scholarly journals A Mixed-Integer Lexicographic Goal Programming Model for Achieving Estimated Targets in Multi-Product Systems

2018 ◽  
Vol 2 (1) ◽  
pp. 33
Author(s):  
Acha, Chigozie K
Keyword(s):  
Goal Programming ◽  
Programming Model ◽  
Mixed Integer ◽  
Product Systems ◽  
Goal Programming Model ◽  
Lexicographic Goal Programming

scholarly journals Using Mixed Integer Goal Programming in Final Yield Harvest Planning: A Case Study from the Mediterranean Region of Turkey

Forests ◽  
2020 ◽  
Vol 11 (7) ◽  
pp. 744
Author(s):  
Mehmet Demirci ◽  
Ahmet Yeşil ◽  
Pete Bettinger
Keyword(s):  
Goal Programming ◽  
Mediterranean Region ◽  
Programming Model ◽  
Mixed Integer ◽  
Forest Management Planning ◽  
Age Class ◽  
Goal Programming Model ◽  
Final Yield ◽  
Harvest Volume ◽  
The Mediterranean

A mixed integer goal programming model is developed to address the regeneration planning problems of even-aged forests in the Mediterranean region of Turkey. The unique aspect of the goal programming formulation is to minimize deviations in scheduled wood product volumes and the size of harvest areas within each time period, as these are important goals for the management area. About 98% of the forests in Turkey are considered even-aged, and 2% are uneven-aged. Therefore, an age class method is used for the planning of even-aged forests. For the areas where this method is applied, reaching the optimal age class structure is the first priority. This involves implementing final harvests (clearcuts) to regenerate an amount of forest area into each age class. To meet the local market’s needs, forest enterprises also require the final yield to be fairly equal each year. Further, it is desired that the harvest area (regeneration area) is relatively equal each year, to address operational considerations. A linear goal programming model is developed to address the problem. The minimization of deviations from both the harvest area and harvest volume targets are incorporated as goals in the objective function of the model. Several scenarios are solved using the extended version of Lingo 16. A scenario with weights of 0.8 for area and 0.2 for volume produces the best results. Here, the total deviation for 20 years is 3.8 ha in area and 2889 m3 in volume. In the actual regeneration plan, the area deviation for 10 years is 54.72 ha (6.2% of total regeneration area), and the volume deviation is 20,472 m3 (9.8% of harvest volume). The model described through this study can be developed further and integrated into forest management planning software and processes used for the planning of even-aged forests in the Mediterranean region.

scholarly journals Supported Evacuation for Disaster Relief through Lexicographic Goal Programming

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 648
Author(s):  
Inmaculada Flores ◽  
M. Teresa Ortuño ◽  
Gregorio Tirado ◽  
Begoña Vitoriano
Keyword(s):  
Goal Programming ◽  
Programming Model ◽  
Operation Time ◽  
Health Condition ◽  
Human Beings ◽  
Goal Programming Model ◽  
Logistic Problem ◽  
Joint Consideration ◽  
The Impact ◽  
Lexicographic Goal Programming

Disasters have been striking human-beings from the beginning of history and their management is a global concern of the international community. Minimizing the impact and consequences of these disasters, both natural and human-made, involves many decision and logistic processes that should be optimized. A crucial logistic problem is the evacuation of the affected population, and the focus of this paper is the planning of supported evacuation of vulnerable people to safe places when necessary. A lexicographic goal programming model for supported evacuation is proposed, whose main novelties are the classification of potential evacuees according to their health condition, so that they can be treated accordingly; the introduction of dynamism regarding the arrival of potential evacuees to the pickup points, according to their own susceptibility about the disaster and the joint consideration of objectives such us number of evacuated people, operation time and cost, among which no trade-off is possible. The performance of the proposed model is evaluated through a realistic case study regarding the earthquake and tsunami that hit Palu (Indonesia) in September 2018.

scholarly journals Lexicographic Goal Programming Model for Bank’s Performance Management

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Ali AlArjani ◽  
Teg Alam
Keyword(s):  
Saudi Arabia ◽  
Performance Management ◽  
Goal Programming ◽  
Financial Management ◽  
Programming Model ◽  
Financial Statements ◽  
Operating Income ◽  
Proposed Model ◽  
Goal Programming Model ◽  
Lexicographic Goal Programming

Any bank’s financial management is essential to preparing the assets and liabilities for multiple goals. In this paper, we develop an optimal bank model for the financial management department in the Kingdom of Saudi Arabia. The lexicographic goal programming model was used to formulate the banks’ performance management. In this study, the six goals of one of the leading banks in Saudi Arabia, namely, maximize asset, minimize liability, maximize equity, maximize operating income, maximize net income, and maximizing total goal achievements in the financial statement, were studied. To illustrate the model, we have focused on Al Rajhi Bank’s financial statements as a case study. The data was obtained from the banks’ financial statements. The outcomes of the study exhibited that all goals were accomplished. This proposed model is dynamic because it will help examine the banks’ financial strengths located in the kingdom. As a result, the proposed model can guide banking firms in making decisions and developing strategies to deal with numerous monetary circumstances.

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