Applications of mixed integer programming can be found in many industries, such as transportation, healthcare, energy, and finance, their economic impact is significant. It also well known that programs (MIPs) very difficult to solve. Their challenge continues stimulate research the design implementation efficient effective techniques better solve them. In this study, we introduce a novel power...

Nurse scheduling is a topic widely studied due to its overall effect on patient care and hospital performance. This research focuses formulating Mixed Integer Programming (MIP) workforce model as nurse rostering problem. The incorporates multiple objectives of individual preference qualification. approached by categorizing nurses into different hierarchical levels based their qualifications pos...

this paper studies the hybrid flow shop scheduling where the optimization criterion is the minimization of total tardiness. first, the problem is formulated as a mixed integer linear programming model. then, to solve large problem sizes, an artificial immune algorithm hybridized with a simple local search in form of simulated annealing is proposed. two experiments are carried out to evaluate th...

responsibility in demand networks is one of the most important measures of performance. the concept of agility and flexibility in service and production. variety and changes in demand need more flexible network design that can cope with potential shortage and delay. this paper presents new mathematical model to optimize the design of demand network when there are highly variable demands. it als...

Data Envelopment Analysis (DEA) cannot provide adequate discrimination among efficient decision making units (DMUs). To discriminate these efficient DMUs is an interesting research subject. The purpose of this paper is to develop the mix integer linear model which was proposed by Foroughi (Foroughi A.A. A new mixed integer linear model for selecting the best decision making units in data envelo...

Although several papers have studied no-idle scheduling problems, they all focus on flow shops, assuming one processor at each working stage. But, companies commonly extend to hybrid flow shops by duplicating machines in parallel in stages. This paper considers the problem of scheduling no-idle hybrid flow shops. A mixed integer linear programming model is first developed to mathematically form...

The business environment is full of uncertainty. Allocating the wealth among various asset classes may lower the risk of overall portfolio and increase the potential for more benefit over the long term. In this paper, we propose a mixed singlestage R&D projects and multi-stage securities portfolio selection model. Specifically, we present a bi-objective mixed-integer stochastic programming mode...