This paper considers a different version of the parallel machines scheduling problem in which the parallel jobs simultaneously requirea pre-specifiedjob-dependent number of machines when being processed.This relaxation departs from one of the classic scheduling assumptions. While the analytical conditions can be easily statedfor some simple models, a graph model approach is required when confli...

rapid urban growth is resulting into increase in travel demand and private vehicle ownership in urban areas. in the present scenario the existing infrastructure has failed to match the demand that leads to traffic congestion, vehicular pollution and accidents. with traffic congestion augmentation on the road, delay of commuters has increased and reliability of road network has decreased. four s...

This paper investigates the single-machine due-window assignment scheduling with truncated learning effects and past-sequence-dependent setup times simultaneously. The scheduler has option of job-rejection, i.e., some jobs are processed other rejected. Under three (i.e., common, slack different) methods, our goal is to minimize sum a general earliness-tardiness cost weighted earliness-tardiness...

Manufacturing performances tend to produce defects due to various reasons which can be improved by identifying and eliminating them using six sigma. In the present work, DMAIC (Define, Measure, Analyze, Improve and Control) has been used to reduce the number of vehicle engine rejection. In define phase problem was defined by selecting the core issues concerned. In the measure phase data was col...

This article addresses resource allocation scheduling problems with slack due window on a single machine. Linear and convex are considered. Our goal is to determine the optimal schedule, window, allocation, minimizing various objective functions respect criteria (position-dependent weights number of early jobs, tardy starting time, size) consumption function. For linear problem, we study two ca...

a method for solving the descriptor discrete-time linear system is focused. for easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. in partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

Capacity effects are investigated, particularly as regards congestion of facilities with immobile (or fixed) servers. A review is given of research to date in this area, together with some related work. First, general implications of facility capacities being capacitated are discussed with regard to assignment of users to facilities, time (or distance) transformations, integrality, feasibility,...