In this paper, the bi-criteria machine scheduling problems (BMSP) are solved, where the discussed problem is represented by the sum of completion and the sum of late work times  simultaneously. In order to solve the suggested BMSP, some metaheurisitc methods are suggested which produce good results. The suggested local search methods are simulated annulling and bees algorithm. The results of the new metaheurisitc methods are compared with the complete enumeration method, which is considered an exact method, then compared results of the heuristics with each other to obtain the most efficient method.

Groundwater recharge estimation is essential for management of groundwater systems.  As groundwater is a vital source of water for domestic and agricultural activities in the study area (Karbala - Najaf plateau), ‎where the Dibdibba aquifer represents the primary and essential aquifer, evaluation of groundwater recharge is critical in the study area. A wide range of methodologies exists for estimating recharge.‎ ‎The water-table fluctuation method strategy might be the most generally utilized system for estimating recharge; it requires learning of changes in water levels over time and specific yield. Advantages of this approach include its simplicity and an insensitivity to the mechanism by which water moves through the unsatu

The investment government expenditure is considered the fundamental of enhancing the economic activity as it has become a mean for achieving capital accumulation in all economic  sectors, The Iraqi economy is characterized of being yield unilateral depending petroleum  revenues as an essential  resource of financing government expenditure , as  the contribution of petroleum  sector in GDP is large in proportions to other economic sectors  contribution.

 The relationship between investing government expenditure, and non-oil GDP  is about to be not existent during the

In this study two types of extraction solvents were used to extract the undesirable polyaromatics, the first solvent was furfural which was used today in the Iraqi refineries and the second was NMP (N-methyl-2-pyrrolidone).
The studied effecting variables of extraction are extraction temperature ranged from 70 to 110°C and solvent to oil ratio in the range from 1:1 to 4:1.
The results of this investigation show that the viscosity index of mixed-medium lubricating oil fraction increases with increasing extraction temperature and reaches 107.82 for NMP extraction at extraction temperature 110°C and solvent to oil ratio 4:1, while the viscosity index reaches to 101 for furfural extraction at the same extraction temperature and same

This research includes the study of dual data models with mixed random parameters, which contain two types of parameters, the first is random and the other is fixed. For the random parameter, it is obtained as a result of differences in the marginal tendencies of the cross sections, and for the fixed parameter, it is obtained as a result of differences in fixed limits, and random errors for each section. Accidental bearing the characteristic of heterogeneity of variance in addition to the presence of serial correlation of the first degree, and the main objective in this research is the use of efficient methods commensurate with the paired data in the case of small samples, and to achieve this goal, the feasible general least squa