Two-Phase Multi Objective Fuzzy Linear Programming Approach for Sustainable Irrigation Planning

Abstract

The objective of the present study is to develop the irrigation planning model and to apply the same in the form of TwoPhase Multi Objective Fuzzy Linear Programming (TPMOFLP) approach for crop planning in command area of Jayakwadi Project Stage I, Maharashtra State, India. The development of TPMOFLP model is on the basis of various Linear Programming (LP) models and Multi Objective Fuzzy Linear Programming (MOFLP) models, these models have been applied for maximization of the Net Benefits (NB), Crop production (CP), Employment Generation (EG) and Manure Utilization (MU) respectively. The significant increase in the value of level of satisfaction (λ) has been found from 0.58 to 0.65 by using the TPMOFLP approach as compare to that of MOFLP model based on maxmin approach. The two-phase approach solution provides NB = 1503.56 Million Rupees, CP = 335729.30 Tons, EG = 29.74 Million Man days and MU = 160233.70 Tons respectively. The proposed model will be helpful for the Decision Maker (DM) to take a decision under conflicting situation while planning for different conflicting objectives simultaneously and has potential to find out an integrated irrigation planning with prime consideration for economic, social and environmental issue.

Multi-objective fuzzy optimization for sustainable irrigation planning

“…Li et al (2016) have proposed the bi-objective programming model with fuzzy inputs such as fuzziness associated with objective functions as well as in constraints, and the developed model has been solved using the fuzzy multi-objective optimization modeling approach for the case study of the Heihe River basin, northwest China. The MOFLP with a two-phase approach can be used for optimal cropping pattern planning, and using this approach, various irrigation planning models have been proposed and presented with its application for different case study of India (Regulwar & Gurav 2013;Mirajkar & Patel 2016). have developed an irrigation water allocation model with interval-based fuzzy chance-constrained along with double-sided fuzziness and applied it to the case study of the Heihe River Basin in Northwest China and found the interrelationships to support the decision-making for irrigation water management.…”

Two-phase approach to an integrated reverse logistics network considering different qualities of returned products

“…Therefore, to tackle these difficulties, a novel two-phase approach technique, as our last and the most significant contribution to the method of solving the problem, is used to obtain a fuzzy efficient solution. The two-phase approach has been proposed by Guu and Wu (1999) and widely have been used as a fuzzy optimization technique by many researchers (Karsak and Kuzgunkaya, 2002;Arikan and Gungor, 2007;Lu et al, 2012;Regulwar and Gurav, 2013;Ng et al, 2014;Wu et al, 2015;Khor et al, 2017;Chung et al, 2018). If the decision-maker is looking for an efficient solution for improving the max operators' solution, the two-phase technique fulfills this aim if there is room to improve and consequently pursues a better utilization of each constrained resource (Guu and Wu, 1999).…”