2), 193–205. doi:10.1111/j.1540-5915.1971.tb01454.x
  • Kotb, K. A., & Fergany, H. A. (2011). Multi-item EOQ model with both demand-dependent unit cost and varying leading time via geometric programming. Applied Mathematics, 2(5), 551–555. doi:10.4236/am.2011.25072
  • Lee, W. J. (1993). Determining order quantity and selling price by geometric programming: Optimal solution, bounds, and sensitivity. Decision Sciences, 24(1), 76–87. doi:10.1111/j.1540-5915.1993.tb00463.x
  • Lee, W. J., Kim, D., & Cabot, A. V. (1996). Optimal demand rate, lot sizing, and process reliability improvement decisions. IIE Transactions, 28(11), 941–952. doi:10.1080/15458830.1996.11770747
  • Leung, K. N. F. (2007). A generalized geometric-programming solution to “An economic production quantity model with flexibility and reliability considerations”. European Journal of Operational Research, 176(1), 240–251. doi:10.1016/j.ejor.2005.06.049
  • Liu, S. T. (2006). Computational method for the profit bounds of inventory model with interval demand and unit cost. Applied Mathematics and Computation, 183(1), 499–507. doi:10.1016/j.amc.2006.05.080
  • Mandal, N. K., & Roy, T. K. (2006). Multi-item imperfect production lot size model with hybrid number cost parameters. Applied Mathematics and Computation, 182(2), 1219–1230. doi:10.1016/j.amc.2006.04.071
  • Mutapcic, A., Koh, K., Kim, S., Vandenberghe, L., & Boyd, S. (2006). GGPLAB: a simple MATLAB toolbox for geometric programming. Web page and software. Retrieved from http://stanford.edu/boyd/ggplab.
  • Omrani, H., & Keshavarz, M. (2014). An interval programming approach for developing economic order quantity model with imprecise exponents and coefficients. Applied Mathematical Modelling, 38(15–16), 3917–3928. doi:10.1016/j.apm.2013.11.060
  • Rabbani, M., & Aliabadi, L. (2019). An inventory model with credit, price and marketing dependent demand under permitted delayed payments and shortages: A signomial geometric programming approach. Uncertain Supply Chain Management, 7(1), 33–48. doi:10.5267/j.uscm.2018.5.004
  • Sadjadi, S. J., Aryanezhad, M. B., & Jabbarzadeh, A. (2010). Optimal marketing and production planning with reliability consideration. African Journal of Business Management, 4(17), 3632–3640.
  • Sadjadi, S. J., Hesarsorkh, A. H., Mohammadi, M., & Naeini, A. B. (2015). Joint pricing and production management: a geometric programming approach with consideration of cubic production cost function. Journal of Industrial Engineering International, 11(2), 209–223. doi:10.1007/s40092-014-0079-1
  • Sadjadi, S. J., Oroujee, M., & Aryanezhad, M. B. (2005). Optimal production and marketing planning. Computational Optimization and Applications, 30(2), 195–203. doi:10.1007/s10589-005-4564-8
  • Sadjadi, S. J., Yazdian, S. A., & Shahanaghi, K. (2012). Optimal pricing, lot-sizing and marketing planning in a capacitated and imperfect production system. Computers & Industrial Engineering, 62(1), 349–358. doi:10.1016/j.cie.2011.10.006
  • Safaei, N., Sadjadi, S. J., & Babakhani, M. (2006). An efficient genetic algorithm for determining the optimal price discrimination. Applied Mathematics and Computation, 181(2), 1693–1702. doi:10.1016/j.amc.2006.03.022
  • Scott, C. H., & Jefferson, T. R. (1995). Allocation of resources in project management. International Journal of Systems Science, 26(2), 413–420. doi:10.1080/00207729508929042
  • Shen, P., & Bai, X. D. (2013). Global optimization for generalized geometric programming problems with discrete variables. Optimization, 62(7), 895–917. doi:10.1080/02331934.2011.604871
  • Shen, P., & Li, X. (2013). Branch-reduction-bound algorithm for generalized geometric programming. Journal of Global Optimization, 56(3), 1123–1142. doi:10.1007/s10898-012-9933-0
  • Shen, P., Ma, Y., & Chen, Y. (2011). Global optimization for the generalized polynomial sum of ratios problem. Journal of Global Optimization, 50(3), 439–455. doi:10.1007/s10898-010-9593-x
  • Shen, P., Zhu, Z., & Chen, X. (2019). A practicable contraction approach for the sum of the generalized polynomial ratios problem. European Journal of Operational Research, 278(1), 36–48. doi:10.1016/j.ejor.2019.03.014
  • Tabatabaei, S. R. M., Sadjadi, S. J., & Makui, A. (2017). Optimal production and marketing planning with geometric programming approach. Journal of Industrial and Systems Engineering, 10, 18–29.
  • Teng, J.-T., & Yang, H.-L. (2004). Deterministic economic order quantity models with partial backlogging when demand and cost are fluctuating with time. Journal of the Operational Research Society, 55(5), 495–503. doi:10.1057/palgrave.jors.2601678
  • Tripathy, P. K., Wee, W.-M., & Majhi, P. R. (2003). An EOQ model with process reliability considerations. Journal of the Operational Research Society, 54(5), 549–554. doi:10.1057/palgrave.jors.2601540
  • Van Beek, P., & Van Putten, C. (1987). OR contributions to flexibility improvement in production/inventory systems. European Journal of Operational Research, 31(1), 52–60. doi:10.1016/0377-2217(87)90136-6
  • Xu, G. (2013). Steady-state optimization of biochemical systems through geometric programming. European Journal of Operational Research, 225(1), 12–20. doi:10.1016/j.ejor.2012.07.026
  • Xu, G. (2014). Global optimization of signomial geometric programming problems. European Journal of Operational Research, 233(3), 500–510. doi:10.1016/j.ejor.2013.10.016

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