Lexicographic Goal Programming for Different Conflicting Objectives While Packing of Apples in Kashmir Valley
Zahid Amin Malik
, Rakesh Kumar
, Govind Pathak
, Haridas Roy
Abstract
Apple production plays a vital role in the economy of Jammu and Kashmir (India), particularly in the Kashmir division. The apples of Kashmir valley are very famous and gained popularity among people all over the globe because of their crispiness, flavour, salacious, and attractiveness. Apples of Kashmir valley are reaching not only to every part of India but transported to foreign countries also. Now, it is important to make their packaging virtuous, trendy and in a good manner to reach in a decent condition to every transported area. In Kashmir, some people are doing marketing by purchasing apples from apple producers in unpacking customs and then packing them to transport in other states or within the state. Apple packing being a complex phenomenon requires superior treatment and utmost care. The apple holder made efforts to accomplish the different objectives throughout the process of apple packing. In reality, we find it very problematic to gratify all such rested objectives at their uppermost degree at the same time. For this, we are in a state in which we get only "pleased" solutions, no "optimal" solutions. There are frequent multi-objective models intended at supportive decision- makers faced with frequent and sometimes contradictory assessments. The purpose of this study is to use lexicographic goal programming (LGP) during apple packing in a direction to accomplish, unlike contradictory objectives. The result was obtained by LINGO 18.0 software based on collected data to accomplish a satisfactory solution. The obtained result showed that all the desired goals set by the apple holder during the packaging of apples were met.
References
1. A. Charnes; W.W. Cooper; Management Models and the Industrial Applications of Linear Programming, Wiley, 1, New York (1961).
2. A. Satkhed; G. A. Vatsala; K. J. Ghanashyam; A New Approach to Optimize the Production Using Compost from Solid Waste,International Journal of Advances in Science Engineering
and Technology,6(1) 81-85 (2018).
3. C. Romero; Extended Lexicographic Programming and Unifying Approach. Omega,
29 63-71 (2001).
4. Jyoti; H. Mannan; Goal Programming: An
Application to Financial Estimation of Organization/Institution,ELK Asia Pacific Journal of Finance and Risk Management, 7(1) (2016).
5. J. Ali; J. Kachroo; D. J. Bhat; A. Bhat; Analysis of Prices and Arrivals of Apple Fruit in Narwal Market of Jammu, Economic Affairs, 63(1) 107-111, (2018).
6. J. P. Ignizio; Goal Programming and Extensions, Lexington Books, Lexington, MA (1976).
7. M. K. Sing; A. K. S. Choudhary; U. K Dey; Optimization of Large Open Cast Projects by Lexicographic Goal Programming,International Journal of Management and Systems, 16(3) 251-253 (2000).
8. M. S. Al-Ashhab; T. Attia; S. M. Munshi; Multi-ObjectiveProduction Planning Using Lexicographic Procedure,American Journal of Operations Research,7 174-186, (2017).
9. Noviyarsi; L. Setiawati; A. Arisya; Optimization of Production Planning Using Goal Programming Approach at Chocolate Factory,MATEC Web of Conferences 248, 03016 (2018).
Figure 5. Different variety of apples
10. P. P. Kumar; Goal Programming Through Bakery Production,International Journal of Scientific and Technology Research, 8(10) 3722-3725 (2019).
11. S. Behura; A Decision-Making Model in Production Planning using Lexicographic Goal Programming Approach under Pre-emptive Priority Structure,International Journal of Computational Science and Mathematics,3(1) 55-60 (2011).
12. S. H. Sheikh; A.K. Tripathi; Socio-Economic Conditions of Apple Growers of Kashmir Valley: A Case Study of District Anantnag, International Journal of Educational Research and Technology, 4 (1) 30 – 39 (2013).
13. S. I. Ahmad; A Study on the Production and Marketing Cost of Apple Fruit in Kupwara District of Jammu and Kashmir,Advances in Management, 12(1) 91-98 (2019).
14. S.M. Lee; Goal Programming for Decision Analysis, Auerbach, Publishers Philadelphia: Pennsylvania (1972).
15. T. A Bhat; T. Choure; Status and Strength of Apple Industry in Jammu and Kashmir,International Journal of Research, 1(4) 277-283 (2014).
16. T. W. Lin; D. E. O`leary; Goal Programming Applications in Financial Management. Advances in Mathematical Programming and Financial Planning, 3211-229 (1993).
17. W. Ogryczak; A Goal Programming Model of the Reference Point Method,Annals of Operation Research, 51 33-44 (1994)
Trion Studio
